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Home » Between the Lines: Sydney Sweeney’s Natural Look Without Makeup Stuns Fans - Get link 4share

Between the Lines: Sydney Sweeney’s Natural Look Without Makeup Stuns Fans - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 5Question: A historian analyzing ancient architectural blueprints discovers a right triangle with hypotenuse $ z $ and inradius $ c $. If the triangleâs area is $ A $, what is the value of $ rac{\pi c^2}{A} $, the ratio of the incircleâs area to the triangleâs area?

📌 Solution: For a right triangle with legs $ a $ and $ b $, and hypotenuse $ z $, the inradius is given by $ c = rac{a + b - z}{2} $. The area $ A $ of the triangle is $ rac{1}{2}ab $. The area of the incircle is $ \pi c^2 $. Using the identity $ a^2 + b^2 = z^2 $, and expressing $ a + b $ in terms of $ z $ and $ c $, we find $ a + b = z + 2c $. Also, the semiperimeter $ s = rac{a + b + z}{2} = rac{2z + 2c}{2} = z + c $. The area can also be written as $ A = r \cdot s = c(z + c) $. Therefore, the ratio becomes:

📌 rac{\pi c^2}{A} = rac{\pi c^2}{c(z + c)} = rac{\pi c}{z + c}

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Número total de períodos en 4 años: \(4 \times 2 = 8\).
Después de 1er período: \(5000 \times 1.03 = 5150\).
Después de 2do período: \(5150 \times 1.03 = 5304.5\).
Después de 3er período: \(5304.5 \times 1.03 = 5463.635\).
Después de 4to período: \(5463.635 \times 1.03 = 5627.54405\).
Después de 5to período: \(5627.54405 \times 1.03 = 5796.3703715\).
Después de 6to período: \(5796.3703715 \times 1.03 = 5970.261482645\).

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