An escalator in a shopping mall is used to transport passengers a vertical distance of 31 feet to the second floor. If the escalator makes a 27-degree angle with the first floor, how long is the escalator? (Please use the exact ratio to calculate the missing side and round your answer to the nearest hundredth.)​

An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

Prove that 16^4-2^13-4^5 is divisible by 11.