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📰 Solution: \( 225^\circ \) lies in the third quadrant, where sine is negative. Reference angle: \( 225^\circ - 180^\circ = 45^\circ \). Thus, \( \sin 225^\circ = -\sin 45^\circ = -\frac{\sqrt{2}}{2} \). \boxed{-\dfrac{\sqrt{2}}{2}} 📰 Question: A tidal energy system uses a rectangular frame with dimensions 8 meters by 15 meters. If each dimension is reduced by 3 meters, by how many square meters does the area decrease? 📰 Solution: Original area: \( 8 \times 15 = 120 \) m². New dimensions: \( 8 - 3 = 5 \) meters and \( 15 - 3 = 12 \) meters. New area: \( 5 \times 12 = 60 \) m². The decrease is \( 120 - 60 = 60 \) m². \boxed{60}Question: A geologist is studying the periodic patterns of seismic waves and notes that a specific wave pattern repeats every 24 seconds. If the current time is 2025-06-28 18:21:16, what is the smallest positive time (in seconds) after 18:21:16 when the wave pattern will repeat, such that this time is congruent to 6 (mod 11)? 📰 Closest Hollister 3516790 📰 Best Screenwriting Software 1098813 📰 From Idea To Masterplan How The Young Architects Program Builds Real Design Stars 9018966 📰 Download Windows Server 2025 Iso 64 Bit 7983243 📰 When Does Daylight Savings Time End 5798714 📰 Panthers Tribe Falls To Cowboys In Shocking Clash Of Champions 9148274 📰 Roblox Program 7500726 📰 Sephora Shares Are Surgeyou Wont Believe How Much Investors Are Earning 251498 📰 Trader Joes Salads 4074157 📰 Mike Lange 7164935 📰 The Landlady Noona Quietly Threatened Evictionher Hidden Agenda Was Shocking 3998359 📰 Cowboys Play Football Today 8955492 📰 You Wont Believe What Happens When You Play Razzles Like This 1779293 📰 Youre Drinking Kava Nowand Its Doing What No Supplement Ever Could 8472934 📰 5Veldy Reload Your Look The Ultimate Clickbait Guide To Changing Mc Skins Now 1597992