Aramp 31ft long raises to a platform. the bottom of the platform is 16ft from the foot of the ramp. find x, the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.

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.

X/y + 4y/x divided by x/y - 2y/x explain as in depth as you can how you simplfied the fractions. i don't know where to start on this : /

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.