Jack and andrea want to create a right triangle together using values of x and y and the polynomial identity to generate pythagorean triples. if andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did jack pick?

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Brad earns $12.75/hr and works 40 hours a week. what is his gross annual income?

On her way to work, mrs. larsen gets a green light at a certain traffic light only 30% of the time. she wants to find the probability that she will get a green light at this traffic light all five mornings that she travels to work next week. use the following randomly generated list of 200 five-digit numbers to answer the questions and find the probability. select the digits you will use to represent a favorable outcome. how many favorable outcomes are on this list? what are they? given this simulation, what is the probability that mrs. larsen will get a green light at this traffic light all five mornings next week?