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Rina8888 [55]
3 years ago
8

Pythagorean Theorem in Cones. I need a lot of help.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0
The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.

(side1)^2 + (side2)^2 = (hypotenuse)^2

Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...

4^2 + height^2 = 8^2 

If we solve for height, we get the following...

height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)

Since we are only asked for what is inside the square root, our answer is 48.
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11(n – 1) + 35 = 3n<br><br> n = –6<br> n = –3<br> n = 3<br> n = 6
vlada-n [284]

Answer:

n =  -3

(second option listed)

Step-by-step explanation:

first, we will distribute the 11 (n-1)

11 (n - 1) + 35 = 3n

11n - 11 + 35 = 3n

Now, we will combine -11 and 35 (because they are like terms)

11n + 24 = 3n

Now, to isolate x as a positive, I will subtract 3n from both sides

11n + 24 = 3n

- 3n           - 3n

8n + 24 = 0

Now, I will subtract 24 from both sides to isolate n

8n + 24 = 0

      - 24    - 24

8n = -24

Now, we will divide both sides by 8 to find "n"

8n  = -24

÷8       ÷8

n = -3

This means that n is equal to -3

(n =  -3)

5 0
1 year ago
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What is the solution set for this inequality?
Stels [109]

Answer:

x>-2

Step-by-step explanation:

-8x+32-16<0

-8x<16

divide both sides by -8

x>-2

that's because when you divide by a negative your inequality sign changes

3 0
3 years ago
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4 0
3 years ago
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so I think the answer is 8 or 7.75.
5 0
3 years ago
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