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Harlamova29_29 [7]
4 years ago
12

a cylinder has a radius of 5 inches and the total volume of 175 pi cubic inches. what is the height of cylinder?​

Mathematics
1 answer:
DENIUS [597]4 years ago
5 0

Answer:

<h2>The height of cylinder = 7 inches</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have

r = 5 in

V = 175π in³

Substitute:

175\pi=\pi(5^2)(H)\\\\175\pi=25\pi H\qquad\text{divide both sides by }\ 25\pi\\\\\dfrac{175\pi}{25\pi}=\dfrac{25\pi H}{25\pi}\\\\7=H\to H=7\ in

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Area, A = Width, W* Height, H

Therefore,
W = A/H

Options:
At H = 4 ft, W = 60/4 = 15 ft
At H = 5 ft, W = 60/5 = 12 ft
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6 0
4 years ago
Solve the system of linear equations by graphing. y = –5/2x – 7 x + 2y = 4 What is the solution to the system of linear equation
muminat

ANSWER

(–4.5, 4.25)

EXPLANATION

The first equation is

y =  -  \frac{5}{2}x - 7

This function is in the slope-intercept form

The second equation is:

x + 2y = 4

2y =-x+ 4

y =  -  \frac{1}{2}x + 2

The graph of the two functions are shown in the attachment.

The point of intersection represents the solution to the system of equations they represent.

The solution is

(–4.5, 4.25)

4 0
3 years ago
How do I solve these?
Mnenie [13.5K]
6x+4=4x-2 subtract four x to get 2x+4=-2 and subtract 4 and get -6 and divide it by two to get -3
4 0
3 years ago
What about 0.09 is 1/10 of what?
Musya8 [376]

0.09 = (1/10) × what

Multiply both sides by 10.

0.90 = 10/10 × what

0.90 = what

_____

The first step is to write the relationship using mathematical symbols. (The math sentence follows the English sentence very closely, so that should not be trouble for you.)

The second step is to identify the coefficient of the variable (1/10) and then multiply both sides of the equation by its inverse (10/1). This leaves the variable multiplied by 1 and equated to the solution value.

0.09 is 1/10 of 0.90

_____

You can also recognize that 1/10 of something can be found by moving the decimal point one place to the left. That is, 1/10 of 12.34 is 1.234. This is a place-value thing.

Since 0.09 is 1/10 of something, it must have had its decimal point moved 1 place to the left. To find the original something, we move the decimal point back 1 place to the right: 0.9.

5 0
3 years ago
In the triangle ABC if angle A is 20 degrees, angle B is 35 degrees and the side between (side C) them is 100, what is the appro
docker41 [41]

Answer:length of side a is 42

Step-by-step explanation:

The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100

The sum of the angles in a triangle is 180 degrees. Therefore.

Angle A + angle B + angle C = 180. Therefore,

20 + 35 + angle C = 180

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Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as

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8 0
4 years ago
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