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Home » How Ancient Civilizations Altered Technology — DTI Reveals the Truth! - Crosslake

How Ancient Civilizations Altered Technology — DTI Reveals the Truth! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Multiply the second equation by 3: \( 12x - 3y = 15 \).

📌 Add to the first equation: \( 2x + 3y + 12x - 3y = 6 + 15 \).

📌 Simplify to \( 14x = 21 \), so \( x = \frac{21}{14} = \frac{3}{2} \).

📌 Substitute \( x = \frac{3}{2} \) into \( 2x + 3y = 6 \): \( 2 \times \frac{3}{2} + 3y = 6 \).

📌 Simplify: \( 3 + 3y = 6 \), so \( 3y = 3 \) and \( y = 1 \).

📌 #### \( \frac{3}{2}, 1 \)

📌 The volume of a cone is 100π cubic centimeters, and its height is 12 cm. Find the radius of the base.

📌 Volume \( V \) of a cone is \( \frac{1}{3}\pi r^2 h \).

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