The formula to use is
n = 360/E
where
n = number of sides
E = measure of exterior angle
In our case, E = 15 so
n = 360/E
n = 360/15
n = 24
This regular polygon has 24 sides
Answer:
AC = 12 cm
Step-by-step explanation:
AB=9 centimeters, you figure out what times what is 9. in this case, it is 3 for A and B. Then you go to BC=12 and 3 for B and 4 for C making it 12 So AC would equal 3x4.
Answer:
Step-by-step explanation:
If the area is

and area = length * width and our width is given as x + 4, then the length is found by dividing the area by the width. You could do that using long division, but it's easier using synthetic division.
-4 | 1 -2 -40 -64
______________
1
This is how you start. The -4 inside the box comes from the factor you are dividing by. If x + 4 = 0, then x = -4. The numbers after are the coefficients from each descending power of x. Multiply the -4 by the 1 and put that product up under the -2 and add to get:
-4 | 1 -2 -40 -64
-4
--------------------------------
1 -6
Now multiply -4 by -6 and put that product up under the -40 and add:
-4 | 1 -2 -40 -64
-4 24
-------------------------
1 -6 -16
Multiplying -4 by -16 gives you 64 so when you add you get a remainder of 0.
The numbers under the line give you the depressed polynomial

That gives you the expression for the length. That's C.
The area of a circular segment is given by
.. A = (1/2)r^2*(θ -sin(θ)) . . . . . . . . . θ in radians
.. = (1/2)*(27.8 in)^2*(5π/6 -sin(5π/6))
.. ≈ 818.4 in^2