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The Third of May 1808 - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 The shortest altitude corresponds to the longest side (15 cm). The area is also given by $ A =

📌 Question: In a science museum exhibit, a right triangle is displayed with hypotenuse $ z $ and inradius $ c $. If the legs are in the ratio 3:4, what is the ratio of the area of the incircle to the area of the triangle?

📌 Let the legs be $ 3k $ and $ 4k $. Then the hypotenuse is:

📌 The ratio of the area of the circle to the triangle is:

📌 Question: A science communicator demonstrates volume scaling in a physics exhibit. If a sphere has radius $ x $ and a hemisphere has radius $ 3x $, what is the ratio of the volume of the hemisphere to the volume of the sphere?

📌 The volume of a sphere of radius $ x $ is:

📌 The volume of a hemisphere of radius $ 3x $ is half the volume of a full sphere of radius $ 3x $:

📌 Solution: To find the number of samples that contain the gene, multiply the total number of samples by the fraction that contains the gene:

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