In a national park the distance between the base of two cliffs is 312 feet . The angle of elevation from the base of the shorter cliff to the top of the taller cliff is 35 degrees the angle of the elevation from the base of the taller cliff to the top of the shorter cliff is 27 degrees the tops of the two cliff are joined by a bridge of length x as modeled below

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

What is the value of m in the equation 1/2 m - 3/4n=16 when n=8

Prove that 16^4-2^13-4^5 is divisible by 11.