97 π cm, 27,5cm , √5/3cm, 3/5cm

asked Jan 18, 2022 7.5k views

3 votes

by Fjott

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1 vote

Answer:

Explanation:

Note that

$(√(5))/(3)=(5√(5))/(15)\\(3)/(5)=(9)/(15)$

Since

$(5√(5))=125 > 81 = 9^2, \text{ then }\\(5√(5))/(15) >(9)/(15)$

(3)/(5) < (√(5))/(3)

Now clearly

$(√(5))/(3) < 1 < 27, 5 < 97 < 97\pi$

Therefore

$(3)/(5) < (√(5))/(3) < 27,5 < 97\pi$

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