What is the measure of each interior angle in a regular 30-gon?

1 answer:

5 0

Exterior angles always add up to 360 degrees so for 30-gon each exterior angles is 12 degrees (360/30)

To get the interior angles you subtract 180 from 12 to get 168 degrees

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Choose Yes or No to indicate whether the statement is correct.

Savatey [412]

Answer:

3rd one is no. the others are all yes

4 0

3 years ago

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The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

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4 years ago

Victor is measuring his bodily dimensions. his neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long.

Triss [41]

The length of his neck is longer than the length of his forearms by 44.86 %.

<h3>Calculations and Parameters:</h3>

Given:

Length of his neck = 14.72 inches

Length of his forearm = 25.81 cm

We know that:

1 inch = 2.54 cm

So, 14.72 inches = 14.72×2.54

=37.39 cm

So, the Length of his neck becomes 37.39 cm

So, the length of his neck is longer than the length of his forearms.

The difference between them is given by

37.39-25.81

=11.58 cm

so, the Percentage of change would be

11.58/25.81 * 100

=44.86%