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Home » Sum of digits of 2023 is \(2+0+2+3 = 7\), not divisible by 3. - Abu Waleed Tea

Sum of digits of 2023 is \(2+0+2+3 = 7\), not divisible by 3. - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: A quantum algorithm designer is modeling a 3D lattice where each node is a cube of side $ x $. A diagonal connects two opposite vertices of the cube. What is the length of this space diagonal in terms of $ x $?

📌 The space diagonal $ d $ of a cube with side length $ x $ is given by the 3D Pythagorean theorem:

📌 d = \sqrt{x^2 + x^2 + x^2} = \sqrt{3x^2} = x\sqrt{3}

📌 \boxed{x\sqrt{3}}

📌 Question: A marine safety consultant studies a triangular coral reef formation with sides of 10 m, 10 m, and 12 m. What is the radius of the inscribed circle in meters?

📌 Let $ a = 10 $, $ b = 10 $, and $ c = 12 $. The semi-perimeter is:

📌 s = \frac{10 + 10 + 12}{2} = 16

📌 Using Heron’s formula for the area:

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