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3 years ago

What is the degree measure of five thirds of a right angle

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

6 0

$\displaystyle \\ 
 \frac{5}{3} \times 90^o = \frac{5\times 90^o}{3}= 5\times 30^o = \boxed{150^o}$

vagabundo [1.1K]3 years ago

5 0

It would be: 5/3 * 90 = 150 degrees.........

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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

During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?

Novosadov [1.4K]

So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)

6 0

3 years ago

The difference of 44 and the square of n into a expression

Otrada [13]

Answer:

$44-\sqrt{n}$

7 0

3 years ago

I need help please I don’t get it

Aliun [14]

Answer: left 9 and up 6

Step-by-step explanation:

just if it’s in the bars it’s left if + and on the outside its up if +

3 0

3 years ago

A system of two linear inequalities is graphed as shown, where the solution region is shaded.

Zinaida [17]

Answer:

(-3,2) is located in the solution region.

Step-by-step explanation:

3 0

3 years ago