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DaniilM [7]
3 years ago
7

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o

f the pool? Use 3.14 for Pi.
cylinder. height 4 feet. radius 14 feet

a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet

Mathematics
1 answer:
Dimas [21]3 years ago
8 0
Formula:
V= pi×radius square × height

Remember pi is 3.14
Height= 4 feet
Radius 14 feet

Plug in the numbers into the formula

3.14 × 14^ 2 × 4 = 2461.76 cubic feet

ANSWER: C. 2461.76
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Find 2 consecutive even numbers such that the sum of the
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Answer:

14,16

Step-by-step explanation:

Let x be the first even number.

Let y be the 2nd even number.

Given, y - x = 2 (Since they are 2 consecutive even numbers.)

rearranging the equation: y = x+2 (equation 1)

Also given,

y+2x=44\\ (equation 2)

Now we can substitute equation 1 into equation 2 to find x.

x+2+2x = 44\\3x+2 = 44\\3x = 44-2\\3x=42\\x = \frac{42}{3} \\x = 14

Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.

y = 14+2

= 16

Therefore the 2 numbers are 14 and 16.

6 0
2 years ago
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A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat
IrinaVladis [17]

Please refer the attached figure for better understanding of the solution

Here we are given that the angle of depression is 40°

And the height of the boat from the water is 25.17 ft

we need to find the length of the rope used which we can take as x

We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed

so we have

sin 40° = \frac{25.17}{x}

x=\frac{25.17}{sin 40}

x=\frac{25.17}{0.6427}

x= 39.16

Hence the length of the rope needed is 39.16 ft

3 0
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Which relationship is always correct for the angles m, n, and p of triangle ABC? n+p=m m+p=n m+p+n=180 degrees m+p+n= 90 degrees
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The measures of the angles in a triangle always add up to 180°, so the answer is: m+p+n=180°.
5 0
3 years ago
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Serenity picked 75% of the apples of a tree in her backyard. If she picked 30 apples, how many apples were on the tree to begin
Stells [14]

Given:

Serenity picked 75% of the apples of a tree in her backyard.

She picked 30 apples.

To find:

The number of apples on the tree in the beginning.

Solution:

Let x be the number of apples on the tree in the beginning.

Serenity picked 75% of the apples of a tree in her backyard.

Number of apples picked = 75% of x

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Divide both sides by 3.

x=\dfrac{120}{3}

x=40

Therefore, the number of apples on the tree in the beginning is 40.

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