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vesna_86 [32]
3 years ago
14

A dirt bike chain fits tightly around two circular gears. Find the distance between the centers of the gears.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

The distance between the centers of the gears is 27.4 inches

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

we have

BC=CE-EB=9.3-2.4=6.9\ in

AB=DE=26.5\ in

substitute

AC^2=26.5^2+6.9^2

AC^2=749.86\\AC=27.4\ in

therefore

The distance between the centers of the gears is 27.4 inches

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