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bagirrra123 [75]
3 years ago
9

A cylindrical swimming pool has a diameter of 14 feet and a height of 5 feet. How many gallons of water can the pool contain? Ro

und your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
The volume of a cylinder is pi*height*radius^2 = pi*5*(14/2)^2 = 769.69 ft^3. To get the total gallons multiply 769.69 ft^3 by 7.5gal/ft^3 to get 5772.6765 gallons or 5773 gallons rounded to nearest whole number.
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A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
Pablo Picasso obtained a loan of $2,400 to install a new roof on his home. The interest rate is 12% and the monthly payment is $
victus00 [196]
If you do 2,400 x .12 you get 288
You then need to do 288 and divide it by 12 and you get 24.
Your answer should be A. $24.00
8 0
3 years ago
Please help me on these problems
lukranit [14]

Answer:

a=1 because 3x means 3 multiply 2 and it is substracted from 7 and 7-6 is 1

b=3

c=9

Step-by-step explanation:

hope you will understand from the explanation of a

6 0
3 years ago
Find the product : 2p (4p² + 5p + 7)
Ber [7]
<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

6 0
3 years ago
One Solution<br>no solution <br>infinitely many solutions<br>3x + 9 + 4x + x =<br>_x+_​
ss7ja [257]
All you need to do it combine like terms.

3x + 9 + 4x + x

(3x + 4x + x) + 9

8x + 9

i hope this was helpful for you!
8 0
3 years ago
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