Answer:
The answer is 288
Step-by-step explanation:
I did the assinment
Answer: Choice C) {6, 9, 12}
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Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
Answer:
Step-by-step explanation:
|x+3|+7>8
|x+3|>8-7
|x+3|>1
either x+3>1
x>2
or x+3<-1
x<-4
Answer:
Step-by-step explanation:
1.
To write the form of the partial fraction decomposition of the rational expression:
We have:

2.
Using partial fraction decomposition to find the definite integral of:

By using the long division method; we have:


<u> </u>

So;

By using partial fraction decomposition:


x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:

Now;

Thus;

Now; the integral is:


3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.
Please check to the attached image below for the solution to question number 3.
Answer:
192π
Step-by-step explanation:
cylinder volume is base times height
2πr^2 = base = 64π
height = 3
64π*3 = 192π