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3 years ago

Circle the correct term to complete each sentence.

Mathematics

2 answers:

dusya [7]3 years ago

8 0

Answer:

10. Ounces

11. weight

12. Pounds

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago

3 0

Hello there!

10. The unit of measurement that would be most appropriate to measure a paper clip's weight is in (ounces).

11. The type of measurement that is used to measure how heavy an object is called (weight).

12. The unit of measurement that would be the most appropriate to measure the weight of a flour bag is in (pounds).

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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

How do you solve y=3x+5

guajiro [1.7K]

It depends how you want to solve it
you can plug it in on a calculator and It will show you how the equation looks on a graph( need graphing calculator).

6 0

3 years ago

Only need help with #'s 10, 12, 14, 16

gregori [183]

Im just about to work one out for you and you just do the same on the rest

7 0

3 years ago

What is the measure of the indicated angle? 180° 6° 84° 96°

sleet_krkn [62]

Answer:

84°

Step-by-step explanation: