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shtirl [24]
2 years ago
9

Sand will be placed under a circular pool with a diameter of 20 feet. The sand depth should be 2 inches. How many cubic feet of

sand are needed?
Mathematics
1 answer:
JulsSmile [24]2 years ago
7 0

you need 628 square feet of sand.

<h3>How many cubic feets of sand are needed?</h3>

Here we need to find the volume of the sand needed.

The volume filled with sand will be a cylinder of diameter of 20ft, and a height of 2 inches.

First, the radius is half of the diameter, then:

R = 20ft/2 =10ft

Remember that:

1ft= 12in

Then:

R = 10ft = 10*(12 in) = 120 in

And remember that the volume of a cylinder of radius R and height H is:

V  = pi*R^2*H

Where pi = 3.14

Then we have:

V = 3.14*(120 in)^2*2in = 90,432 in^2

To get that in feets, we need to divide by 12 squared, then:

90,432 in^2 = 90,432ft^2/(12^2)  = 628 ft^2

So you need 628 square feet of sand.

If you want to learn more about volumes:

brainly.com/question/1972490

#SPJ1

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galben [10]
46+19+54= 119, so the answer is 119
8 0
3 years ago
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Kevin works 3z hours each day from Monday to Friday. He works (4z-7) on Saturday. Kevin does not work on Sunday. Find the number
marta [7]
During a week:
Kevin works 3z during 5 days
kevin work (4z-7) during 1 day.
Kevin work 0 during 1 day.

z=unit time
f(z)= number of hours kevin works in one week.

f(z)=5(3z)+(4z-7)+0
f(z)=15z+4z-7
f(z)=19z-7

The number of hours kevin woirs in one week in terms of z is:
f(z)=19z-7
6 0
3 years ago
If a cube with a 5-in side length is sliced in half. What is the surface area of the two pieces?
nydimaria [60]

 Hello there!

1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.

Now that you have this information, you can now find the surface area by using this formula:

A= 2lw+2lh+2hw

Now plug in your values:

A=2(5)(2.5)+2(5)(5)+2(5)(2.5)

This would simplify to:

A=25+50+25

A=100 in squared

Therefore, the surface area of the two pieces are 100 inches squared.

2.) To start, first plug the measurements of the tank into the cylinder volume formula:

V=\pir^2h

V=\pi(2.75)^2(10)

V= 237.58 cubic feet

Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:

237.58/3.7= 64.2108...

Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.

:)

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7 0
4 years ago
Under certain conditions, the number of bacteria present in a colony is approximated by f(t) = Age 0.023t, where t is in minutes
AleksandrR [38]

Answer:

  • 5 min: 3,029,058
  • 10 min: 3,398,220
  • 60 min: 10,732,234

Step-by-step explanation:

The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).

__

<h3>5 minutes</h3>

The number of bacteria present after 5 minutes is about ...

  f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058

<h3>10 minutes</h3>

The number of bacteria present after 10 minutes is about ...

  f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220

<h3>60 minutes</h3>

The number of bacteria present after 60 minutes is about ...

  f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234

8 0
2 years ago
In this figure, AB ||CD and m&lt;1=135. What is m&lt;7
telo118 [61]

Answer:

135

Step-by-step explanation:

Angles 1 and 3 are vertical angles, so they are congruent.

Since angle 1 measures 135 deg, angle 3 also measures 135 deg.

Angles 3 and 7 are corresponding angles of parallel lines cut by a transversal, so they are congruent.

Since angle 3 measures 135 deg, angle 7 also measures 135 deg.

Answer: m<7 = 135 deg

4 0
3 years ago
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