Using the following list of data, which statement is true?

The solution is Option A.

The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shortest distance be represented as X

Let the first triangle be the first face of the rectangular box ΔABC

The length of the triangle AB = 3 cm

The height of the triangle BC = 2 cm

Now ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The measure of AC = √ ( 3² + 2² )

The measure of AC = √13 cm

And , the second triangle is the second face of the rectangular box ΔDEF

The length of the triangle DE = 4 cm

The height of the triangle EF = 2 cm

The measure of DF = √ ( 4² + 2² )

The measure of DF = √18 cm

Now , the shortest distance X = The measure of AC  + measure of DF

Substituting the values in the equation , we get

The shortest distance X = √13 cm + √18 cm

The shortest distance X = 3.60 + 4.24

The shortest distance X = 7.8 cm

Therefore , the value of A is 7.8 cm

Hence , the shortest distance for the ant is 7.8 cm

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The other number is 4/5

Step-by-step explanation:

let the number be x

if one of the numbers is -14/5

The sum of two rational numbers is -2.

Here, we get the equation

x + (-14/5) = -2

x - 14/5 = -2

x = 14/5 - 2

x = 14 - 2 × 5 ÷ 5

x = 14 - 10 ÷ 5

x = 4/5

Thus, The other number is 4/5

x + (-14/5) = -2

4/5 + (-14/5) = -2

4/5 - 14/5 = -2

4 - 14/5 = -2

-10/5 = -2

-2 = -2

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

56          42               98

3             7                 10

59           49              108

Step-by-step explanation:

108 people responded to the survey

Answer:

Sam's team scored 20 points. Ben's team scored 60 points

Step-by-step explanation:

b = 3s

s + b = 80

Substitute

s + 3s = 80

4s = 80

s = 20

Answer:

To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.

In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.

Step-by-step explanation:

9514 1404 393

Answer:

  dependent

Step-by-step explanation:

The percentage of males depends on whether they attend the concert. The events are dependent.

If the events were independent, the percentage would remain the same regardless of concert attendance.

As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

The formula is presented as

k(x) = x² + 9

The aforementioned equation is linear.

 the range is (-∝, ∝) and the domain is(-∝, ∝) 

Formula 2

The formula is presented as

y = (x + 5)² +3

The aforementioned equation is linear.

The range is (-∝, ∝), and the domain is (-∝, ∝).

As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).

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Answer: Reflection of the x axis.

Step-by-step explanation: This didn't rotate because the coordinates were reflected this isn't a translation because you didn't translate anything. Reflection, the coordinates are just still the same distance from the other coordinates.

Answer:

no f-ing clue

Step-by-step explanation:

Answer:

(8, -2)

Step-by-step explanation:

Given:

[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]

[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.

When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:

Therefore:

[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]

Answer: Hi Your question lacks some information but i will give you a general solution with similar data found online

answer

a) 15.15%

b) The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Step-by-step explanation:

Using The probit regression

from the attached question ;

for smoking

1 = smokes , 0 = do not smoke

For Independent variable

1 = ban at workplace ,  0 = not ban at workplace.

sex :  male = 0 , female = 1

a) Assuming Mr. A is not subject to a workplace smoking ban

P ( Mr. A  smokes ) = 15.15%

b) Assuming Mr. A is subject to a workplace smoking ban

determine effect  on P ( Mr. A smokes )

The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Answer:

Step-by-step explanation:

Bbb

9514 1404 393

Answer:

  A. no solution

Step-by-step explanation:

The solution is found where the lines meet. Parallel lines never meet, so there is no solution.

Answer: 0.07666666666666666666666666666667.

Step-by-step explanation: Divide 75 from 5.75. You earn 7 seconds every hour.

Answer:

0.0766666666666667 (you can round it however you want)

Step-by-step explanation:

5.75 ⇒ 75

     ? ⇒ 1

5.75 × 1 = 5.75

5.75 ÷ 75 = 0.0766666666666667

= 0.08

Answer:

Step-by-step explanation:

Since,

Any number if divided by hundred then that no. is known as a percentage.

Here,

80 is divided by 100 i. e.

80 / 100

= 80% (Ans)

Answer:

Step-by-step explanation:

Write the problem as a mathematical expression.

Convert to decimal.

Multiply 0.8 by 100 to convert to a percentage.

The  linear function is a straight line graph . Consequently, the third graph shows a linear function.

When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. To show the relationship between two quantities, a linear graph is a straight line graph. This graph is useful for showing a result as a series of simple straight lines. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc. Plot coordinates at positions where x and y are identical in order to draw the line y = x. More points can be plotted even though three are plenty.

given

A linear function has a graph that is a straight line. A nonlinear function, then, has a graph that is not a straight line.

Something like y equals x cubed or y equals e to the power of x is an illustration of this. Furthermore, if we look closely at our graph, we can see that the line is not vertical.

The graph of a linear function is a straight line. Consequently, the third graph shows a linear function.

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For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.

domain : (x | x [tex]\geq[/tex] 3/2)

range : (-∞ , 2)

For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between  (-∞ , 2).

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Answer:

y = 3x² + 5x + 1

x = -b±√b²-4ac/2a

a = 3, b = 5 c = 1

x = -5±√5²-4(3)(1)/2(3)

x = -5±√25-12/6

x = -5±√13/6

The number that belongs in the green box is -5.

Given:

Quadratic equation y = 3x² + 5x + 1 into the quadratic formula,

which is [tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex], determine the values of a, b, and c from the given equation.

Comparing the equation y = 3x² + 5x + 1 with the standard quadratic form y = ax² + bx + c

a = 3

b = 5

c = 1

Now, substitute these values into the quadratic formula:

x = (-(5) ± √((5)² - 4(3)(1))) / (2(3))

x = (-5 ± √(25 - 12)) / (6)

x = (-5 ± √(13)) / 6

Therefore, the quadratic equation y = 3x² + 5x + 1 can be expressed in the quadratic formula as: x = (-5 ± √(13)) / 6

Thus, the number is -5.

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Answer:

  (b)  No solution

Step-by-step explanation:

You want the solution to 0.5(-2+ 4d) - 2d = -13.

Eliminating the parentheses using the distributive property, we have ...

  -1 +2d -2d = -13

Collecting terms gives ...

  -1 = -13 . . . . . false

No value of d will make this true. There is No Solution.

Answer: -2, -3, and -4.

Step-by-step explanation:

The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]

And the population standard deviation is:

[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]

The mean absolute deviation is:

[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]

And the population standard deviation is:

[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]

Answer:

Step-by-step explanation:

Answer:

973.45 mi²

Step-by-step explanation:

area of a sector

a = (∅/360) * πr²

a = (309/360) * π(19)²

a = 973.4486636536

Rounded

a = 973.45 mi²

Answer:

For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Step-by-step explanation:

It looks like you are trying to find the value of two different functions at specific points.

For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.

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Work Shown:

75+54m

75+54*10

75+540

615

Answer:

[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]

Max made 50 sandwiches

On solving the provided question, we can say that 50 will therefore be the missing number in the odd numbers 2 5 10 x 2637.

A number that is odd is one that can't be partitioned flawlessly into matches. One remains after dividing an odd number by two. The numbers 1, 3, 5, 7, 9, 11, 13, and 15 are consecutively odd. While odd numbers cannot be divided in half, even numbers can. 3, 5, 7, 9, 11, 13, and 15 are unusual cases. Even numbers include 2, 4, 6, 8, 10, 12, and 14.

According to the given question:

Following the numbers 3, 5, 7, 9, 11, and 13, which are all odd numbers, the provided series moves on to 13.

Therefore,

After 37, there will be a break before 50.

50 will therefore be the missing number.

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On solving the provided question, we can say that in this function f(x) = /16/1224 x^2 + 7x/5 + 1.5 = > f(2) = 2234.2454

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

in this function

f(x) = /16/1224 x^2 + 7x/5 + 1.5

f(2) = 2234.2454

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Answer:

7. x = 37.5

8. x = 8

Step-by-step explanation:

7. The sides of the triangles are proportional, therefore:

x/20 = (46 - 16)/16

x/20 = 30/16

Cross multiply

x*16 = 30*20

16x = 600

Divide both sides by 16

x = 600/16

x = 37.5

8. The sides of the triangles are proportional. Therefore,

(7x - 1)/22 = (3x + 1)/10

Cross multiply

10(7x - 1) = 22(3x + 1)

70x - 10 = 66x + 22

Collect like terms

70x - 66x = 10 + 22

4x = 32

4x/4 = 32/4

x = 8

Answer:

D. 10r7

Explaination:

9 goes into 97 10 times, and has a remainder of 7