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OlgaM077 [116]
3 years ago
12

To divide the following equation how would we revise the problem? 7.82 divided by .25

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

Solution in photo

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
Points S, L, and P on this grid represent the locations of the school, the library, and the park
Vlad [161]

The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.

<h3>What is the length of any line on the graph?</h3>

The distance or length of any line on the graph,

D = √{(x₂ - x₁)² + (y₂ - y₁)²}

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance from school to the library is SL, therefore,

\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units

The distance from library to the park is LP, therefore,

\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units

Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).

Learn more about the Length of the line:

brainly.com/question/16904935

#SPJ1

4 0
1 year ago
Round each number to the nearest whole number.  What is the best estimate for the answer to 276.37 – 67.81?   A. 209   B. 208.6
pav-90 [236]
A.209


<span>276.37 – 67.81 = 208.56
The 5 in .56 means round up.
This means 208.56 will turn into 209.</span>
8 0
3 years ago
Read 2 more answers
Here is number of goals a hockey team scored in each 10 matches 3 4 3 2 5 3 5 6 2 4 find the median
marusya05 [52]

Answer:

3.5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her
stira [4]
The answer is -125+85= -40 because she is adding -125 by 85 which equals-40
4 0
2 years ago
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