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GrogVix [38]
3 years ago
5

Can you help me find the factors?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

1) 1,2,3, 6

2) 1,7

3) 1, 3, 5, 9, 15, 45

4) 1, 2, 4, 5, 10, 20

Step-by-step explanation:

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
Find all trigonometric functions of an angle θ in the third quadrant for which cos θ =(-5)/6
Tanzania [10]

Answer:

Step-by-step explanation:

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3 years ago
What is the measure of the missing angle?<br> 40<br> 90
Lyrx [107]

Answer:

50°

Step-by-step explanation:

I am assuming that the shape is a right triangle.

All interior angles of a triangle add up to 180°.

x + 40 + 90 = 180\\\rule{150}{0.5}\\x + 130 = 180\\\\x + 130 - 130 = 180 - 130\\\\\boxed{x = 50}

The missing angle should be 50°.

Hope this helps.

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