Answer:
3a. The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b. Each interior angle measures 156°.
3c. The measure of an exterior angles is 24°
Step-by-step explanation:
3a
(n - 2)180 = 2340
n - 2 = 13
n = 15
The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b
2340/15 = 156
Each interior angle measures 156°.
3c
There are 2 ways to calculate the measure of an exterior angle.
Method 1:
Each exterior angle is supplementary to its adjacent interior angle.
156 + x = 180
x = 24
Method 2:
The sum of the measures of the exterior angles of a polygon, 1 per vertex, is 360, no matter the number of sides.
360°/15 = 24°
The measure of an exterior angles is 24°
Answer:
The slope is -4
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(1-5)/(3-2)
-4/1
-4
We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x = 
OR x = 
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x = 
OR x = 
⇒ x = 
OR x = 
Hence, g^-1(x) = OR x =
Answer:
62.8 m^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = (3.14) ( 2)^2 *5
V = 62.8 m^2
