NC Math 3 EOC Review #2

A circle with the diameter of 22 inches has an unknown arc length subtended by a central angle of 3 radians. Find the arc length.

(a)  

Using the given quadrilateral, is there enough information for this to be proven to be a parallelogram.

Evaluate the logarithm:

$$\log_232$$  

(a)  

A cylinder has a height of 9 in. and a radius of $$\left(x+2\right)$$  . Which expression represents the volume of this cylinder?

Amy has a circular flower garden, 24 ft in diameter. She sets a sprinkler in the center of the garden, and it rotates through a $$165\degree$$  angle. What is the area covered by the sprinkler? Round your answer to the nearest hundredth.

(a)  

A circular observation deck needs to have an outer railing built around a portion of the observation deck as shown in the picture. What is the length of the railing needed? Round your answer to the nearest hundredth.

(a)  

What is the correct factorization for:

$$121x^2-100y^2$$  

On what interval is this function increasing:

$$y=-x^3-2x^2+15x+36$$  

What solution value is the maximum for this inquality?

$$-2\left|6-3x\right|+5\ge-13$$  

(a)  

Which equation below must have a restricted domain in order to find its inverse?