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📰 Question: Find all angles $z \in [0^\circ, 360^\circ]$ that satisfy $2\sin(2z) = \sqrt{3}$. 📰 Solution: Divide both sides by 2: $\sin(2z) = \frac{\sqrt{3}}{2}$. The general solutions for $2z$ are $2z = 60^\circ + 360^\circ k$ or $2z = 120^\circ + 360^\circ k$, where $k$ is an integer. Solve for $z$: $z = 30^\circ + 180^\circ k$ or $z = 60^\circ + 180^\circ k$. Within $[0^\circ, 360^\circ]$, valid solutions are $z = 30^\circ, 60^\circ, 210^\circ, 240^\circ$. Final answer: $\boxed{30^\circ, 60^\circ, 210^\circ, 240^\circ}$. 📰 Question: In a city grid, $\|\overrightarrow{OA}\| = 5$ km and $\|\overrightarrow{OB}\| = 12$ km, with an angle of $90^\circ$ between them. If $\overrightarrow{OC} = 2\overrightarrow{OA} - \overrightarrow{OB}$, find $\|\overrightarrow{OC}\|$. 📰 Ultra Virus Killer 📰 This Fortnite Update Will Change How You Play Foreverdont Miss It 9343045 📰 Heres Why Citric Acid Powder Is A Game Changer You Never Knew You Needed 8160263 📰 Ametuar Surgeon 📰 Human Resource Management System Software 📰 Free Pc Horror Games 📰 Highest Jumbo Cd Rates 9128370 📰 Todays Interest Rates 📰 Iphone Price Se 📰 Police Confirm Witchfire Extraction Shooter And People Are Shocked 📰 Windows 10 Windows Creation Tool 2418162 📰 Backlinking Sites 📰 China Evergrande Group Stock Did This 300B Collapse Just Begin Shocking Breakthrough 7126899 📰 Mediatek Wi Fi 6E Mt7902 Wireless Lan Card Drivers 5852760 📰 Investment Banking Jobs