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Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft . use 3.14 for π as necessary.

aivan3 [116]

The area of the shaded region in the given image is: 1,111.84 ft²

<h3>How to Find the Area of a Shaded Region?</h3>

To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.

Area of the total figure = area of two semicircles + area of the rectangle.

Dimensions of the rectangle is given as, 18ft x 22ft.

Area of the rectangle = 18ft × 22ft = 396 ft²

The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft

The radius of each of the semicircle = 1/2(32) = 16 ft

Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)

Area of the two semicircles = 803.84 ft²

Area of the rectangle = 32 × 22 = 704 ft²

The total area = 704 + 803.84

The total area = 1,507.84 ft²

The area of the shaded region = 1,507.84 - 396

The area of the shaded region = 1,111.84 ft²

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8 0

2 years ago

How do i rewrite 9(3+7)

xz_007 [3.2K]

Answer:

like so 9(7+3)

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.

jonny [76]

Answer:

The cost of 1 squash = $0. 18

The coat if 1 zucchini = $ 0.21

Step-by-step explanation:

Here,Let us assume the cost of 1 squash = $ m

Cost of 1 zucchini = $ n

Now, the cost of 5 squash = 5 x ( cost of 1 squash) = 5 x ($ m) = 5 m

Now, the cost of 2 zucchini = 2 x ( cost of 1 zucchini) = 2 x ($ n) = 2 n

So, the total cost of 5 squash and 2 zucchini = Cost of (5 squash + 2 zucchini)

⇒ $ 1. 32 = 5 m + 2 n ........ (1)

Similarly,

The cost of 3 squash = 3 x ( cost of 1 squash) = 3 x ($ m) = 3 m

And, the cost of 1 zucchini = $ n

So, the total cost of 3 squash and 1 zucchini = Cost of (3 squash + 1 zucchini)

⇒ $ 0. 75 = 3 m + n ........ (2)

or, n = 0.75 - 3 m

Substitute this value in (1) , we get

1. 32 = 5 m + 2 n ⇒ 1.32 = 5 m + 2 (0.75 - 3 m)

or, 1. 32 = 5 m + 2(0.75) - 2(3 m)

or, 1 . 32 = 5 m + 1.5 - 6m

⇒ m = 1. 5 - 1. 32 = 0.18

or, m = 0. 18

So, the cost of 1 squash = $0. 18

And,the cost of 1 zucchini = n = 0.75 - 3 m = 0.75 - 3 (0.18) = 0.21

or, the cost if 1 zucchini = $ 0.21

5 0

3 years ago

the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1

mixas84 [53]

$\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}$

Since this can't happen, let's suppose that P=150, then:

$\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}$

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

$\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}$

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

$\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}$

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

6 0

2 years ago

n a newspaper, it was reported that yearly robberies in Springfield were down 20% to 176 in 2011 from 2010. How many robberies w

Ede4ka [16]

Answer: There were 220 robberies in Springfield in 2010

Step-by-step explanation: If the robberies were reported to be down 20% and the new figure is 176, it simply means the figure 176 depicts 80% (or 0.8) of the figure from year 2010.

We shall take the figure in year 2010 as x, which is 100% (or 1.0) and year 2011 is 176 which is 80% (or 0.8). What we now have is;

176/x = 0.8

176/x = 4/5

By cross multiplication we now have;

(176 x 5)/4 = x

880/4 = x

220 = x

Therefore, there were 220 robberies in Springfield in 2010

3 0

3 years ago

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