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Home » Stop Hacking! The Ultimate Guide to Legit Downloading League of Legends Fast - Midis

Stop Hacking! The Ultimate Guide to Legit Downloading League of Legends Fast - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 A rectangle with dimensions \(8\) cm by \(15\) cm is inscribed in a circle. What is the number of centimeters in the circumference of the circle? Express your answer in terms of \(\pi\).

📌 When a rectangle is inscribed in a circle, its diagonal is the diameter of the circle. Using the Pythagorean Theorem, the diagonal \(d\) is:

📌 d = \sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17 \text{ cm}

📌 Thus, the diameter of the circle is \(17\) cm, so the radius is \(8.5\) cm. The circumference \(C\) is:

📌 C = 2\pi r = 2\pi \times 8.5 = 17\pi \text{ cm}

📌 The circumference of the circle is \(\boxed{17\pi}\) cm.**Question:

📌 A herpetologist studying the conservation of endangered reptiles and amphibians in Southeast Asia models the population growth of a rare species using the equation \( P(t) = P_0 e^{rt} \), where \( P_0 \) is the initial population, \( r \) is the growth rate, and \( t \) is time in years. Given \( P_0 = 100 \), \( r = 0.05 \), and \( P(t) = 200 \), solve for \( t \).

📌 We start with the equation for population growth:

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