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lozanna [386]
3 years ago
7

How do you do this question?

Mathematics
1 answer:
solniwko [45]3 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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A triangular banner has an area 1500 square feet. Find the measures of the base and height of the triangle if the base is five-s
erastova [34]

Answer:

  • base: 50 ft
  • height: 60 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = (1/2)bh

Filling in the numbers you are given, you get ...

  1500 = (1/2)(5/6h)(h)

  3600 = h^2 . . . . . . . . . multiply by 12/5

  60 = h . . . . . . . . . . . . . .square root

  b = 5/6·60 = 50 . . . . . . base is 5/6 of height

The measures of the base and height are 50 ft and 60 ft, respectively.

4 0
3 years ago
The answer to this division problem
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What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.
Svetllana [295]

Answer:

The answer is

<h2>12.8 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

|BK|  =  \sqrt{ ({4 + 6})^{2}  +  ({6 + 2})^{2} }  \\  =  \sqrt{ {10}^{2} +  {8}^{2}  }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{100 + 64}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{164}  \\  = 2 \sqrt{41}  \\  = 12.80

We have the final answer as

<h3>12.8 to the nearest tenth</h3>

Hope this helps you

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Step-by-step explanation: BECAUSE IT MAKES ALOT OF SENSE AND UMM IM IN THE 7TH GRADED SO YEAH IF ITS WRONG THAN SORRY. :(

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The ratio of students who wear glasses to the total class is 2: 5. If there
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