Amaya is flying her zeppelin balloon. The string is 90 ft. long, and the angle of elevation to the balloon from the ground is 60∘. Across the park, Rochelle is watching the balloon which is between Rochelle and Amaya. The angle of elevation from Rochelle's feet to the balloon is 75∘. Show a diagram for the problem.

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

In the diagram below, abc is congruent to dec what is the value of x