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Andreas93 [3]
3 years ago
8

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

d with water to 6 inches from the top of the pool, what is the volume to the nearest cubic foot or their water in the pool
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

r=18/2=9\ ft ----> the radius is half the diameter

Remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

h=4.5-0.5=4\ ft

assume

\pi =3.14

Find the volume of the water

V=(3.14)(9^{2})(4)

V=1,017\ ft^3

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There are 56 workers during each shift. The workers are split into teams of 14 each. How many work during a shift?​
Over [174]

Answer:

4 teams

Step-by-step explanation:

To evenly distribute 14 into 56, you divide. 56/14 is 4.

Therefore the correct answer is 4 teams.

Hope I helped!!!

5 0
3 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
olga55 [171]

Answer:

x=44, They are adjacent

Step-by-step explanation:

since this is right angle it is 90 degrees. You set the whole thing equal to 90, so 43+x+3=90, add 43 and 3=46. Then you subtract 90-46, you get x=44.  

6 0
3 years ago
Find the arc length of the partial circle. <br>length is 1.<br>**See attached photo**<br>​
KatRina [158]

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)

                 $=2 \times 3.14  \times 1\left(\frac{90^\circ}{360^\circ}\right)

                $=2 \times 3.14  \times 1\left(\frac{1}{4}\right)

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

5 0
3 years ago
Which number makes this sentence true? 32:40=48:x
Sav [38]

Answer:

x=60

Step-by-step explanation:

divid the numbers

multiply all terms by the same value to eliminate fraction denominator

simplify

4 0
3 years ago
You roll a 6-sided die.<br>What is P(prime)?<br>Write your answer as a percentage.<br>Submit​
Cloud [144]

You roll a 6-sided die. The probability of getting prime is 50%.

<u>Solution:</u>

Given, that we have rolled a 6 – sided die.

We have to find the P(prime) as percentage.

Now, It means that we have to find the probability of getting a prime number on the face.

On rolling a six sided die, the total possible outcomes are 1, 2, 3, 4, 5, 6

Number of possible outcomes = 6

We have to get a prime number on rolling a die

The prime numbers in possible outcomes are 2, 3, 5

So number of favorable outcomes = 3

\text {Probability of an event as percentage }=\frac{\text { favourable number of outcomes }}{\text { total number of outcomes }} \times 100

\text {Probability of getting prime number on face of die }=\frac{3}{6} \times 100

\begin{array}{l}{\text { P(prime) }=\frac{1}{2} \times 100} \\\\ {\text { P(prime) }=50 \%}\end{array}

Hence, probability of getting prime is 50%.

3 0
3 years ago
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