1. joshua has a ladder that is 12 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 75°. is it possible for joshua to lean the ladder against the wall so that the top of the ladder is at least 11.8 ft above the ground? show your work and draw a diagram to support your answer.

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)

On monday, the water was shut off 3 times for 1/4 hours, 2/3 hours, and 1-3/4 hours, respectively. what was the tireless number of hours the water was off?