Mathematics Homework Solutions
#49572
Pipe Diameter Questions
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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