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Troyanec [42]
2 years ago
6

 if a polyhedron has 7 Face 15 edges how many vertices have

Mathematics
1 answer:
coldgirl [10]2 years ago
6 0
10 vertices





Hope it helps
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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
Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.
forsale [732]
X - 3 < 9    or    x + 5 ≥ 10
  + 3 + 3               - 5   - 5
     x < 12      or      x ≥ 5

Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)
8 0
3 years ago
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Use Euler's formula to find the missing number.
Damm [24]
The answer to your question is 24
4 0
3 years ago
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Aleesia has a box of 52 muffins. She wants to put out plates that each have the same number of muffins. What is one possible way
Dmitriy789 [7]
13,because it’s the single number that divides with 52
52:13=4
7 0
2 years ago
Which of the following relations represent a function?
ziro4ka [17]
The answer would be c because if you see closely the function is -1 and 4 March determining the perspectives and how the procedure goes
7 0
3 years ago
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