Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r

If you equals this derivative to zero you obtain the value of the angle:

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:

answer b
Answer:
The area of the nonagon is 270cm²
Step-by-step explanation:
The area of a regular polygon is given by

where 'a' is the apothem and 'p' is the perimeter.
The apothem is a=6cm.
The perimeter is p=9×10=90cm.
We substitute the apothem and the perimeter to get:


Answer:3:1
Step-by-step explanation:
Given
There are 27 solid spheres of radius x cm
The volume of a sphere is 
The volume of 27 old spheres is the same as the volume of a new sphere
The volume of the old spheres is

The volume of a new sphere is

Now,

I believe the correct answer is C) Ten times the quantity of a number plus two. Hope this helps! =)