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Sergio039 [100]
3 years ago
13

What is x^3=8/27 any help please

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0
Hope this helps. Good luck

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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
What is the image point of (-6,3) after a translation right 5 units and down 3 units?
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Answer:
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step-by-step explanation:
(-6,3)
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(-1,3)
down 3
(-1,0)
6 0
3 years ago
A spinner with two equal sectors is spun 5 times.
andreyandreev [35.5K]

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

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3 years ago
Which of the following is another way to show the ratio 13 to 27?
Alisiya [41]
Another ratio of 13:27 is to write it as a fraction. This is to mean;
\frac{13}{27}
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3 years ago
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dezoksy [38]

Answer:

1470

Step-by-step explanation:

When you multiply 210 by 7 it gives you 1470.

Volume = width x height x base

Width x base = area

6 0
3 years ago
Read 2 more answers
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