Mathematics
Mathematics, 24.07.2021 17:10, victoriay3

A freshwater pipeline is to be run from a source on the edge of a lake to a community on an island miles​ offshore, as shown in the figure. Answer the questions that follow. A right triangle has a vertical side labeled 4 miles, a horizontal side labeled x, and an unlabeled hypotenuse. The angle opposite side x is labeled Island. A horizontal line extends from the horizontal side to the Source. The horizontal distance from the island to the source is 10 miles. The horizontal distance from the source to the hypotenuse of the triangle is labeled 10 minus x. 4 10 miles miles Island Source ​(A) If it costs times as much to lay pipe in the lake as it does on​ land, what should x be​ (in miles) to minimize the total cost of this​ project? x nothing miles ​(Round to the nearest tenth as​ needed.)

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