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B) To promote European colonial expansion - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 C = 2\pi r = 2\pi \left(\frac{5\sqrt{2}}{2}\right) = 5\pi\sqrt{2}

📌 Thus, the circumference of the circle is:

📌 \boxed{5\pi\sqrt{2}}

📌 Given a triangle with sides \(7 \, \text{cm}\), \(24 \, \text{cm}\), and \(25 \, \text{cm}\), find the length of the shortest altitude.

📌 The triangle is a right triangle (since \(7^2 + 24^2 = 25^2\)). The area \(A\) of the triangle is:

📌 A = \frac{1}{2} \times 7 \times 24 = 84 \, \text{cm}^2

📌 The altitude to the hypotenuse \(c = 25\) is:

📌 h_c = \frac{2A}{c} = \frac{168}{25} = 6.72 \, \text{cm}

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