Consider circle N with radius 30 cm and Theta equals StartFraction pi Over 6 EndFraction radians. Circle N is shown. Line segments L N and M N are radii with lengths of 30 centimeters. Angle L N M is theta.

What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.

12.4 centimeters
15.7 centimeters
31.4 centimeters
36.7 centimeters

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

5(-9w) put expression in distributive property