A homeowner is to construct a ramp to his front door to make is wheelchair accessible. How long does the ramp need to be if the door is 4 feet above ground level and the angle of elevation is 20 ?​

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

At 6 1/2 cents per pound of string beans how much does 7 pounds cost

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.