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Marina86 [1]
3 years ago
14

The circular play area has a diameter of 16 feet. There is a walkway that surrounds the play area and is 3 feet wide. What is th

e area of the walkway? Round your answer to the nearest whole foot?
Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

Read more on Brainly.com - brainly.com/question/11852368#readmore

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Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
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a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

And then take the square root of 109 to get the hypotenuse.

<span>10.4403065089 = c
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Since we need to round to the nearest hundredth, though, it would be 10.44



I hope that helps! Feel free to let me know if you have any questions!

- mathwizzard3
6 0
3 years ago
Select all the true statements.
fiasKO [112]

Answer:

C and D are are the true statements

3 0
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If you know this please help me out!!
-Dominant- [34]

Answer:

e b

Step-by-step explanation:

8 0
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Read 2 more answers
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
ycow [4]

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

Male = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Male = 9C3

Male = \frac{9!}{3!(9-3)!}

Male = \frac{9!}{3!(6)!}

Male = \frac{9 * 8 * 7 * 6!}{3!6!}

Male = \frac{9 * 8 * 7}{3!}

Male = \frac{9 * 8 * 7}{3*2*1}

Male = 84 ways

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

Female = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Female = 7C2

Female = \frac{7!}{2!(7-2)!}}

Female = \frac{7!}{2!(5)!}

Female = \frac{7 * 6 * 5!}{2!5!}

Female = \frac{7 * 6}{2!}

Female = \frac{42}{2*1}

Female = 21 ways

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

Total = 84 * 21

Total = 1764 ways

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