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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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<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>y + 3 = \frac{2}{3}(x -5)<u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

Given that,

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m = \frac{2}{3}

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8 0
3 years ago
Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter
MissTica

Answer:

The race must be up to 29 meters for Dhvan to win.

Step-by-step explanation:

Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

45 / (2.5 - 1) = X

45 / 1.5 = X

30 = X

Therefore, the race must be up to 29 meters for Dhvan to win.

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Step-by-step explanation:

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Step-by-step explanation:

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The weight can vary from 22.5 to 25.5

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