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Home » Le nombre de tels mots est donné par inclusion-exclusion : - Imagemakers

Le nombre de tels mots est donné par inclusion-exclusion : - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 We are told the perimeter is $ a + b + c = 60 $, so:

📌 Now substitute into the inradius formula:

📌 Question: A sphere has radius $ r $, and a cylinder has height equal to the spheres diameter and base radius equal to $ r $. What is the ratio of the volume of the sphere to the volume of the cylinder?

📌 Solution: The volume of a sphere with radius $ r $ is:

📌 The cylinder has base radius $ r $ and height equal to the spheres diameter, which is $ 2r $. So its volume is:

📌 The ratio of the volume of the sphere to the cylinder is:

📌 Question: The area of a triangle is 60 square units, and two of its sides are 13 and 14 units. Find the length of the altitude corresponding to the side of length 14.

📌 Solution: The area $ A $ of a triangle is given by:

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