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Home » Divide by \(-2\) (note that dividing by a negative reverses the inequality): - Midis

Divide by \(-2\) (note that dividing by a negative reverses the inequality): - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Solution: Since the cones are similar, the ratio of their linear dimensions is $ \frac{15}{60} = \frac{1}{4} $. The volume ratio of similar solids is the cube of the linear ratio:

📌 \left(\frac{1}{4}\right)^3 = \frac{1}{64}

📌 The volume ratio is $ \boxed{\frac{1}{64}} $.

📌 Question: A bioinformatician is analyzing a molecular structure shaped like a regular hexagon with side length 6 cm. What is the area of the hexagon?

📌 Solution: The area $ A $ of a regular hexagon with side length $ s $ is:

📌 Substitute $ s = 6 $:

📌 A = \frac{3\sqrt{3}}{2} \cdot 36 = 54\sqrt{3}

📌 The area is $ \boxed{54\sqrt{3}} $ cm².

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