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lozanna [386]
4 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]4 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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snow_tiger [21]

-3 = x/-9

To make this easier, I'll put it in normal numbers

(-3 = x/-9) -1

3 = x/9

Multiply both sides by nine to take out the division.

27 = x

Hope that this helped!

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3 years ago
Owen received $100 for his birthday. He wants to spend 2/10 of his money on a video game. He wants to spend 55/100 of his money
Dafna11 [192]

Answer:

No, Owen wants to spend 105/100 of his money.

Step-by-step explanation:

HE wants to spend 2/10, 3/10, and 55/100 or 5.5/10, but if we add up all of the numbers we would get 10.5/10 meaning he would he 5  dollars short.

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3 years ago
The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
avanturin [10]

\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265

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3 years ago
The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.
solmaris [256]

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒x^{2}+5x-126=0

⇒x^{2}+14x-9x-126=0

⇒x(x+14)-9(x+14)=0

⇒x=-14, x=9.

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

To know more about the area of the rectangle visit:

brainly.com/question/20693059

#SPJ1

3 0
2 years ago
Giving 35 points.
Makovka662 [10]
Reflection over the y axis. Followed by a translation of 2 units down.
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3 years ago
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