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where to watch chicago cubs vs detroit tigers - Decision Point

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Question: A museum exhibit features a spherical globe with radius 10 cm. A digital model is created at half the scale. What is the ratio of the surface area of the digital model to the original globe?

📌 Question: An equilateral triangle with side length 14 cm is used as a base for a sustainable solar panel array. If each side is increased by 2 cm to enhance energy capture, by how many square centimeters does the area increase?

📌 Question: A right triangle is displayed in a digital museum catalog, with legs of 9 cm and 12 cm. A circle is inscribed within the triangle. What is the radius of the inscribed circle?

📌 Question: A museum curator designs a circular exhibit space with radius 10 meters. A square interactive zone is inscribed within the circle. What is the area, in square meters, of the square zone?

📌 Solution: Let the original side length be $ s $. The area $ A $ of an equilateral triangle is given by the formula:

📌 Question: The length of the hypotenuse of a right triangle is $ z $, and the radius of the inscribed circle is $ c $. Express the ratio of the area of the incircle to the area of the triangle in terms of $ z $ and $ c $.

📌 Solution: Let the legs of the right triangle be $ a $ and $ b $, and the hypotenuse $ z $. The area $ A $ of the triangle is:

📌 The radius $ c $ of the incircle of a right triangle is given by:

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