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Home » Solution: Multiply numerator and denominator by the conjugate of the denominator, $\sqrt7 - 3$: - Midis

Solution: Multiply numerator and denominator by the conjugate of the denominator, $\sqrt7 - 3$: - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 初速度 \( 50 \) m/sで、水平面に対して \( 30^\circ \) の角度で射出された射体の水平到達距離を求めます。\( g = 9.8 \) m/s² とします。

📌 射程の公式は \( R = \frac{v^2 \sin(2\theta)}{g} \) です。

📌 \( v = 50 \) m/s、\( \theta = 30^\circ \) 、\( \sin(60^\circ) = \frac{\sqrt{3}}{2} \) です。

📌 \( R = \frac{50^2 \times \frac{\sqrt{3}}{2}}{9.8} = \frac{2500 \times \frac{\sqrt{3}}{2}}{9.8} \approx 220.86 \) メートルです。

📌 #### 220.86

📌 \( \log_2(x) + \log_2(x-3) = 3 \) を \( x \) について解きます。

📌 対数を組み合わせます：\( \log_2(x(x-3)) = 3 \)。

📌 指数形式に変換します：\( x(x-3) = 2^3 = 8 \)。

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