Find the length of the base of the following pyramid given the height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.

Michelle had a birthday party. she bought a bag of candy with 96 starbursts, 72 hershey's, and 68 reese's. she wants to use all the candy she bought to make goody bags with the same amount of starbursts, hershey's and reese's in each bag. what is the largest number of bags she can make?

Sam makes his sales calls according to a pattern. he travels either north or south depending on the calendar. some of his past trips were as follows: on february 17, april 24, june 10, september 19, and november 3 he drove north. on february 28, may 25, august 22, november 20, and december 18, he drove south. describe sams' pattern. in which direction will sam drive on oct4 and oct 24?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?