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lozanna [386]
2 years ago
7

How do you do this question?

Mathematics
1 answer:
solniwko [45]2 years ago
3 0

Answer:

V=864π/5

The 2nd shaded picture matches our volume. And the 1st 3D picture maps the volume once rotated.

Step-by-step explanation:

The idea is that you're revolving the graph around an axis and getting a would-be solid objective. Think of it as finding the volume of a cylinder but instead of straight edges going up the height, the height follows a portion of a graph. We take the area of the circle with a variable radius and plug it into the integral:

∫πr²dy/dx

You need to know what axis you're revolving around, determine the radius of the shape, then your height which will determine variable you're integrating with respect to.

  • Your axis of revolution is the y axis.
  • The radius here is going to be the distance from the axis of revolution to some arbitrary point on the curve, which is simply x.
  • Your height is going to be some small y distance, so dy is what we're integrating w/r to and we're told to go from 0 to 6.

So with that we plug in the r and simplify as needed before integrating to get the answer.

My work is in the attachment. Comment with any questions.

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Explain why a regular polygon cannot have an interior angle that is 40°.
Minchanka [31]

Answer:

Explained below.

Step-by-step explanation:

The formula for the interior angle of any regular polygon is given as;

Interior Angle = 180(n - 2)/n

Where n is number of sides

We are told the interior angle is 40°

Thus;

180(n - 2)/n = 40

Cross multiply to get;

180n - 360 = 40n

180n - 40n = 360

140n = 360

n = 360/140

n = 2.57

Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.

Thus, a shape with interior angle of 40 cannot be a polygon.

8 0
2 years ago
Which property does this math equation represent? <br><br> 14 + 0 = 14
Mazyrski [523]

Answer:

Hmmmmmmmmm, is it an addition? I think it's dividing (It's addition I was playing around)

Step-by-step explanation:

4 0
2 years ago
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PLEASE HELP ASAP!!!! IT WILL BE DEEPLY APRECIATED AND NO LINKS PLEASE
mart [117]

Answer: Parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

6 0
3 years ago
Write the ratio of thirteen-year-olds to fourteen-year-olds in all three forms.
ludmilkaskok [199]

Answer:

13:14

13 to 14

13/14

Step-by-step explanation:

there are three ways to write ratios, with a colon ( : ), with the word "to", and as a fraction 13/14. ❤

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kozerog [31]

Answer:

They are a system of equations?

Step-by-step explanation:

Not sure if this is what you are asking

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