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foods with high volume low calories - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 First, compute the area using Herons formula.

📌 Now, the altitude $ h $ corresponding to side $ c = 15 $ is:

📌 The area $ A $ of a triangle with inradius $ r $ and semiperimeter $ s $ is given by the formula:

📌 Question: A triangle has side lengths $ 7 $, $ 24 $, and $ 25 $. What is the radius of the inscribed circle?

📌 For a right triangle, the inradius $ r $ is given by:

📌 where $ c $ is the hypotenuse. Substituting:

📌 $$Question: A logistics analyst is modeling delivery routes in a city grid where each block is represented as a unit step east or north. How many different routes starting from the origin reach a point 5 blocks east and 4 blocks north without crossing the line $ y = x + 1 $?

📌 Solution: To count the number of valid lattice paths from $(0, 0)$ to $(5, 4)$ that do not cross the line $ y = x + 1 $, we use the reflection principle. First, compute the total number of unrestricted paths from $(0, 0)$ to $(5, 4)$:

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