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3 years ago

Help me please that's problem number3 .help me

Mathematics

1 answer:

Firlakuza [10]3 years ago

5 0

A) Both walked 3.5 hours.

B) Hannah walked 3.5 x 3 = 10.5 miles.

For Hannah you multiplied her rate by the time to get total distance.

Penelope walked 7 miles, the black dot on the graph is at the 7 miles on the distance.

C) Hannah walked a faster rate, because she walked further in the same amount of time.

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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

3 years ago

9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live

qaws [65]

<h2>Answer: 90 rabbits</h2>

<h3>Step-by-step explanation:</h3>

you will need 10 for every 3 rabbits so if you count in tens and three's

3=10

6=20

9=30

and so on..

when you get to 27 you'll be at 90

27=90

hope u understand :>

8 0

2 years ago

What is the area of this composite figure?

anygoal [31]

Answer:

Well, Your answer will be is D. 100 feet squared. Because,

1. Multiply 10x6 and 10x4.

2. Add 60 and 40, the results from the previous step.

3. You get 100, or 100 feet squared. Good Luck!

3 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIST!!What is the measure of one interior angle in a regular pentagon?

never [62]

The answer is 108°

A regular pentagon has all its five sides equal and all five angles are also equal. Hence, the measure of each interior angle of a regular pentagon is given by the below formula. Measure of each interior angle = [(n – 2) × 180°]/n = 540°/5 = 108°.

8 0

2 years ago

Read 2 more answers

Helplsieedgoodgradeplspls

Lynna [10]

Answer:

He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6

Step-by-step explanation:

8·11= 88

11-5= 6

5 0

3 years ago