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Home » Game Pass Ultimate 12 Months: The Ultimate Library You Can Play Every Day! - Silent Sales Machine

Game Pass Ultimate 12 Months: The Ultimate Library You Can Play Every Day! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The rate of Pipe A is \( \frac{1}{4} \) of the tank per hour, and Pipe B is \( \frac{1}{6} \).

📌 Together, their rate is \( \frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12} \) of the tank per hour.

📌 The time to fill the tank is the reciprocal: \( \frac{12}{5} = 2.4 \) hours.

📌 A rectangle has a diagonal of 13 cm and one side of 5 cm. What is the area of the rectangle?

📌 Let the other side be \( b \).

📌 By the Pythagorean theorem: \( 5^2 + b^2 = 13^2 \).

📌 Simplifying gives \( 25 + b^2 = 169 \).

📌 Solving for \( b^2 \) gives \( b^2 = 144 \), so \( b = 12 \).

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