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Arlecino [84]
3 years ago
5

A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool

is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?
Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Just divide

1944/216=9

9 feet deep

Hope this helps

Step-by-step explanation:

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A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
10 POINTS Solve for x.<br> 6x + 1 = 4x + 7<br><br> x = 6<br> x = 2<br> x = 3
mafiozo [28]

Answer:

x = 3

Step-by-step explanation:

7 0
3 years ago
jeffrey purchased a card for $180 that gives him 20 visits to a new gym and includes a one-time fee for unlimited use of the sau
yawa3891 [41]

There is many ways to do this but i did it this way.

180-123.75= 56.25

56.25/5=11.25

=11.25

7 0
4 years ago
Read 2 more answers
What is the value of x? show work
Alona [7]
2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71 

The unknown angles are each 71

You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same
7 0
4 years ago
Jebb is the tallest player on his basketball team. He is 1 1/2 times as tall as the shortest girl in sixth grade, who is 4 1/4 f
skelet666 [1.2K]

Answer:

51/8 or 6 3/8 (depending on if you need to simplify or not)

 Step-by-step explanation:

Since the girl is 4.25 feet tall, you would multiply that by 1.5 which would get you 6.375 then, you convert to a fraction. The fraction would be 51/8 which would be equivalent to 6 3/8. So, Jebb is 6 3/8 feet tall.


Hope this helped! :)


8 0
4 years ago
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