A contractor needs to build a ramp from the level ground up to a loading door that is 10 feet higher than the ground. By code, the angle of elevation can be no greater than 7°. a) How long must the ramp be if a 7° angle of elevation is used? Round to the nearest hundredth.

b) How far along the ground from the base of the door should the contractor begin building the ramp? Round to the nearest hundredth.

Out of 50 students surveyed, 16 have a dog. based on these results, predict how many of the 280 students in the school have a dog.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

Your weight on the moon is relative to your weight on earth. neil armstrong weighed 360 lbs. in his moon gear while on the earth, but on the moon he only weighed 60 lbs. how much would a 150 lb person weigh on the moon?