A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest source of fresh water. If it costs 2.4 times as much money to lay pipe in the water as it does on land, how far down the shoreline from P should the pipe from the island reach land in order to minimize the total construction costs? Distance from P =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the
closest source of fresh water. If it costs 2.4 times as much money to lay pipe in the water as it does on land, how far down the shoreline from P should the pipe from the island reach
land in order to minimize the total construction costs?
Distance from P =
Transcribed Image Text:A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest source of fresh water. If it costs 2.4 times as much money to lay pipe in the water as it does on land, how far down the shoreline from P should the pipe from the island reach land in order to minimize the total construction costs? Distance from P =
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