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3 years ago

10

The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

1 answer:

Dmitry [639]3 years ago

3 0

The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.

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A frequency table of grades has five classes (A, B, C, D,F) with frequencies of 4, 10, 17, 6, and respectively. Using percentage

fiasKO [112]

We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

$\begin{gathered} N=4+10+17+6+2 \\ N=39 \end{gathered}$

We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

Then, for grade A, the relative frequency (RF) will be:

$RF_A=\frac{4}{39}\approx0.10256\approx10.26\text{ \%}$

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

Now, to complete the table we do the same for the other frequencies:

For grade B:

$RF_B=\frac{10}{39}\approx0.2564\approx25.64\text{ \%}$

For grade C:

$RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}$

For grade D:

$RF_D=\frac{6}{39}\approx0.1538\approx15.38\text{ \%}$

For grade F:

$RF_D=\frac{2}{39}\approx0.0513\approx5.13\text{ \%}$

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1 year ago

A right-angled triangle has sides which are 5 inches and 12 inches. How long is the triangle's hypotenuse?

Andrew [12]

Answer:

13 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a^2 + b^2 = c^2

(5)^2 + (12)^2 = c^2

c^2 = 169 in^2

c = 13 inches

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2 years ago

What is the slope of the line through (1,0) and (3,8)

Arturiano [62]

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 0)/(3 - 1)

Slope = 8/2

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Answer

4

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3 years ago

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3 years ago

A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece

marshall27 [118]

Hello from MrBillDoesMath!

Answer:

7/3 and 14/3 inches

Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

P1 + P2 = 7 => as P2 = 2 P1

P1 + 2P1 = 7 =>

3P1 = 7 => divide both sides by 7

P1 = 7/3

Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

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3 years ago

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