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how many terms can a senator serve - Anadea

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 \( r + s + t = 6 \), \( rs + rt + st = 11 \), \( rst = 6 \)

📌 \( r^2 + s^2 + t^2 = (r + s + t)^2 - 2(rs + rt + st) = 6^2 - 2(11) = 36 - 22 = 14 \)

📌 Problem:** A triangle has sides of lengths 7, 8, and 9. What is its area?

📌 Use Heron’s formula.

📌 Semi-perimeter \( s = \frac{7 + 8 + 9}{2} = 12 \)

📌 Area \( A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{12(12 - 7)(12 - 8)(12 - 9)} = \sqrt{12 \times 5 \times 4 \times 3} = \sqrt{720} = 12\sqrt{5} \)

📌 Problem:** A geometric sequence has first term 3 and third term 27. What is the sum of the first 5 terms?

📌 Let common ratio be \( r \).

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