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Olenka [21]
3 years ago
15

Find the volume of the solid of revolution obtained by rotating the region bounded by

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

https://drive.google.com/open?id=1QAvmjDjuwgFX0mUdHlWmqMSCJcOVMw2X

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Find the area of the shaded region in the figure below. 5in. 8in.
Fiesta28 [93]

Hi there!

<u>Answer:</u>

The area of the shaded region is 28 in²


<u>Step-by-step explanation:</u>

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = <u>8 × 5</u>

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = <u>(8 × 3)</u> ÷ 2

A = <u>24 ÷ 2</u>

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = <u>40 in² - 12 in²</u>

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
the sum of three numbers is 11. if you triple the second number and add the third number, the result will be equal to the first
leonid [27]
<span>1st number = 11, 2nd number = 5.5, 3rd number = -5.5</span>
3 0
2 years ago
A company loses $780 as a result of shipping delay. The 6 owners of the company must share the loss equally. Write an expression
Stels [109]
C that’s the answer very easy there u go
3 0
3 years ago
Can someone help me answer these two questions
andrew11 [14]

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

<u>Problem 1:</u>

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

<u>Problem 2:</u>

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

8 0
2 years ago
What is the equation of the line that passes through the point -1, -3 and has a slope of -5
Nastasia [14]

Answer: y=-5x-8

Step-by-step explanation:

8 0
3 years ago
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