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juin [17]
3 years ago
11

Find the interior angles of a regular polygon which has 6, 10 and 20 sides​

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

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Can u just post the whole question or elaborate further
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3 years ago
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Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

3 0
3 years ago
Describing Key Features of a Graph of a Polynomial Function:
Diano4ka-milaya [45]

<u>End behavior: </u>

The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.

<u>Zeroes:</u>

f(x) = x³ + 2x² - 8x

0 = x³ + 2x² - 8x

0 = x(x² + 2x - 8)    

0 = x(x + 4)(x - 2)

0 = x         0 = x + 4         0 = x - 2

x = 0            x = -4              x = 2

<u>Intervals:</u>

Put the zeroes in order: -4, 0, 2

since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.

<u>Graph:</u>

see attachment



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3 years ago
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The troposphere extends from the earth’s surface to a height of 6-12 miles depending on the location and the season. If a plane
Alex73 [517]

Answer:

2.8

Step-by-step explanation:

8.6 - 5.8

6 0
3 years ago
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A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After p
Juliette [100K]

The given question is on trigonometry which requires the application of required <em>function</em> so as to determine the <em>value known</em>. So that the <u>length</u> of the guy wire is 67.0 feet.

<em>Trigonometry </em>is an aspect of mathematics that requires the application of some <u>functions</u> to determine the <em>value</em> of an unknown quantity.

Let the <u>length</u> of the guy wire be represented by l, and the angle that the guy wire makes with the <u>stake</u> be θ. So that applying the appropriate trigonometric function to determine the <em>value</em> of θ, we have:

Tan θ = \frac{opposite}{adjacent}

          = \frac{11}{4}

Tan θ = 2.75

θ = Tan^{-1} 2.75

  = 70.0169

θ = 70^{o}

Considering triangle formed by the <u>tower</u> and the <u>stake</u> to determine the value of l, we have;

Cos θ = \frac{adjacent}{hypotenuse}

Cos 70^{o}  = \frac{23}{l}

l = \frac{23}{Cos 70^{o} }

 = \frac{23}{0.3420}

l = 67.2515

l = 67 feet

The <u>length</u> of the guy wire is 67 feet.

For more on trigonometric, check: brainly.com/question/6459892

4 0
2 years ago
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