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aniked [119]
4 years ago
11

The triangles are similar. The area of the larger triangle is 567 cm². What is the area of the smaller triangle?

Mathematics
1 answer:
Ivanshal [37]4 years ago
4 0
The answer is C. The scale factor of the smaller triangle to the larger triangle is 18:54, or 1:3. The ratio of their areas is the scale factor squared, 1:9. If the larger triangle had an area of 567, the smaller triangle is 1/9th of that. 567 divided by 9 is 63.
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Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below

<h3>Data obtained from the questio</h3>
  • (p - 1/p) = 4
  • p² + 1/p² = ?

<h3>How to determine the value of p² + 1/p²</h3>

(p - 1/p) = 4

Square both sides

(p - 1/p)² = (4)²

(p - 1/p)² = 16 ....(1)

Recall

(a - b)² = a² + b² - 2ab

Thus,

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(p - 1/p)² = p² + 1/p² - 2

From equation (1) above,

(p - 1/p)² = 16

Therefore,

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Rearrange

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Thus, the value of p² + 1/p² is 18

Learn more about algebra:

brainly.com/question/953809

#SPJ1

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