Answer: 27.69⁰
Step-by-step explanation:
Formula for finding the internal angle of a regular polygon is
( 2n - 4 )right angle triangle or
( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,
( n - 2 )180 or supplementary
Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.
( n - 2 ) × 180° = 1980°
open the bracket
180n° - 360° = 1980°
180n° = 1980° + 360°
= 2340
To find n, divide by 180 which is the coefficient of n
n = ²³⁴⁰/₁₈₀
= 13
The polygon has 13, sides
To find the measure of each angle,
Recall, the sum total of external angle = 360⁰
Therefore, to find the value of each of the angles, we divide 360 by n which is 13
³⁶⁰/n
= ³⁶⁰/₁₃
= 27.69⁰
Answer:
3694.5 yd^3
Step-by-step explanation:
cone volume equation:
π x 
x 
π (28 yd/2)^2 x (18/3)
π x 196 x 6
3694.5 yd^3
Combine like terms and then divide out the coefficient to solve for n
Your second equation has 2 x-intercepts because its curve goes beneath the x-axis, meaning it crosses the x-axis twice. Your first equation has only one x intercept because its vertex touches the x-axis. The transformation that occurred was a vertical shift downwards, (since the image function has that little -7 at the end : ) )
