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3 years ago

What is the area of the kite? 6 ft 14 ft

Mathematics

1 answer:

Dovator [93]3 years ago

4 0

Answer:

Step-by-step explanation:

if these are diagonals ,then

area=(product of diagonals)/2

=(6*14)/2=42 ft²

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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

Please ASAP.<br> Find the value of u.

shusha [124]

Answer:

The answer is B 62

Step-by-step explanation:

I just divid 124 by 2

5 0

3 years ago

Write the solution to the given inequality in interval notation.

Vikentia [17]

Answer:

The answer should be C.

7 0

3 years ago

Can anyone please help me determine the slope of the line in the graph.

juin [17]

Answer:

slope = 2

Step-by-step explanation:

To find the slope, we need to read 2 points off the graph.

Where the line crosses the y-axis, the point is (0, 2.5).

The next point up on the line looks like (1, 4.5).

slope = m = (difference in y)/(difference in x)

To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.

difference in y = 4.5 - 2.5 = 2

difference in x = 1 - 0

slope = m = (difference in y)/(difference in x) = 2/1 = 2

6 0

3 years ago

hey guys! please give an easy explanation on how to do this once you find the answer so I can try doing it myself! thank you :)

Svet_ta [14]

Answer:

i think its d :both a and b

Step-by-step explanation:

i think

5 0

3 years ago