Rotate the figure 90 deg clockwise. It's asking for all like the prime points as well.

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperso

serg [7]

Using variable concepts, of dependent and independent variables, it is found that the dependent variable is the amount of sales dollars earned.

<h3>What is the relation between a function and the dependent and independent variables?</h3>

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, <u>x is the independent variable and y is the dependent variable</u>.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the manager believes that the amount of sales dollars earned is a function of the number of contacts that the salesperson makes, hence:

The number of contacts is the independent variable.

The amount of sales dollars earned is the dependent variable.

More can be learned about dependent and independent variables at brainly.com/question/1429012

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6 0

2 years ago

A round mirror has a circumference of 87.92 inches. Calculate the area of the mirror.

Zarrin [17]

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=87.92 \end{cases}\implies 87.92=2\pi r\implies \cfrac{87.92}{2\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{7em}A=\pi \left( \boxed{\frac{87.92}{2\pi }} \right)^2 \\\\\\ A=\pi \cdot \cfrac{87.92^2}{4\pi^2}\implies A=\cfrac{87.92^2}{4\pi }\implies A\approx 615.127998$

6 0

3 years ago

A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl

worty [1.4K]

Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 = {-21±√441+1288}/2x1 = -21±√1729/2

-21+√1729/2 -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2 -21-√1729/2

{-21+41.5812457726}/2 {-21-41.5812457726}/2

20.5812457726/2 -62.5812457726/2

10.2906228863 -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

4 0

3 years ago

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The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIV

jolli1 [7]

The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

To learn more about rectangle pyramid, please check: brainly.com/question/9222686

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7 0

2 years ago

Which algebraic expression represents “twice the sum of y and 9”

tankabanditka [31]

To answer this question we will have to keep the following two points in mind:

#1. The <u>sum</u> of a number with another number means to <u>add </u>the given two numbers.

#2.<u> Twice</u> means to <u>multiply by 2.</u> In other words it means to double.

Therefore, "twice the sum" would mean to multiply the sum by 2.

Now, in our question we will have, "the sum of y and 9 would be: $y+9$ and twice this sum would be: $2(y+9)$

Thus, "twice the sum of y and 9" is: $2(y+9)$

3 0

3 years ago

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