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of the mice and the man - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Thus, \( n^2 = 121 \), so \( n = 11 \) (since \( n \) is an integer).

📌 A right triangle has legs of lengths 8 and 15. What is the length of the hypotenuse?

📌 Using the Pythagorean theorem, \( a^2 + b^2 = c^2 \), where \( a = 8 \) and \( b = 15 \).

📌 Calculating, \( 8^2 + 15^2 = 64 + 225 = 289 \).

📌 Thus, \( c = \sqrt{289} = 17 \).

📌 The sum of an arithmetic series is 210, with 7 terms. If the first term is 15, what is the last term?

📌 The sum of an arithmetic series is given by \( S_n = \frac{n}{2}(a + l) \), where \( S_n = 210 \), \( n = 7 \), and \( a = 15 \).

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