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Home » Why Your Cat Refuses to Dance: Experts Reveal the Hidden Humiliation! - 500apps

Why Your Cat Refuses to Dance: Experts Reveal the Hidden Humiliation! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 5Question: Compute \(\cos 45^\circ\) and use it to find the length of the diagonal of a square with side length \(7\) units.

📌 Solution: The cosine of \(45^\circ\) is given by \(\cos 45^\circ = \frac{\sqrt{2}}{2}\). For a square with side length \(s = 7\) units, the length of the diagonal \(d\) can be calculated using the Pythagorean theorem: \(d = s\sqrt{2}\). Substituting the value of \(s\), we get \(d = 7\sqrt{2}\). Therefore, the length of the diagonal is \(\boxed{7\sqrt{2}}\).

📌 Question: The area of a regular hexagon is \(54\sqrt{3}\) square units. Find the length of each side of the hexagon.

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