What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. sin(20°) = L N Over 8 cos(70°) = 8 Over L N tan(70°) = L N Over M N sin(20°) = 8 Over L N cos(70°) = L N Over 8

Prove the divisibility of the following numbers: ! i have no any is 1. 16^5 + 2^15 by 33 2. 15^7 + 5^13 by 30

Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. if y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship? a)y=2/3 x b)y=3/2 x c)y = 2x d)y = 6x

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)