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Home » Mister Fantastic Unveiled: The Secret Behind His Unstoppable Powers! - AMAZONAWS

Mister Fantastic Unveiled: The Secret Behind His Unstoppable Powers! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Solution: Let the trapezoid have bases of lengths $ a = 120 $ m and $ b = 180 $ m, and equal legs of length $ l = 50 $ m. The height $ h $ can be found by dropping perpendiculars from the ends of the shorter base to the longer base, forming two right triangles on either side and a rectangle in the middle. The difference in the bases is $ b - a = 60 $ m, so each of the right triangles has a base of $ \frac{60}{2} = 30 $ m. Using the Pythagorean theorem:

📌 h^2 + 30^2 = 50^2

📌 h^2 = 2500 - 900 = 1600

📌 h = \sqrt{1600} = 40

📌 The height of the trapezoid is $ \boxed{40} $ meters.

📌 Question: A bioinformatician is analyzing a 3D protein structure modeled as a regular tetrahedron with edge length $ e $. If the volume of the tetrahedron is $ 8\sqrt{2} $ cm³, what is the edge length $ e $?

📌 Solution: The volume $ V $ of a regular tetrahedron with edge length $ e $ is given by:

📌 V = \frac{e^3}{6\sqrt{2}}

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