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Nadya [2.5K]
3 years ago
6

A rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48 and each cubic foot hose 7.5 gallons

how many gallons will it take to fill the lap pool
Mathematics
1 answer:
zmey [24]3 years ago
5 0

Answer: it will take 576000 gallons to fill the lap pool.

Step-by-step explanation:

The formula for determining the volume of water in the rectangular pool is expressed as

Volume = length × width × height

The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is

Volume = 80 × 20 × 48 = 76800 cubic feet

1 cubic foot = 7.5 gallons

76800 cubic feet = 76800 × 7.5 = 576000 gallons

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You are planning to make an open rectangular box from a 25​-in.-by-49​-in. piece of cardboard by cutting congruent squares from
Darya [45]

Answer:

The dimensions of the box are 38.48 x 14.48 x 5.26 in.

Step-by-step explanation:

We will have a piece of cardboard with squares of side x cut from the corners to make a open box.

The volume of the box can be written as:

V=A\cdot B\cdot x\\\\V=(49-2x)\cdot (25-2x)\cdot x\\\\V=x\cdot (4x^2-2x*(49+25)+49*25)\\\\V=4x^3-148x^2+1225x

To calculate the maximum volume, we derive and equal to zero

dV/dx=12x^2-296x+1225=0

We apply the quadratic equation to know the roots of the equation

x=\frac{-b\pm\sqrt{b^24ac}}{2a}\\\\x=\frac{296\pm\sqrt{296^2-4*12*1225}}{2*12}  =\frac{296\pm\sqrt{87616-58800}}{24}= \frac{296\pm\sqrt{28816}}{24}\\\\x=\frac{296\pm169.75}{24}= 12.333\pm7.073\\\\\\x_1=12.333+7.073=19.406\\\\x_2=12.333-7.073=5.26

The first solution is physically impossible, as the side that is cut would be bigger than 25.

So the real solution is for x=5.26 in.

Then, the dimensions of the box are:

A=49-2x=49-2*5.26=49-10.52=38.48\\\\B=25-2x=25-10.52=14.48

8 0
3 years ago
What are examples of the distributive property?
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Here is an example:

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Step-by-step explanation:


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3 years ago
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pav-90 [236]
24/100 simplified is 6/25
4 0
3 years ago
The initial cost to drill a well is $210000. the daily rate to operate the well is $500. The current selling price is $65 per ba
SVETLANKA909090 [29]

Hi there!

There is an initial cost of $210,000 (which you're just going to pay once)

Then it costs $500 per day to operate.

The number of days is represented by "x".


Your equation in function notation should look like this :

f(x) = 500x + 210,000


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
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