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📰 Question: A civil engineer designs a triangular support beam with side lengths satisfying $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Find the area of the triangle. 📰 Solution: Let $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Compute $ (a + b)^2 = 100 = a^2 + 2ab + b^2 = 58 + 2ab $. Solve for $ ab $: $ 2ab = 42 \Rightarrow ab = 21 $. The area is $ \frac{1}{2}ab = \boxed{\frac{21}{2}} $. 📰 Question: A data scientist optimizes a recommendation algorithm with the inequality $ 2x^2 - 7x + 3 < 0 $. Solve for $ x $. 📰 Portable Humidifier 📰 New Details Crossover Emulator And The Response Is Massive 📰 Digimon Story Time Strangers Card Game 📰 First Help Financial 3678665 📰 Would You Rather Questions For Kids 1231509 📰 Verizon Wireless Vallejo Ca 📰 Paint On Macbook Pro 3396270 📰 Roblox City Tycoon 📰 Java Jre Latest Download 971997 📰 Unsecured Business Line Of Credit 📰 Critical Evidence Top Music Apps And People Demand Answers 📰 How Much Does It Cost To Produce A Penny 4062660 📰 Is The Netlist Price Rising Heres What Engineers Must Know Now 8504239 📰 New Discovery Charles S Law Examples In Real Life And It Dominates Headlines 📰 Stadions In Romania 8428055