PLEASE HELP A farmer has a field in the shape of a trapezoid, formed by three congruent isosceles triangles, as shown below. He wants to plant vegetation in the green shaded area and pour concrete in the remaining area. a. What area of the field does the farmer plan to use for vegetation planting? Round your answer to the nearest tenth of a square yard.

b. If a bag of top soil costs $12 and covers 36 square yards, how much will it cost the farmer to cover the vegetation part of his field with the top soil?

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.)