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📰 Solution: The diameter of the semicircular drum is 12 meters, so the radius is half the diameter. Thus, $ r = \frac{12}{2} = 6 $ meters. The radius is $ \boxed{6} $ meters.Question: Find $ x $ such that the vectors $ \begin{pmatrix} x \\ 3 \end{pmatrix} $ and $ \begin{pmatrix} 2 \\ -x \end{pmatrix} $ are orthogonal. 📰 Solution: Two vectors are orthogonal if their dot product equals zero. Compute the dot product: $ x \cdot 2 + 3 \cdot (-x) = 2x - 3x = -x $. Set this equal to zero: $ -x = 0 $. Solving gives $ x = 0 $. \boxed{0} 📰 Question: Determine the minimum value of $ (\tan x + \cot x)^2 $ for $ x $ in the domain where $ \tan x $ and $ \cot x $ are defined. 📰 Best Gaming Headphones 2515641 📰 Twin Lakes Golf Course 5363674 📰 Las Cuatro Milpas Restaurant Closure 2747523 📰 Blackened Cod Just Crushed Expectationswatch This Hidden Culinary Secret 4594155 📰 Scrub Mommy Vs Scrub Daddy 5412365 📰 Open Office Mac Os X Download 1660920 📰 Secured Credit Cards Bad 1720123 📰 Captain Hydra Unleashed The Epic Quest That Shocked Fans Forever 3936264 📰 Unlock Bear Drawing Easedraw Your Favorite Bear Fast Perfectly Every Time 522015 📰 Online Simulator 5648639 📰 Discover The Secret Power Of Lea Y Carbon You Wont Believe Burns Like Fire 7181581 📰 Boost Workplace Efficiency How Drop Down Validation Transforms Your Excel Data 2173575 📰 Revolutionize Manufacturing How Microsoft Dynamics Transforms Your Business Today 1817816 📰 Applovin Revenue 9023006 📰 Standard Deductions 1941065