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lozanna [386]
3 years ago
12

Your friend’s swimming pool is in the shape of a rectangular prism , with a length of 25 feet , and a width of 8 feet, and the h

eight of 5 feet . A.) what is the volume of your friends swimming pool? B.)your swimming pool is in the shape of a cylinder with a diameter of 16 feet and had the same volume of your friend’s pool. What is the height of your pool ? Round your answer to your nearest whole number C.) while you were on vacation, 6 inches of water evaporated from your pool . About how many gallons of water evaporated from your pool? (1 ft x3 = 7.5 gallons)
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

a. 1,000

b. 4.976 rounded its 5

c. 1.25 gallons

Step-by-step explanation:

a. V = B x W x H

25 x 8 x 5 = 1,000

b. V = H x \pi x radius squared      

diameter = 16    radius = 1/2 the diameter       lets say \pi = 3.14

16/2=8     8 x 8 = 64     3.14 x 64 = 200.96

I forgot what its called but basically you do the equation backwards.    1,000 divided by 200.96 = 4.976  

check your work:   4.976 x 200.96 = 999.9 which rounded is 1,000

4.976 rounded is 5

c. assuming the equation is 1ft times 3 = 7.5 gallons

then 7.5 gallons divided by 3 = 1ft     7.5 / 3 = 2.5     2.5 = 1ft

1ft = 12inches  12in/2=6in  that means  2.5/2 = 6in   or   1.25 gallons = 6in

assuming the equation is 1ft x3 = 7.5gallons  and that x is the variable

I don't quite understand what to do and need more conext

I hope this helps at least a small bit

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Also need help with this problem too if anyone can help
aleksandrvk [35]

Answer:

A=24 sq ft

P=20 ft

Step-by-step explanation:

To make this easier, separate the triangle and the rectangle. To find the area of the triangle multiply the bases and the height and then divide the answer by. So,

(6x4)/2

(24)/2

A=12

The base of the triangle is the same as the base on the rectangle. To get the perimeter, add the 3 side values up.

5+5+6

P=16

For the rectangle, to get the area, just multiply the base value and the height value. So,

(6x2)

A=12

To get the perimeter, add all the side values up. So,

6+6+2+2

P=12

Add the 5 sides of the pentagon up for the perimeter.

5+5+2+2+6

P=20

And finally, add the area of the triangle and the rectangle to get the area of the pentagon.

12+12

A=24

4 0
3 years ago
Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest
Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

A=P\frac{(1+r)^{n}-1}{r}

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be 1800*160=\$288000.

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = 1179415.39-288000=\$891415.39

7 0
3 years ago
Read 2 more answers
Given: 9x > -36.
balu736 [363]
<h2>Greetings!</h2>

Answer:

{x | x > -4}

Step-by-step explanation:

The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.

Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:

\frac{9x}{9}  > \frac{-36}{9}

x > -4

So the solutuon set would be:

<h3>{x | x > -4}</h3>
<h2>Hope this helps!</h2>
8 0
2 years ago
Read 2 more answers
Given the speeds of each runner below, determine who runs the fastest.
lbvjy [14]

Answer:

Brooke runs the fastest.

3 0
2 years ago
Read 2 more answers
Which expression has a value of 17?
Ivahew [28]
The second choice is the answer
5 0
3 years ago
Read 2 more answers
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