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aleksklad [387]
3 years ago
13

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10

ft. The pool is 23.62 ft on each side. To the nearest square foot, the area of the pool that needs to be covered is ft2.
Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0

Correct Answer:

B. 960 ft^2

boyakko [2]3 years ago
3 0

Answer:

960.42\text{ ft}^2

Step-by-step explanation:

Please find the attachment.  

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

\text{Area of pentagon}=\frac{1}{2}a*p, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

\text{Perimeter of community pool}=5\times 23.62

\text{Perimeter of community pool}=118.1

Now let us find apothem of our pentagon by using Pythagoras theorem.  

a^2=20.10^2-11.81^2

a^2=404.01-139.4761

a^2=264.5339

a=\sqrt{264.5339}

a=16.2645

Upon substituting our given values in above formula we will get,

\text{Area of community pool}=\frac{1}{2}\times 16.2645\times 118.1

\text{Area of community pool}=8.13224907\times 118.1

\text{Area of community pool}=960.418615627971\approx 960.42

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

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Alex

Answer:

x = -8/3

Step-by-step explanation:

1/2x+3 = 2/3+1

Combine like terms

1/2x+3 = 2/3 + 3/3

1/2x + 3 = 5/3

Subtract 3 from each side

1/2x + 3-3 = 5/3 - 3

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1/2x = -4/3

Multiply each side by 2

1/2x *2 = -4/3*2

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7 0
2 years ago
A points lies on AB and is 3/4 the distance from A to B. Point A is located at (5, 4) and point B is located at (10, 12)
kirza4 [7]

Answer:

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Step-by-step explanation:

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2 years ago
Tessa’s employee benefits include family health care coverage. She contributes 18% of the cost. Tessa gets paid biweekly and $10
Salsk061 [2.6K]

The answer is $12792

Explanation:

It is known Tessa pays $108.00 to contribute to family coverage every two weeks and this represents 18% of the total payment. This implies the employer pays the 82% missing (100% - 18% = 82%). Additionally, with this information, it is possible to know the amount the employer has to pay every two weeks that represents 82%. The process is shown below:

1. Write the values you know and use x to represent the value you need to find

108 = 18        

  x =   82      

3. Cross multiply

x 18 = 8856

4. Find  the value of x by solving this simple equation

x = 8856 ÷ 18

x = 492 - Amount the employer pays every two weeks for Tessa's family coverage

Now that we know the money the employer pays every two weeks, it is possible to calculate the annual amount of money. Follow the process below.

1. Consider one year has a total of 52 weeks and divide this number of weeks by 2 because the payment for the family coverage occurs every 2 weeks

52 ÷ 2 = 26

2. Finally, multiply the money paid by the employer every two weeks by 26

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3 0
3 years ago
80 members decreased by 65%
LekaFEV [45]
Do a proportion
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Cross multiply and divide
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52 members left
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5 0
3 years ago
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aniked [119]
The answer:93.75

I think recommend calculators online I’m sure I’m a little off
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