The area of the triangle below is 25/18 square meters. What is the length of the base? Express your answer as a fraction in simplest form

The Area Of The Triangle Below Is 25/18 Square Meters. What Is The Length Of The Base? Express Your Answer

Answers

Answer 1

The length of the base with area 25/18 square meters is 5/3 meters. This answer is in its simplest form.

What is height of triangle?

The height of a triangle is the length of the line segment that is drawn from the vertex of the triangle perpendicular to the base.

The area of a triangle is given by the equation

A = 1/2 * base * height.

Therefore, we can substitute the value of the area and the height of the triangle into the equation to solve for the base.

A = 1/2 * b * (5/3)

25/18 = 1/2 * b * (5/3)

We will divide left side of the equation by 5/3.

(25/18) / (5/3) = (1/2)*b

(25/18) * 3/5 = (1/2)*b

Now, we can solve for b by dividing the left side of the equation by 1/2

(5/6) / (1/2) = b

b = 5/6 * (2/1)

b = 5/3

Therefore, the length of the base is 5/3 meters. This answer is in its simplest form.

For more questions related to triangle

https://brainly.com/question/17335144

#SPJ1


Related Questions

find the value of k for which (x+1) is a factor of f(x). when k has this value, find another factor of f(c) of the form (x+a), where a is a constant

Answers

the roots of the polynomial [tex]x^{5}[/tex] - [tex]7x^{3}[/tex] + 10x are 0, ±√5, and ±√2. Thus, the other factors of f(x) are (x+√5), (x-√5), (x+√2), and (x-√2).

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

If (x+1) is a factor of f(x), then f(-1) = 0. Thus, we can substitute -1 for x in the expression for f(x) and solve for k:

f(-1) = [tex](-1)^{6}[/tex] - 6[tex](-1)^{4}[/tex] + 17[tex](-1)^{2}[/tex] + k = 1 - 6 + 17 + k = 12 + k

Since f(-1) = 0, we have:

12 + k = 0

Solving for k, we find:

k = -12

So, when k = -12, (x+1) is a factor of f(x).

To find another factor of f(x), we can divide f(x) by (x+1) using polynomial long division or synthetic division. The result is:

f(x) = (x+1)([tex]x^{5}[/tex] - [tex]7x^{3}[/tex] + 10x)

So, another factor of f(x) is (x+a), where a is a root of the polynomial x^5 - 7x^3 + 10x. We can find the roots of this polynomial using a numerical method or by factoring it using the rational root theorem. By inspection, we can see that x=0 is a root, so we can factor out x:

x([tex]x^{4}[/tex] - [tex]7x^{2}[/tex] + 10) = 0

The quadratic factor can be factored further as:

x([tex]x^{2}[/tex] - 5)([tex]x^{2}[/tex] - 2) = 0

So, the roots of the polynomial [tex]x^{5}[/tex] - [tex]7x^{3}[/tex] + 10x are 0, ±√5, and ±√2. Thus, the other factors of f(x) are (x+√5), (x-√5), (x+√2), and (x-√2).

To learn more about polynomial from the given link:

https://brainly.com/question/11536910
#SPJ1

HELP PLSSSS SSSSSSSS

Answers

Answer:A

Step-by-step explanation: i have had this question before

Answer:

A

Step-by-step explanation:

A proportion is given:

[tex] \frac{4}{5} = \frac{ {x}^{2} }{20} [/tex]

Use the property of proportion to find x (cross-multiply):

[tex]5 \times {x}^{2} = 20 \times 4[/tex]

[tex]5 {x}^{2} = 80[/tex]

Divide both sides of the equation by 5 to make x^2 the subject:

[tex] {x}^{2} = 16[/tex]

[tex]x > 0[/tex]

[tex]x = \sqrt{16} = 4[/tex]

a pentagon-shaped prism has bases with areas of 10 square feet each. it has rectangular sides with dimensions of 2 feet by 3 feet. find the total surface area.

Answers

Answer:

Step-by-step explanation:

What is a rectangular prism?

A right rectangular prism is a box-shaped object, that is, a 3-dimensional solid which has six rectangular faces. Rectangular prisms can also be oblique - leaning to one side - but the side faces are parallelograms, not rectangles. A right rectangular prism is also called a cuboid, box, or rectangular hexahedron. Moreover, "rectangular prism" and "right rectangular prism" are often used interchangeably.

The most common math problems related to this solid are of the type right rectangular prism calc find V or find A, where the letters stand for the Volume and Area, respectively. Let's see the necessary rectangular prism formula and learn how to solve those problems quickly and easily.

How do I find the volume of a rectangular prism?

The rectangular prism volume formula is:

volume = h × w × l,

where h is prism height, w is its width, and l is its length. To calculate the volume of a cardboard box:

Find the box length. For example, it can be equal to 18 in.

Determine its width. Let's say you measured 12 in.

Find out the rectangular prism height. Assume it's 15 in.

Calculate the cuboid volume. Using the rectangular prism volume formula above, we get volume = (18 × 12 × 15) in = 3240 in³.

How do I find the area of a rectangular prism?

The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces:

surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),

where h is prism height, w is its width, and l is its length.

Let's see an example of how to solve the right rectangular prism calc - find A problem. We'll come back to our example with the box and calculate its surface area:

Calculate the rectangular prism surface area. First rectangle area is 15in × 12in = 180in², second 15in × 18in = 270in² and third one 18in × 12in = 216in². Add all three rectangles' areas - it's equal to 666 in² (what a number!) - and finally multiply by 2. The surface area of our cardboard box is 1332in².

Or save yourself some time and use our rectangular prism calculator.

Finally, let's attack the right rectangular prism calc find d (that is, the diagonal) type of problem.

How do I calculate the diagonal of a rectangular prism?

To determine the diagonal of a rectangular prism, apply the formula:

diagonal = √(l² + h² + w²)

where h is prism height, w is its width, and l is its length.

Do you have the feeling that you saw the formula before? Yes, that's possible because this equation resembles the famous one from the Pythagorean theorem.

HELP ASAP
A composite figure is represented in the image.

A four-sided shape with the base side labeled as 21.3 yards. The height is labeled 12.8 yards. A portion of the top from the perpendicular side to a right vertex is labeled 6.4 yards. A portion of the top from the perpendicular side to a left vertex is labeled 14.9 yards.

What is the total area of the figure?

272.64 yd2
231.68 yd2
190.72 yd2
136.32 yd2

Answers

The total area of the trapezoid is approximately 273.664 square yards. The Option A is correct.

How to Find the Area of a Trapezoid?

The area of a trapezoid is found using the formula, A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is the height (the perpendicular distance between the bases) of the trapezoid.

To find the area of the figure, we need to divide it into two triangles and find the area of each triangle.

The area of the first triangle (with base 21.3 yards and height 12.8 yards) is:

(1/2) * base * height = (1/2) * 21.3 * 12.8 = 136.704 square yards.

The area of the second triangle (with base 6.4 yards and height 12.8 yards) is:

(1/2) * base * height = (1/2) * 6.4 * 12.8 = 41.216 square yards.

The area of the third triangle (with base 14.9 yards and height 12.8 yards) is:

(1/2) * base * height = (1/2) * 14.9 * 12.8 = 95.744 square yards.

Now, the total area of the figure is the sum of the areas of these three triangles:

= 136.704 + 41.216 + 95.744

= 273.664 square yards.

Read more about trapezoid

brainly.com/question/1410008

#SPJ1

ANWSER FOR 10 and 11ONLY

(80 points)

Answers

The measure of angle m<BAC = 110 and the measure of angle m<ABC = 35.

State the angle sum property of a triangle.

The angle sum property of the triangle state that the sum of interior angles of triangles is 180.

<CDB = 55 (Given)

By degree measure theorem

<CAB = 2 <CDB

<CAB = 2 * 55 = 110

Again AC = AB (Radius of the circle)

Then

<ACB = <ABC (angles opposite to equal sides)

let <ACB = m

In triangle ACB,

By angle sum property: <ACB + <ABC + <CAB =180

m + m + 100 = 180

2m = 180 - 110

2m = 70

m = 70/2 = 35

<ACB = <ABC = 35

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ1

Question one: - prove: (a) ||U+V|| ≤ ||U|| + ||V||.​

Answers

Taking the square root of both sides of the inequality, we get:

||U + V|| ≤ ||U|| + ||V||

What is triangle inequality theorem?

The triangle inequality theorem states that, the sum of the length of two sides must be greater than the length of the third side of that triangle.

To prove it, we start by squaring both sides of the inequality:

||U + V||² ≤ (||U|| + ||V||)²

Expanding the right-hand side of the inequality, we get:

||U + V||² ≤ ||U||² + 2||U|| ||V|| + ||V||²

Now, let's use the fact that ||U + V||² = (U + V) · (U + V), where · denotes the dot product:

(U + V) · (U + V) ≤ ||U||² + 2||U|| ||V|| + ||V||²

Now, we have:

||U||² + 2U · V + ||V||² ≤ ||U||² + 2||U|| ||V|| + ||V||²

Therefore, we have:

||U + V||² ≤ ||U||² + 2||U|| ||V|| + ||V||²

≤ ||U||² + 2U · V + ||V||²

= (||U|| + ||V||)²

Taking the square root of both sides of the inequality, we get:

||U + V|| ≤ ||U|| + ||V||

This is exactly what we wanted to prove. Therefore, we have shown that ||U + V|| ≤ ||U|| + ||V||.

To know more about triangle inequality theorem visit,

https://brainly.com/question/1163433

#SPJ9

In a parallelogram, the longer side is 20 cm longer than twice the shorter side. the perimeter is 130 cm. Find the dimensions (length and width) of the parallelogram. Whats the answer and solution?

Answers

Answer:

15 cm (shorter side)

50 cm (longer side)

Step-by-step explanation:

Let the length of the shorter side of the parallelogram be x cm. Then, the length of the longer side is (2x + 20) cm. Since a parallelogram has opposite sides equal in length, there will be two shorter sides and two longer sides.

The perimeter of the parallelogram is given as 130 cm. The sum of the lengths of all four sides is equal to the perimeter. Therefore, we can set up the following equation:

2x + 2(2x + 20) = 130

Now, we can solve for x:

2x + 4x + 40 = 130

6x + 40 = 130

6x = 130 - 40

6x = 90

x = 90/6

x = 15

Now that we have found the length of the shorter side (x), we can find the length of the longer side:

Longer side = 2x + 20 = 2(15) + 20 = 30 + 20 = 50

So, the dimensions of the parallelogram are 15 cm (shorter side) and 50 cm (longer side).

The dimensions of the parallelogram are 15 cm x 50 cm.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

Given that, in a parallelogram, the longer side is 20 cm longer than twice the shorter side. the perimeter is 130 cm.

We need to find the dimension of the parallelogram,

Let the length of the shorter side of the parallelogram be x cm.

Then, the length of the longer side is (2x + 20) cm.

The perimeter of the parallelogram is given as 130 cm.

Therefore, we can set up the following equation:

2x + 2(2x + 20) = 130

Now, we can solve for x:

2x + 4x + 40 = 130

6x + 40 = 130

6x = 130 - 40

6x = 90

x = 90/6

x = 15

Longer side = 2x + 20 = 2(15) + 20 = 30 + 20 = 50

Hence, the dimensions of the parallelogram are 15 cm x 50 cm.

Learn more about parallelogram click;

https://brainly.com/question/29147156

#SPJ2

6x+1≤37 inequality solved

Answers

Answer:

Step-by-step explanation:

determine whether Rolle’s Theorem can be
applied to on the closed interval If Rolle’s Theorem can
be applied, find all values of in the open interval such
that If Rolle’s Theorem cannot be applied, explain
why not

Answers

Rolle’s Theorem can be applied to the closed interval.

What is the Rolle’s Theorem?

In essence, Rolle's theorem or Rolle's lemma argues that there must be at least one stationary point—a position where the first derivative is zero—between any two separate sites where a real-valued differentiable function achieves equal values. The theorem bears Michel Rolle's name.

Here, we have

Given: f(x) = -x² + 3x, [0,3]

We must determine whether Rolle’s Theorem can be applied to the closed interval.

f(x) is continuous in the closed interval  [0,3].

f(x) is differentiable in the open interval (0,3)

f(0) = 0 + 0 = 0

Rolle's theorem can be applied.

f'(x) = -2x + 3

f'(x) = 0

-2x + 3 = 0

3 = 2x

x = 2/3

2/3 lies inside the [0,3].

Hence, Rolle’s Theorem can be applied to the closed interval.

To learn more about Rolle’s Theorem from the given link

https://brainly.com/question/30809316

#SPJ1

PLEASE HELP!!!!
Find the measure of minor arc MO
.

Answers

Answer:

30º

Step-by-step explanation:

LP-MO=0.5(∠LNP)

112º-MO=2(41º)

MO = 30º

I need help with this please

Answers

Answer:

29 blocks

Step-by-step explanation:

You've to count the number of blocks and that's the volume.

Lucy mode 256 neckloces. She used 16 beads on each neck-
lace. She sold the necklaces for $4 each. She spends $26 to
buy more beads. How much money does she have remaining?
A : $998
B : $1.024
C : $2,225

Answers

Answer:

A.998

Step-by-step explanation:

256 times 4 =1024-26=998 the facts that she uses 16 beads on each necklace is useless

Bridget is a salesperson. She sold a television for $320 and earned a 5% commission. How much commission did Bridget earn?

Answers

In this case, Bridget's commission rate is 5%, which can also be written as   [tex]0.05[/tex] (since 5% is equivalent to 5/100 or 0.05 as a decimal).  Bridget earned a commission of $ [tex]16[/tex] on the sale of the television.

What commission did Bridget earn?

To calculate the commission that Bridget earned, we can use the formula:

commission [tex]= (percentage/100) \times sale price[/tex]

where the sale price is the price of the television that Bridget sold, and the percentage is the commission rate, which is 5%.

Using this formula, we can calculate the commission as:

commission[tex]= (5/100) \times $320 = $16[/tex]

Therefore, Bridget earned a commission of $  [tex]16[/tex] on the sale of the television.

Learn more about commission here:

https://brainly.com/question/20987196

#SPJ9

The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a standard deviation of 1 minute. For about what percent of emergencies does the fire department arrive at the scene in 8 minutes or less?

Answers

The probability that the fire department arrives at the scene in 8 minutes or less is approximately 0.9772 or 97.72%.

What is the standard deviation?

The standard deviation is a measure of the amount of variation or dispersion in a set of data. It measures how much the data deviates from the mean value.

We are given that the times the fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a standard deviation of 1 minute.

Let X be the random variable representing the time taken by the fire department to arrive at the scene of an emergency. Then, we have:

X ~ N(6, 1)

We want to find the probability that the fire department arrives at the scene in 8 minutes or less. Mathematically, we want to find:

P(X ≤ 8)

To find this probability, we can standardize the random variable X by subtracting the mean and dividing by the standard deviation:

Z = (X - μ) / σ

Substituting the values of μ and σ, we get:

Z = (X - 6) / 1

Z represents the standard normal distribution with a mean of 0 and a standard deviation of 1. Therefore, we can use a standard normal distribution table or calculator to find the probability that Z is less than or equal to the standardized value of 8:

P(Z ≤ (8 - 6) / 1) ≈ P(Z ≤ 2)

Looking up the probability of Z being less than or equal to 2 in a standard normal distribution table, we find that it is approximately 0.9772.

Therefore, the probability that the fire department arrives at the scene in 8 minutes or less is approximately 0.9772 or 97.72%.

To learn more about the standard deviation visit:

https://brainly.com/question/475676

#SPJ1

A diagonal is drawn on a square.

How many triangles are formed?


What is the sum of the measures of the angles of a triangle?

°

What is the sum of the angle measures of the square?

°

Answers

Answer:

2 triangles, 180 for each triangle and 360 degrees in a square

A wire that is centimeters long is shown below.

The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.

Answers

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

Define a square?

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

To know more about square, visit:

https://brainly.com/question/28776767

#SPJ1

14 x 1⁄2 x (4 + 2) + exponent 10*2

Answers

The value of the expression is 142.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions are used to represent and solve problems in many areas of mathematics, science, engineering, and finance.

To solve this expression, we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Let's start with the parentheses first:

14 x 0.5 x (4 + 2) + exponent 10*2

= 14 x 0.5 x 6 + exponent 10*2

Next, we can simplify the multiplication and division from left to right:

= 7 x 6 + exponent 10*2

= 42 + exponent 10*2

Now we can evaluate the exponent:

= 42 + 100

= 142

Therefore, the value of the expression is 142.

To learn more about Algebraic expression from given link.

brainly.com/question/31238826

#SPJ1

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

So, the dimensions that minimize the production costs are approximately:

Radius (r): 3.824 cm

Height (h): 7.610 cm

How to solve

To minimize the production cost of the cup-of-soup package, we need to find the dimensions of the cylindrical container that minimize the surface area, as the cost is directly proportional to the surface area of the materials used.

Let r be the radius of the base and h be the height of the cylinder. The volume V of the cylinder is given by:

V = πr^2h

We know that the volume is 350 cubic centimeters:

350 = πr^2h

Now, let's express the height h in terms of the radius r:

h = 350 / (πr^2)

The surface area A of the cylinder consists of the area of the sides, the bottom, and the top:

A = (side area) + (bottom area) + (top area)

The side area of the cylinder is given by 2πrh, the bottom area is given by πr^2, and the top area is given by πr^2. So, the surface area A can be expressed as:

A = 2πrh + πr^2 + πr^2

Now, let's substitute h from the previous equation to express A in terms of r only:

A = 2πr(350 / (πr^2)) + πr^2 + πr^2

A = 700/r + 2πr^2

Next, we'll find the critical points of the function A(r) to find the minimum production cost. To do this, we'll differentiate A(r) with respect to r and set the derivative equal to 0.

dA/dr = -700/r^2 + 4πr

Now, set dA/dr = 0 and solve for r:

0 = -700/r^2 + 4πr

Rearrange the equation to isolate r:

700/r^2 = 4πr

Now, multiply both sides by r^2:

700 = 4πr^3

Divide both sides by 4π:

r^3 = 700 / (4π)

Now, find the cube root of both sides:

r = (700 / (4π))^(1/3)

Now, we can find the height h using the equation we derived earlier:

h = 350 / (πr^2)

Plug in the value of r:

h = 350 / (π(700 / (4π))^(2/3))

These are the dimensions of the cylinder that minimize the production costs: radius r and height h.

To get the final answers for the radius r and height h, we need to calculate the numerical values:

r = (700 / (4π))^(1/3)

r ≈ (700 / (4 × 3.14159265))^(1/3)

r ≈ (700 / 12.56637061)^(1/3)

r ≈ 55.75840735^(1/3)

r ≈ 3.824

Now, let's calculate the height h:

h = 350 / (π(700 / (4π))^(2/3))

h = 350 / (π(3.824^2))

h ≈ 350 / (π × 14.623)

h ≈ 350 / 45.978

h ≈ 7.610

So, the dimensions that minimize the production costs are approximately:

Radius (r): 3.824 cm

Height (h): 7.610 cm

Read more about volume here:

https://brainly.com/question/1972490

#SPJ1

help pleaseeee

question
What are reasonable constraints for the context?
A) 0 <= x <= 9 and 16 <= y <= 40
2)- 9 <= x <= 9 and - 1.798 <= y <= 17.798;

C) 0 <= x <= 12 and 16 <= y <= 48

D)0 < x < 12 and 16 < y < 48

Answers

Option C) 0 <= x <= 12 and 16 <= y <= 48 would be reasonable constraints for the context.

What is the inequality equation?

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).


The x-axis represents the number of hours since 9 AM, which can range from 0 to 12 since the shift ends at 9 PM.

The y-axis represents the number of patients, which can realistically range from 16 to 48 as hospitals can have varying levels of patient traffic.

The constraint includes the endpoints of the range, which makes it more accurate.

Hence, Option C) 0 <= x <= 12 and 16 <= y <= 48 would be reasonable constraints for the context.

To know more about inequality equations visit :

https://brainly.com/question/30238989

#SPJ1

I need help solving this step by step

Answers

The Null hypothesis is that the population mean depression score of all college students is less than or equal to 38 (H₀: µ ≤ 38) while the Alternative hypothesis is that the population mean depression score of all college students is greater than 38 (Ha: µ > 38).

What is the null and alternative hypothesis?

Null hypothesis: The population mean depression score of all college students is less than or equal to 38 (H₀: µ ≤ 38).

Alternative hypothesis: The population mean depression score of all college students is greater than 38 (Ha: µ > 38).

Step 2: Test statistic

We will use a one-sample t-test since the population standard deviation is known and the sample size is greater than 30. The test statistic is calculated as:

t = (x - µ) / (σ / √(n))

where x is the sample mean, µ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the numbers, we get:

t = (40 - 38) / (16 / √(64))

t = 2

Step 3: P-value

Using a t-table with 63 degrees of freedom (df = n - 1), we find the p-value for a one-tailed test with a t-value of 2 is approximately 0.025.

Step 4: Decision

Since the p-value (0.025) is less than the alpha level (0.025), we reject the null hypothesis.

Step 5: Conclusion

There is sufficient evidence to suggest that the population mean depression score of all college students is greater than 38.

Learn more null and alternative hypotheses at: https://brainly.com/question/25263462

#SPJ1

Victor is using the distributive property on the expression 9-4(5x-6) Here is his work:

9-4(5x-6)
9+(4)(5x+-6)
9+-20x+-6
3-20x

a. Find the step where victor made an error and explain what he did wrong

b. Correct victor's work

Answers

a. He did not distribute the negative sign, which resulted in changing the signs of the terms inside the parentheses.

b. The correct simplification of the expression is 33-20x.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

a. Victor made an error in the second step where he distributed only the coefficient 4 to both terms inside the parentheses. However, he did not distribute the negative sign, which resulted in changing the signs of the terms inside the parentheses.

b. To correct Victor's work, we need to distribute both the coefficient 4 and the negative sign to all the terms inside the parentheses, which gives us:

9 - 4(5x - 6)

9 - 20x + 24 (distribute)

33 - 20x (combine like terms)

Therefore, the correct simplification of the expression is 33-20x.

To learn more about algebra from the given link:

https://brainly.com/question/24875240

#SPJ1

PLEASE HELP ME ITS URGENT!!! just solve for z! i need the exact answer, no rounding.

Answers

The length of Z is 5.65 which is the sum of 3+2.65=5.65

How to find the length?

To find the length of the perpendicular, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs (base and perpendicular).

So, if the hypotenuse is 4 and the base is 3, we can find the length of the perpendicular (P) as follows:

4² = 3² + P²

16 = 9 + P²

P² = 16 - 9

P²= 7

P = sqrt(7)

Therefore, the length of the perpendicular is sqrt(7), which is approximately 2.65 units (rounded to two decimal places).

To find the length of the hypotenuse, we can again use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs (base and perpendicular).

So, if the base is 2.65 and the perpendicular is also 2.65, we can find the length of the hypotenuse (H) as follows:

H²= 2.65² + 2.65²

H² = 7.0225 + 7.0225

H²= 14.045

H = sqrt(14.045)

Therefore, the length of the hypotenuse is sqrt(14.045), which is approximately 3.75 units (rounded to two decimal places).

To know more about triangles visit :-

https://brainly.com/question/17335144

#SPJ1

Which two expressions are equivalent

Answers

Option D is equivalent to 30 - 29m, which is equivalent to option B (8 / m) only if m is not equal to zero.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

In the given options, option A and B are not equivalent, option C is not equivalent to any other option, and option D is equivalent to option B.

Option A can be written as 5m + 35 using the distributive property of multiplication over addition.

Option B can be simplified as follows:

(15 - 7) / m = 8 / m

Therefore, option B is equivalent to 8 / m.

Option C cannot be simplified to any other expression in the given options.

Option D can be simplified as follows:

30 - (m * 29) = 30 - 29m

Therefore, option D is equivalent to 30 - 29m, which is equivalent to option B (8 / m) only if m is not equal to zero.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ1

Emma substitutes 3 for x in a one-variable linear equation and finds that it makes the equation true. She then substitutes 5 for x in the same linear equation and finds that 5 also makes the equation true. What can you conclude about the number of solutions of the equation? Explain your reasoning.

Answers

The linear equatiοn has infinite sοlutiοns.

What is equatiοn?

When twο expressiοns are jοined by the equal sign ('='), a mathematical statement is created. In οrder tο be determined, there must be at least οne unknοwn variable. An equatiοn is sοmething like 3x - 8 = 16. This equatiοn can be sοlved tο yield x = 8.Any οne variable linear equatiοns can have zerο, οne οr infinite sοlutiοns.

Emma substitutes 3 fοr x in a οne-variable linear equatiοn and finds that it makes the equatiοn true. She then substitutes 5 fοr x in the same linear equatiοn and finds that 5 alsο makes the equatiοn true.

If Emma tested twο values 3 and 5 fοr the same οne variable linear equatiοn and they were bοth true sοlutiοns, this means that the equatiοn has mοre than οne sοlutiοn.

If a οne variable linear equatiοn has mοre than οne sοlutiοn, than the equatiοn has infinite sοlutiοns.

Hence, the linear equatiοn Emma is talking abοut has infinite number οf sοlutiοns.

To know more about linear equations

https://brainly.com/question/29174899

#SPJ1

i need help with this ive been stuck on it

Answers

Answer:

JK is a line segment

Step-by-step explanation:

whoperrwrite an equation of the line in slope-intercept form for each of the followingwrite an equation of the line in slope-intercept form for each of the followingwrite an equation of the line in slope-intercept form for each of the followingwrite an equation of the line in slope-intercept form for each of the following

Answers

Answer:

whooper write an equation of the line in slope-intercept form for each of the following write an equation of the line in slope-intercept form for each of the following write an equation of the line in slope-intercept form for each of the following write an equation of the line in slope-intercept form for each of the following

Step-by-step explanation:

According to National Collegiate Athletic Association (NCAA) data, the means and standard deviations of eligibility and retention rates (based on a 1,000-point scale) for the 2013–2014 academic year are presented, along with the fictional scores for two basketball teams, A and B. Assume that rates are normally distributed.



Normal Distribution Practice data


Question 9
1 Point
On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question.


Team A has bette

Answers

By calculating the z-score, we can conclude that, Team A has better eligibility rates than Team B.

What is z-score?

A z-score (also called a standard score) is a measure of how many standard deviations a given data point is away from the mean of its distribution. It is calculated by subtracting the mean of the distribution from the data point, and then dividing the difference by the standard deviation.

To determine this, we can compare the z-scores for each team's eligibility rates.

Let's assume that Team A's eligibility rate is 875 and Team B's eligibility rate is 825.

The mean eligibility rate for all teams is given as 870, with a standard deviation of 50. Therefore, we can calculate the z-scores for each team's eligibility rate as follows:

z-score for Team A's eligibility rate = (875 - 870) / 50 = 0.1

z-score for Team B's eligibility rate = (825 - 870) / 50 = -0.9

Since the z-score for Team A's eligibility rate is positive and greater than the z-score for Team B's eligibility rate, we can conclude that Team A has better eligibility rates than Team B.

To learn more about z-score visit:

https://brainly.com/question/25638875

#SPJ1

Let the vector v have an initial point at (0, -1) and a terminal point at (-2, 3). Plot the vector V and afterwards follow the guided steps to analyze the vector.

Answers

The vector v can be represented as (-2, 4) and has a magnitude of 2√5.

What is a vector?

A vector is a quantity that not only describes the magnitude but also describes the movement of an object or the position of an object with respect to another point or object. It is also known as Euclidean vector, geometric vector or spatial vector.

Equation:

To plot the vector v with an initial point at (0, -1) and a terminal point at (-2, 3), we can draw a line segment from the initial point to the terminal point. The vector v is represented by the direction and magnitude of this line segment.

To analyze the vector v, we can calculate its components and magnitude:

Components: The components of v are the differences between the x-coordinates and y-coordinates of the terminal point and initial point, respectively. We have:

v = (-2 - 0, 3 - (-1)) = (-2, 4)

Magnitude: The magnitude of v is the length of the line segment connecting the initial point and terminal point. We can use the Pythagorean theorem to find the magnitude:

||v|| = √(-2-0)² + (3 - (-1))²) = √20 = 2√5

Therefore, the vector v can be represented as (-2, 4) and has a magnitude of 2√5.

To know more about vector, click here

https://brainly.com/question/29740341

#SPJ1

How long does it take the ball to reach maximum height?

Answers

Answer: 1second

Step-by-step explanation:

7.The perimeter of a rectangular field is 80metres,if the length of the field is 4 metres more than twice its breadth.Find the length and breadth of the field ?

Answers

Step-by-step explanation:

so you can do in this way , hope it will give you clue

Answer: Length = 28 m , Breadth = 12 m

Step-by-step explanation:

(p.s look at the document before looking at this explanation so that you understand.)

So,

lets keep the breadth of the field as x,

Breadth = x

Length = 2x + 4

Perimeter = 2 breadths + 2 lengths

          80  = 2 ( x ) + 2( 2x + 4 )

          80  = 2x + 4x + 8

          80  = 6x + 8

          6x  = 80 - 8

                = 72

           x = 72/ 6

              = 12 ( breadth )

     Length = 2 (12) + 4

                  = 28

Checking

28m + 28m + 12m + 12m = 80

Other Questions
Ignacio is interested in working in a university and wants to help students, but doesnt want to be a teacher. Hed like to get a sense of what its like to work as a university administrator. Which role is the BEST choice for him? A. assistant in the registrars office B. assistant to the librarian C. research assistant to a professor D. assistant to the janitorial staff if you believe a present problem is only a variation of past problems, which conceptual block is inhibiting your creative problem solving? which of the following solutions could be classified as a buffer? view available hint(s)for part a which of the following solutions could be classified as a buffer? 0.100 m hno2 and 0.100 m nano2 0.100 m hcl and 0.100 m nh4cl 0.100 m hcl and 0.100 m naoh 0.100 m hbr and 0.100 m kbr akers co. owned 8,000 shares (80%) of the outstanding 8%, $100 par, preferred stock and 70% of the outstanding common stock of brickman co. assuming there are no excess amortizations or intra-entity transactions, and brickman reports net income of $810,000, what is the noncontrolling interest in the subsidiary's income? How to complete ??? Thankssss What is gun violence One penny has a mass of 2.5 g. Each roll of pennies contains 50 pennies. Write an equation with two variables that can be used to determine the total mass in grams of the pennies in any number of rolls of pennies. Show your work. What kind of triangle whose sides are 53,28,45. vanessa felt as if she would never achieve the status of senior officer at her company. all of the senior officers were men, and she was sure it would always be that way. vanessa was feeling the effects of which event caused the shift in the conventions of egyptian art and culture during the rule of the emperor akhenaten? According to the Nebular Theory, the Sun's gravity caused...*the number of planets in our solar system to be limited to 10Jupiter to have a total of 49 moonsthe arrangement of the planets to be terrestrial inside the asteroid belt and jovian outside the asteroid beltorbits of the outer 4 planets to be faster than the orbits of the inner 4 planets what is the frequency of an electromagnetic wave with a wavelength of 125 nm? what type of electromagnetic wave is this? when comparing the direct write-off and allowance methods, which of the following statements applies to the direct write-off method? a.an allowance account is used. b.the expense is recognized when the account is written off rather than in the period of sale. c.primary users are large companies and those with a large amount of receivables. d.the result is based on either (1) a percentage of sales or (2) an analysis of receivables. opal earned 7.5 percent in her savings account. if she is in the 28 percent tax bracket, what is her after-tax savings rate of return? Comprehensively discuss with examples how robotics and learning systems can be used in improving patients service in a hospital on april 7, smithco purchased industrial equipment from equipco on credit and took possession of the equipment the same day. equipco filed a financing statement covering the equipment on april 18. on april 10, smithco borrowed funds from loanco secured by all of smithco's equipment. loanco filed its financing statement on april 11. twenty months later, smithco defaulted on both loans. equipco paid collectionco $750 to foreclose on the equipment and sell it at auction. which party will be paid first from the equipment sale proceeds? you have borrowed $50,000 at an interest rate of 12%. equal payments will be made over a three-year period. (the first payment will be made at the end of the first year.) what will the annual payment be, and what will the interest payment be for the second year? How many blades of grass would it take to keep a family of four eagles alive for a day? What does this quote by Napolean-"I no longer considered myself a mere general, but a man called upon to decide the fate of peoples" (Paragraph 6)-reveal about his character? Cite evidence from the text to support your answer. 4. what are the relative proportions in which men and women engage in unpaid work in developed and developing economies? what are the impacts of any such differences in these proportions in establishing the relative levels of economic well-being for men and women?