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2 years ago

I need help please urgent

Mathematics

1 answer:

Vanyuwa [196]2 years ago

6 0

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

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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

Jovita Alvarez obtained a personal loan of $3000 at 14% for 24 months. The monthly payment is $144 the balance of the loan after

xxTIMURxx [149]

Ooo this is hard, I got a little confused

4 0

2 years ago

Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting,

ololo11 [35]

Answer:

Option A. 65 trees

Step-by-step explanation:

From the question given:

50 trees was in the forest. Then 23 of them were cut down.

The remaining trees = 50 — 23 = 27 trees.

Now 38 new trees were plant.

Total trees after cutting and planting = 27 + 38 = 65 trees

8 0

3 years ago

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Un dia en uno de los pizarrones de la escuela a Divide el pizarrón en cuatro partes iguales, de modo que en cada una quede un 1

tekilochka [14]

Answer:

Translation: One day on one of the school blackboards a Divide the blackboard into four equal parts, so that each one has a 1, a 2, a 3 and a 4

Step-by-step explanation:

So what am I answering here?

8 0

2 years ago

-2-5(4n-6)=-132 not really sure how to do this one ..

uranmaximum [27]

All you have to do is follow PEMDAS (if you don't know what that is, search it up).

-2-5(4n-6)=-132

Distribute the 5 to everything in the parentheses.

-2-20n+30= -132

Combine like terms.

-20n+28 = -132

Subtract 28 from both sides.

-20n = -160

Divide by -20 on both sides.

n = 8

8 0

3 years ago

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