Given a = 60o, b = 80o, and a = 5.1, use the law of sines to solve the triangle for the value of b. round answer to two decimal places.

Angel entered a triathlon (a three-part race). he swam 1 mile, rode his bike 30 miles, and ran 10 miles. how far did he go altogether? a. 11 miles b. 123 miles c. 41 miles d. 40 miles

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.)

At the bulk food store, stacy bought 7 lbs of nuts. she used 8 ounces of nuts in a recipe and then put the rest of the nuts into small bags to use for snacks. if each small bag contains 4 ounces of nuts, how many small bags of nuts did stacy make? a, 26 b,24 c,19 d,15. show work first one , to you first user, okie welp