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Luden [163]
3 years ago
5

PLEASE HELP!!!!!

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

The system equation:

\left \{ {{0,25x+0.10y=2.40} \atop {x+y=12}} \right.

Step-by-step explanation:

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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
The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height
tensa zangetsu [6.8K]

Answer:

a) 10:13:3

b) 258 cm

Step-by-step explanation:

The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height is 456 cm.

a) Find the ratio of elena's height to pavani's height to kamir's height in its simplest form.

10:13:3

b) What is pavani's height?

The ratio of elena's height to pavai's height is 10:13.

Their total height is 456 cm

Sum of proportions = 10 + 13 = 23

Hence:

13/23 × 456 cm

= 257.73913043 cm

Approximately = 258 cm

3 0
3 years ago
PLZ HELP ME. I am learning slope.
Rom4ik [11]

Answer:

-0.125x + 12.5

Step-by-step explanation:

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