What is the area of the triangle below (in square units)?

Answer:

4.88

Step-by-step explanation:

Hops This Helps!

To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.

In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.

[tex]4\dfrac{7}{8}[/tex]

[tex]4\times8=32+7=39[/tex]

Now, put that sum over the denominator:

[tex]\dfrac{39}{8}[/tex] (improper)

Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:

[tex]39\div8[/tex]

[tex]=\fbox{4.875}[/tex]  (final answer)

Answer:

∠ SQT = 63°

Step-by-step explanation:

since QS bisects ∠ RQT , then

∠ RQS = ∠ SQT = 7x + 7

then

∠ RQS + ∠ SQT = ∠ RQT , that is

7x + 7 + 7x + 7 = 9x + 54

14x + 14 = 9x + 54 ( subtract 9x from both sides )

5x + 14 = 54 ( subtract 14 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Then

∠ SQT = 7x + 7 = 7(8) + 7 = 56 + 7 = 63°

Answer:

F = 24

Step-by-step explanation:

simplify 1/8

(1/8 x F) - 3 = 0

3 = 3/1 = 3 x 8/ 8

F x (3 x 8) / 8 F - 24/ 8

F - 24/ 8 = 0

F - 24/ 8 = 0 x 8

Answer:

  24

Step-by-step explanation:

You want to know f for 1/8f = 3.

Multiply the given equation by 8 to undo the multiplication by 1/8:

  8(1/8f) = 8(3)

  f = 24 . . . . . . . . simplify

The value of f is 24.

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Answer:

x = 10 and x = 2

Step-by-step explanation:

x² - 6x + 20 = 6x

x² - 12x + 20 = 0

We should have values of p and q that multiply and give the answer as 20 and if added give -12.

=> p * q = -10 * -2 = 20

=> p + q = -10 + (-2) = -12

Therefore, we can factor it now:

(x - 10) (x - 2) = 0

We can say:

x - 10 = 0, and x - 2 = 0

=> x = 0 + 10, and x = 0 + 2

=> x = 10 and x = 2

Hope this helps!

The system X² y² 25 and ay 10 has no real solutions.

To solve this system, we need to solve each equation for y.

For the first equation, X² y² 25, we can divide both sides by X² to get:

y² = 25/X²

Then, take the square root of both sides to get:

y = ± √(25/X²)

For the second equation, ay = 10, we can divide both sides by a to get:

y = 10/a

To find out if the system has real solutions, we need to compare the two equations. Since the two equations are not equal, the system has no real solutions.

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Answer:

10^14

Step-by-step explanation:

The expression (10^2)^7 uses an exponent rule known as power raised to a power.

The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:

[tex](a^m)^n\\a^m^n[/tex]

Thus, we have

[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]

The differential equation [tex]\frac{dy}{dx} = xy^{4}[/tex] is considered and the solutions for the following questions are found.

What is a differential equation?

A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.

The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.

Given,

    [tex]\frac{dy}{dx} = xy^{4}[/tex]

a) Now finding [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^{4} + 4xy^{3} \frac{dy}{dx}[/tex] = [tex]y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7[/tex]

In quadrant II, the values of x < 0 and the values of y >0.

So  [tex]\frac{d^{2} y}{dx^{2} }[/tex] =  [tex]y^4 + 4x^2y^7[/tex] > 0 for all values of x and y in quadrant II.

Therefore the concavity is up for of all solution curves of the given differential equation.

b)

         [tex]\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c[/tex]

      Now it is given that initial condition is f(4) = -1

   So substituting x =4 and y = -1 is the above equation to find c, we get

        [tex]\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}[/tex]

Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.

  [tex]\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }[/tex]

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Answer:

SW =XW and ST=XU and UW=TW

Step-by-step explanation:

All are true and correct since the two triangles are congruent

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

Answer:

<B =121

Step-by-step explanation:

If the angles form a linear pair, they add to 180

6x-19 + 11x-22 = 180

Combine like terms

17x -41 = 180

Add 41 to each side

17x-41+41 = 180+41

17x = 221

Divide by 17

17x/17 =221/17

x =13

<b = 11x-22 = 11*13 -22 = 143-22 =121

Answer:

Step-by-step explanation:

Here's the complete question:

It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe

The percentage Increase of the shoe will be:

= Selling price - Cost/ Cost × 100

= (130.19 - 55.00) / 55.00 × 100

= 75.19 / 55.00 × 100

= 136.71%

The percent difference between the price of the original shoe and the price of the amazon shoe will be:

= (130.19 - 108)/130.19 × 100

= (22.19 / 130.19) × 100

= 17%

The measure of the angle ∠C in the triangle ABC can be gotten using tan m∠C = 2

An equation shows how two or more numbers and variables are related to each other.

On the other hand, trigonometric ratios are used to show the relationship between the sides and angles of a right angled triangle.

The basic equations of the trigonometry ratios are

Using the above as a guide, and the given triangle:

We have:

tan m∠C = opposite/adjacent

Substitute the known values in the above equation, so, we have the following representation

tan m∠C = 6/3

Evaluate

tan m∠C = 2

Hence, the true equation is (d) tan m∠C = 2

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Answer:

4 i think

Step-by-step explanation:

i think 2 but i dont know for sure ahahahaha

Answer:

240

Step-by-step explanation:

Answer:

(2) y = -2x² + 6x - 6

Step-by-step explanation:

Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.

Answer:

Explanation is^{}

in a file

bit.^{}

ly/3gVQKw3

Answer:

Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-​column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.

Step-by-step explanation:

Answer:

90670998.89999999999999

Answer:

-15

Step-by-step explanation:

5x-3=-15

Step-by-step explanation:

Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 24.0 degrees

Explanation: Using the Law of Sines, you can set up a ratio of

[tex]\frac{sin(62)}{740} = \frac{sin(H)}{340}[/tex] to find angle H. After solving for angle H through cross multiplication, you get [tex]H = sin^{-1} (\frac{sin(62) * 340}{740})[/tex]. Then, solving for H, you get a value of 24.0. To find all other cases, you can do 180-24.0, which results in 156.0 degrees. However, when you add 156.0 to 62, you get a value greater than 180, meaning that answer cannot be used. So, your final and only answer is 24.0. Hope this helped!

Answer:

24 degrees

Step-by-step explanation:

see attached image

Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.

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Answer:

22cm  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

21.98 rounded = 22

Step-by-step explanation:

There are two formulas to find circumference either C=2πr or C=πd.

In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.

Answer:

[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

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Answer:

3:1 or 3

Step-by-step explanation:

the left triangle is scaling up to the right triangle. 5/15 is 1/3

7/21 is 1/3

4/14 is 1/3

since it is scaling UP, the scale factor is 3:1

The combined volume of the podium and the platform is 64 cubic feet.

This sort of figure offers several choices. We really only need to consider how to divide the front face into appropriate rectangles, since the depth of the figure is 2 feet everywhere.

The volume is the area of the front face times that depth.

1) A 2 ft × 4 ft upright atop a 12 ft × 2 ft horizontal base. The frontal area is

(2 ft)(4 ft) +(12 ft)(2 ft) = 8 ft² +24 ft² = 32 ft

so, the total volume is:

V = frontal area × depth

V= (32 ft²)(2 ft)

V=64 ft³

2) A vertical post of 2 ft × 6 ft at the left side with a horizontal protrusion of 10 ft × 2 ft from its bottom.

The frontal area calculated this way is:

(2 ft)(6 ft) +(10 ft)(2 ft) = 12 ft² +20 ft² = 32 ft²

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

3) A 6 ft × 12 ft rectangle with a 4 ft × 10 ft cutout from the upper right corner. The area calculated this way is

(6 ft)(12 ft) -(4 ft)(10 ft) = 72 ft² -40 ft² = 32 ft² . . . . . same as above

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

V=64 ft³.

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