8. Harper, Elie, and Raina are having a skateboard race. Harper began at the starting line and rode at a

What is the area of this composite shape? Enter your answer in the box. _in²

LuckyWell [14K]

The area of the composite figure is $40 in^2$

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle $(A_1)$ :

The formula is given by

$A_1=length\times width$

where $length = 5$ and $width = 5$

Substituting, we have,

$A_1=7\times 5=35 in^{2}$

Thus, the area of the rectangle = $35 i n^{2}$

Area of the triangle $(A_2)$ :

The formula is given by

$A_2=\frac{1}{2} bh$

where $b=5-3=2 i n$

and $h=12-7=5 \text { in }$

Substituting, we have,

$A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}$

Thus, the area of the triangle = $5in ^{2}$

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = $35 i n^{2}+5 i n^{2}=40 i n^{2}$

Thus, the area of the composite figure is $40 in^2$

3 0

3 years ago

Please help due today

Thepotemich [5.8K]

Answer:

answer 3:

They are proportion so just put equal sign and see if hey make sense.

Or you can realize that longer side of tringle for the 2 trangles are 10 and 5 and shorter side of triangle are 5 and 2.5 respectively

7 0

2 years ago

Read 2 more answers

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

$y = mx+b$

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0

3 years ago

3+x) 5 Solve it for me, and tell me how to do it EXPLANATION NEEDED

grigory [225]

I’m not too sure of what the equation is but I made a guess let me know if this was the right equation please I can redo it.

But, when solving this equation you are trying to find the value of x. To do that you have to get rid of the 3.

You would either add or subtract the 3 on both sides.

When the three is gone you should have somthing like

x = 5
- 3

Which you would move on to subtract the 5-3 and get 2.

x= 2

Here’s a picture of how I solved it

3 0

3 years ago

150% of what length is 66 cm

svet-max [94.6K]

let's say is "x", thus "x" is the 100%.

we know that 66 is 150%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 66&150\\ x&100 \end{array}\implies \cfrac{66}{x}=\cfrac{150}{100}\implies \cfrac{66}{x}=\cfrac{3}{2} \\\\\\ 132=3x\implies \cfrac{132}{3}=x\implies 44=x$

6 0

3 years ago