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m_a_m_a [10]
3 years ago
14

Find the volume of the solid obtained by rotating the region bounded by y = 8 x 2 , x = 1 , and y = 0 , about the x -axis.

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0
A cross-section is a disc with radius 8x^2

V = \int_0^1 A(x)\, dx = \int_0^1 \pi\left(8x^2\right)^2 dx = \int_0^1 64 \pi x^4 = \left[\frac{64\pi}{5} x^5\right]_0^1 \\
\\
= \frac{64\pi}{5}
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What is m∠DHG? Enter your answer in the box.
LenaWriter [7]

the 2 equations given are vertical angles which mean they would equal the same.

Set the two equations to equal each other to solve for x:

6(x-2) = 3x+30

Simplify the left side:

6x-12 = 3x+30

Add 12 to eac side:

6x = 3x+42

Subtract 3x from each side"

3x = 42

Divide both sides by 3:

X = 42/3

X = 14


Now you know X, replace x with 14 in the equation for DHG:

DHG = 6(x-2)

6(14-2)

Simplify:

6(12)

Multiply:

72

Angle DHG is 72 degrees.

6 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to y = -7/4x?
dexar [7]
A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.

Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7
6 0
3 years ago
If x=4 and y=3 what is the value of 5x+2y-6<br><br> show how you got the answer.
Oksana_A [137]

Answer:

<em>Given </em><em>x </em><em>=</em><em> </em><em>4</em><em> </em><em>and </em><em>y </em><em>=</em><em> </em><em>3</em>

Step-by-step explanation:

5x +2y -6 = <em>5</em><em>*</em><em>4</em><em> </em><em>+</em><em> </em><em>2</em><em>*</em><em>3</em><em> </em><em>-</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>0</em><em> </em><em>+</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>0</em>

7 0
3 years ago
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Libby earns $10 each hour for babysitting. Let m = the money she earns, and t = the time in hours she is babysitting. What equat
elena55 [62]

Answer:

$10t=m

Step-by-step explanation:

If for each hour is $10.

She would earn the number of  hours times $10.

Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m.  m=40

8 0
3 years ago
The sides of a rectangle are enlarged by a scale factor of 2. Write
Dennis_Churaev [7]

Answer:

4

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

5 0
2 years ago
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