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mr Goodwill [35]
3 years ago
15

An oblique cylinder has a radius of 10 meters and a volume of 2,500 cubic meters. Use Cavalieri’s Principle to solve for the hei

ght of the solid. 5 meters 25 meters 50 meters 250 meters
Mathematics
1 answer:
shusha [124]3 years ago
4 0
The idea of the Cavalieri's Principle states that even if the cylinder is oblique, so long as the planes in the figure are parallel, the equation would still be equal to,
                               V = Bh = πr²h
Substituting,
                               2,500 = π(10 m)²h
                                     h = 7.95 m
The answer should be 5 meters. 









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Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select
icang [17]

Answer:

F) The rates are not equivalent.

Step-by-step explanation:

Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question.

We find the unit rates

a) 45 mile in 8 minutes , we find the unit rate in miles per minute

8 minutes = 45 miles

1 minute = x

8 × x = 45 miles × 1 minute

x = 45 miles/8 minutes

x = 5.625 miles/ minute

b) 4 minutes to travel 25 miles. Find the unit rate is minutes per mile

25 miles = 4 minutes

1 mile = x

25miles × x = 4 minutes × 1

x = 4 minutes/25 miles

x = 0.16 minutes/mile

Hence, the correct option is

F) The rates are not equivalent.

7 0
3 years ago
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Answer:

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Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)
Tcecarenko [31]

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

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5 = b

Your new equation is...

y = -2x + 5

6 0
2 years ago
Please answer both questions and Show Work... I will mark you brainliest and give you five starts
netineya [11]

Answer:

Step-by-step explanation:

For each problem you need to make sure that the angles are the same.

So x + 22 = 90

x = 90 -22 = 68 degree

For the second problem

7x + 10 = 8x

10 = 8x -7x

x = 10 degree

7 0
3 years ago
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