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📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Thus, the ratio of the new volume to the original volume is:

📌 \boxed{0.96}

📌 Question:** The angle between the hour and minute hands of a clock at 4:50 is to be found, and then determine how many degrees less than 180° this angle is—use precise geometric calculation.

📌 At 4:50, each hour represents 30° (since \( \frac{360^\circ}{12} = 30^\circ \)).

📌 The minute hand at 50 minutes is at:

📌 \times 6^\circ = 300^\circ \text{ (from 12 o’clock)}

📌 The hour hand at 4:50 is not exactly at 4. Each hour is 30°, and each minute adds \( 0.5^\circ \):

📌 \text{Hour position} = 4 \times 30^\circ + 50 \times 0.5^\circ = 120^\circ + 25^\circ = 145^\circ

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