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2 years ago

Choose the solution set represented by the following graph

Mathematics

1 answer:

Juliette [100K]2 years ago

7 0

The answer to the question is the first one

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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

Where the graphs of supply and demand functions intersect the market is in equilibrium

Setler [38]

Yes because i took this in economics class

5 0

3 years ago

A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop

Anton [14]

One laptop costs 32,750.

He bought 5 laptops.

So, 5 x 32,750 = 163,750.

Let d = cost of one desktop.

163,750 + d = 229,600.

Solve for d to find your answer.

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3 years ago

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

Vikentia [17]

Answer:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.

here you go

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2 years ago

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Mary had a 3-inch piece of ribbon. She cut it in half. How long were they new pieces

allochka39001 [22]

Answer:

1 and a half inches long

Because that 3 divided by 2 is 1.5.

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3 years ago

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