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what time do you turn back the clocks - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 Question: A climatologist models a triangular weather system with sides of lengths 7 cm, 15 cm, and 20 cm. What is the length of the shortest altitude?

📌 Question: A glaciologist compares the volume of a spherical ice core with radius $ 2x $ to a hemisphere-shaped ice shelf with radius $ 3x $. What is the ratio of their volumes?

📌 Question: In a right triangle, the altitude to the hypotenuse divides it into segments of lengths 3 cm and 12 cm. What is the length of the altitude?

📌 Question: A hydroelectric dams spillway is modeled as a trapezoidal channel with bases 5 meters and 9 meters, and height 4 meters. What is the cross-sectional area?

📌 Question: A quantum dot is shaped like a cube with edge length $x$ units. If the volume is doubled, what is the new edge length?

📌 Question: A bioengineer designs a circular bioreactor to enclose a triangular experimental plot with sides 5 cm, 12 cm, and 13 cm. What is the radius of the bioreactor?

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

📌 For the cylinder, its height is equal to its diameter, so the height is $ 2(2r) = 4r $, and its radius is $ 2r $. The volume of the cylinder is:

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