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Home » From Infamy to Infamy: The Real Bloody Bastards You Won’t Forget! - Simpleprint

From Infamy to Infamy: The Real Bloody Bastards You Won’t Forget! - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 The altitude corresponding to side $a$ is given by $h_a = \frac{2A}{a}$. Compute each altitude:

📌 h_{13} = \frac{2 \cdot 84}{13} = \frac{168}{13}, \quad h_{14} = \frac{168}{14} = 12, \quad h_{15} = \frac{168}{15} = 11.2

📌 The shortest altitude is $11.2$.

📌 Question: Compute $\cos 180^\circ + \cot 30^\circ$.

📌 Solution: $\cos 180^\circ = -1$, and $\cot 30^\circ = \frac{1}{\tan 30^\circ} = \frac{1}{\frac{\sqrt{3}}{3}} = \sqrt{3}$. Therefore:

📌 \cos 180^\circ + \cot 30^\circ = -1 + \sqrt{3}

📌 \boxed{-1 + \sqrt{3}}

📌 $$**Question:** A philosopher of science is pondering the nature of cyclical patterns in scientific discovery. They note that certain patterns repeat every few years, akin to modular arithmetic cycles. What is the remainder when $12345 + 12347 + 12349 + 12351$ is divided by 6?

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