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Home » For a hexagon inscribed in a circle, the side length \( s = \) radius \( = 6 \, \textcm \). - Tacotoon

For a hexagon inscribed in a circle, the side length \( s = \) radius \( = 6 \, \textcm \). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 半径3メートル、高さ5メートルの円柱形のタンクに、毎分2立方メートルの速度で水が注入されています。タンクを完全に満たすには何分かかりますか？

📌 円柱形のタンクの体積は \( V = \pi r^2 h = \pi \times 3^2 \times 5 = 45\pi \) 立方メートルで計算されます。

📌 毎分2立方メートルの速度で満たすのにかかる時間は \( \frac{45\pi}{2} \approx 70.6858 \) 分です。

📌 2次方程式 \( ax^2 + bx + c = 0 \) の根が同じ比率で4:3を持つとします。\( a = 2 \)、\( c = -6 \) の場合、\( b \) の値を求めます。

📌 根を \( 4k \) と \( 3k \) とします。根の和は \( 4k + 3k = 7k \) です。

📌 ヴィエタの公式により、根の和は \( -\frac{b}{a} = -\frac{b}{2} \) です。

📌 したがって、\( 7k = \frac{b}{2} \) であり \( b = 14k \) です。

📌 根の積は \( 12k^2 = \frac{c}{a} = \frac{-6}{2} = -3 \) です。

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