In order to determine how much paint is needed to paint the front of a cottage, the contractor needs to determine the area that will be painted (the shaded region). The front of the cottage has a 7ft by 2ft door and a circular window with a diameter of 2ft. Calculate for the contractor the area that will be painted.
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Drag statements and reasons to each row to show why the slope of the line between d and e is the same as the slope between e and f, given that triangles a and b are similar.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)

Acabbage palmetto has a height of 80 feet.what is the approximate height of the tree in meters