Use demoivres theorem to express sin5A in terms of sinA​

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?

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.