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tigry1 [53]
4 years ago
8

An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per second. The pyramid, at the top, h

as the shape of a square with sides of length 8 cm, and the height is 15 cm. Find the rate at which the water level is rising when the water level is 3 cm.

Mathematics
2 answers:
Ipatiy [6.2K]4 years ago
7 0

Answer:

19.53125 cm/s

Step-by-step explanation:

h : s

15 : 8

s/h = 8/15

s = 8h/15

V = ⅓×s²×h

V = ⅓(8h/15)²×h = 64h³/675

dV/dh = 64h²/225

At h=3,

dV/dh = 64(3²)/225 = 64/25

dh/dV = 25/64

dV/dt = 50

dh/dt = dh/dV × dV/dt

= 25/64 × 50

= 19.53125 cm/s

klio [65]4 years ago
3 0

Step-by-step explanation:

Below is an attachment containing the solution.

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If an item you own is damaged or stolen, insurance will give you money to replace it.
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An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?
Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

<u>Given the following data:</u>

  • Cost of wrapping paper = $12.48.
  • Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

<u>Conversion:</u>

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

X = 8 \times 12

X = 96 inch

For price per inch:

Price = 12.48 \times 96

Price = $1,198.08

Read more on word problems here: brainly.com/question/13170908

3 0
3 years ago
91% of the students lost the bingo game.What percent of the students won the game?
Aleksandr [31]
9 percent won the game
5 0
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Please help me A.S.A.P.
Vikentia [17]

Answer:

700 Dollars

Step-by-step explanation:

The expression for solving this is I = prt

So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D

5 0
3 years ago
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Can someone please help me
Readme [11.4K]
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters


8 0
3 years ago
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