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2 years ago

a flower bed has the shape of a rectangle 24 feet long and 9 feet wide what is its area in square yards

Mathematics

1 answer:

const2013 [10]2 years ago

8 0

Answer:

Step-by-step explanation:

24 x 9 = 216

your final answer is 216

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Which of the following expressions are equivalent to -45+12

meriva

Answer:

-45 + 12 is equal to -33

and <u>Choice A </u> is also equal to -33.

Step-by-step explanation:

7 0

2 years ago

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

A business with two locations buys seven large delivery trucks and five small delivery trucks. Location A receives three large t

tekilochka [14]

Answer:

cost of large delivery truck = $60,000

cost of small delivery truck = $45,000

Step-by-step explanation:

let,

the cost of large delivery truck = 'x'

the cost of small delivery truck = 'y'

Now, according to the question,

3x + 2y = 270000

4x + 3y = 375000

By solving the above 2 equation , we get;

x = 60000

y = 45000

3 0

2 years ago

The difference between 22 and x

lukranit [14]

Answer:

22-x

Step-by-step explanation:

you dont know what x is, so you would just do 22-x

3 0

2 years ago

May someone please help with the way please

Oksana_A [137]

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

$\frac{4}{x}$ = $\frac{9}{x+22}$ ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

5 0

2 years ago