Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B. Given that a = 5 and b = 2, determine the values indicated below. Give answers in exact form. Do NOT use decimals. Type 'sqrt' if you need to use square root. \sin ( A ) = \cos ( A ) = \tan ( A ) = \sin ( B ) = \cos ( B ) = \tan ( B ) =

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

A. use the formula for continuous compounding with the original example: $1000 invested at 2% for 1 year. record the amount to 5 decimal places. use a calculator. b. compare it to the result using the original compound interest formula with n = 365 calculated to 5 decimal places. which has a larger value? explain.

What is the volume of this container?