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3 years ago

HELPPP If YV = 28 in, find the length of VYX.

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

B) 68.91 inches

Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.

282/360 * 28*pi = arc length of VYX

Thus, the length of VYX = 68.90559887 inches

Thus, the correct answer is B, 68.91 in.

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