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Pipe diameter

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6. A V-gauge is used to find the diameters of pipes. In the figure on p. 373 in the text, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter.

a.Suppose that the diameter of a pipe is 2 cm. What is the distance VP?

b.Suppose that the distance VP is 3.93 cm. What is the diameter of the pipe?

c.Find the formula for d in terms of VP.

d.Find a formula for VP in terms of d.

The line VP is calibrated by listing the corresponding diameters as its units. This, in effect, establishes a function between VP and d.

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This shows how to make calculations for a diameter and distance of a pipel.

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Suppose the center of the circle is O. Then the triangle OVP is a right triangle. The angle OVP is ...

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