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Home » \|\mathbfa\|^2 \mathbfv = \mathbfa \times \mathbfb - Midis

\|\mathbfa\|^2 \mathbfv = \mathbfa \times \mathbfb - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Substituting the values, we get \( \pi \times 3^2 \times 5 = 45\pi \).

📌 Using \( \pi \approx 3.14159 \), the volume is approximately \( 141.37 \text{ cubic meters} \).

📌 If \( x \) and \( y \) are two numbers such that \( x + y = 10 \) and \( xy = 21 \), what is the value of \( x^2 + y^2 \)?

📌 We know \( x^2 + y^2 = (x+y)^2 - 2xy \).

📌 Substituting the given values, \( x^2 + y^2 = 10^2 - 2 \times 21 = 100 - 42 = 58 \).

📌 A solution contains 40% alcohol. How many liters of pure alcohol must be added to 10 liters of this solution to make a 60% alcohol solution?

📌 Initially, there are \( 0.4 \times 10 = 4 \) liters of alcohol.

📌 Let \( x \) be the liters of pure alcohol added.

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