⦁joshua has a ladder that is 11 ft. long. he will lean the ladder against a vertical wall. for safety reasons, he wants the angle the ladder makes with the ground to be no greater than 65°. is it possible for joshua to lean the ladder against the wall so that the top of the ladder is at least 10 ft. above the ground? show your work and draw a diagram to support your answer.

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?