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Fantom [35]
3 years ago
13

A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence

begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
A. 17
B. 28
C. 35
D. 39
E. 50
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
Well, to get the possible length you start with 6 in (0.5 feet) and add 5.5 feet multiple times. You could get 6, 11.5, 17, 22.5, 28, 33.5, 39, 44.5, 50, ...
Notice we missed the "35" option, which is, thus, not possible.
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Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

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<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

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y = 49°

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