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Ratling [72]
3 years ago
11

An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centime

ters in the volume of the cone?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

First find the height of the triangle using the Pythagorean theorem:

Height = √(14^2 - 7^2)

Height = √(196 - 49)

Height = √147

Height = 7 √3

Now find the volume of the cone:

Volume = PI x r^2 x H/3

Volume = 3.14 x 7^2 x 7√3/3

Volume = 621.8177 cubic cm's.

Round the answer as needed.

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which of the following sets could be the sides of a right triangle? {2,3, square root 13} {5,5,2 square root 10} {5,12,15}
anastassius [24]

All of these sets meet the requirements of the triangle inequality. The sum of any two numbers in the set is greater than the third one. (You really only need to check that the sum of the smallest two is greater than the largest.)

It can help to resolve the numbers that are only indicated as to value.

√13 ≈ 3.606

2√10 ≈ 6.325

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Your comparisons can be ...

2 + 3 = 5 > 3.606 . . . is a triangle

5 + 5 = 10 > 6.325 . . . . . . is a triangle

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8 0
4 years ago
The product of Greg’s age and 2 is 26
Goshia [24]

Answer:

Gregs age is 13

Step-by-step explanation:

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5 0
3 years ago
H. Goes through (-3, -2) and parallel to y = 5 x +5
olchik [2.2K]

Answer:  y = 5x + 13

<u>Step-by-step explanation:</u>

Parallel means it has the same slope.  

Given line y = 5x + 5  --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁)  such that

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y + 2 = 5(x + 3)          <em>input m and (x₁, y₁) into the Point-Slope formula</em>

y + 2 = 5x + 15          <em>distributed</em>

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7 0
3 years ago
How do you get 100 using 1,2,3,4,5,6,7,8,9?
AfilCa [17]

Answer: One possible way:  123 - 45 - 67 + 89

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We can merge numbers to get 100.

123 - 45 - 67 + 89  (We used every number once)

Lets solve from left to right.

123 - 45 = 78. 78 - 67 = 11. 11 + 89 = 100.

8 0
3 years ago
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sp2606 [1]
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