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3 years ago

Select the correct answer.

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

When ever a problem gives information about parallel lines, look for Alternate Interior angles.

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What is the volume of a hemisphere with a radius of 30.8 cm, rounded to the nearest tenth of a cubic centimeter?

den301095 [7]

61194.2707cm³
I suck at rounding so this is the answer not rounded

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3 years ago

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

The value of y varies directly as x and y is 9 when x is -3 what constant of variation k?

Lady bird [3.3K]

Y/x=k

when y=9, then x= -3
9/-3=-3
⇒ k= -3

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2 years ago

Simplify 2-1 + 5* 4 + 11

kozerog [31]

Answer:32

Step-by-step explanation:firs we multiply 5*4 =20 .then we subtract 2-1=1 add those numbers 20+1=21 and then add 11 which equals 32

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3 years ago

T.j. gave 16 books to the library book sale. this was 1/3 of his books. how many books did t.j. have?

madreJ [45]

(1/3)x =16 (x represents the total number of books he has)
x=48

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3 years ago