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Pani-rosa [81]
2 years ago
7

What is the sum of the interior angles for any polygon or how would you find it

Mathematics
1 answer:
lozanna [386]2 years ago
6 0

Answer:

(n-2) x 180 degrees

Step-by-step explanation:

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where n is the number of sides. All the interior angles in a regular polygon are equal.

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The range of 3, 5, 1, 2, 4, 6, 0, 2 is *
Scrat [10]

Answer:

6-0=6

Step-by-step explanation:

you take the highest number subtract the lowest answer

6 0
4 years ago
Read 2 more answers
What is the greatest common factor of x4 and x3
Dvinal [7]

Answer:

x3

Step-by-step explanation:

Considering x4 and x3 actually power terms.

I mean: x4 is x^{4} and x3 is x^{3}.

Let's decompose the first term: x^{4}=x^{3}.x

Now it is clear that the common factor is x^{3}.

5 0
4 years ago
A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.
Rom4ik [11]
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)

k defines some vertical stretch, so there are an infinitely many solutions for f(x).
8 0
3 years ago
Solve the equation : <br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%
Debora [2.8K]

Answer:

General solution is

 x = n \pi + \frac{\pi }{8}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }

<u><em>Step(ii):-</em></u>

<u><em></em></u>\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }<u><em></em></u>

cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x

cos (\frac{\pi }{4}+x ) = cos 3 x

<u><em>Step(iii):-</em></u>

<u><em>General solution of  cos x = cos ∝  is  x = 2 nπ+∝</em></u>

<u><em>we have </em></u> cos (\frac{\pi }{4}+x ) = cos 3 x

The general solution of  cos (\frac{\pi }{4}+x ) = cos 3 x is

⇒  3 x   = 2 n \pi  + (\frac{\pi }{4}+x )

⇒ 3 x- x = 2 n \pi + \frac{\pi }{4}

 2x = 2 n \pi + \frac{\pi }{4}

<em><u>final answer</u></em>:-

General solution is

 x = n \pi + \frac{\pi }{8}

             

8 0
3 years ago
Geraldine is graphing the inequality x&lt;6. Which statements below describe steps she may take to graph the inequality correctl
Vlad1618 [11]

Answer:

Draw an open circle at 6

Shade all numbers less than 6

Shade all numbers to the left of 6

Step-by-step explanation:

we have

x

The solution of the inequality is the interval (-∞,6)

All real numbers less than 6

In a number line the solution is the shaded area to the left at number 6 (open circle)

see the attached figure to better understand the problem

therefore

Draw an open circle at 6

Shade all numbers less than 6

Shade all numbers to the left of 6

3 0
3 years ago
Read 2 more answers
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