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📰 Therefore, the number of ways to arrange the participants around the table is \(\boxed{720}\).Question: An equilateral triangle-shaped solar panel array has an area of $ 36\sqrt{3} \, \text{cm}^2 $. If each side is reduced by 4 cm, by how many square centimeters does the area decrease? 📰 Solution: The area of an equilateral triangle is given by $ \frac{\sqrt{3}}{4} s^2 $, where $ s $ is the side length. Setting $ \frac{\sqrt{3}}{4} s^2 = 36\sqrt{3} $, we solve for $ s^2 = 144 $, so $ s = 12 \, \text{cm} $. The new side length is $ 12 - 4 = 8 \, \text{cm} $. The new area is $ \frac{\sqrt{3}}{4} \times 8^2 = 16\sqrt{3} \, \text{cm}^2 $. The decrease in area is $ 36\sqrt{3} - 16\sqrt{3} = 20\sqrt{3} \, \text{cm}^2 $. \boxed{20\sqrt{3}} 📰 Question: A spherical data storage unit has a radius of $ y $ units, and a hemispherical backup dome has a radius of $ 3y $ units. What is the ratio of the storage unit's volume to the backup dome's volume? 📰 Culligan Missoula Mt 6305522 📰 Ant Life Roblox 5937164 📰 Create A Checking Account Online 4446594 📰 Agnes Irwin School 4044728 📰 This Unseen Killer Is Realdiscover The Terrifying Truth Behind Slenderman 8955952 📰 How To Compose An Email 3345697 📰 Narcissistic Parent 5512797 📰 Unlock Endless Fun For Freeplay The Best Web Games Now 5218675 📰 How Long Is Mcdonalds Breakfast Open 8631798 📰 Car Drifting Game 995176 📰 The Explosive Growth Of Asias Population Heres Why Its Shaping Global Futures 253799 📰 Breakthrough Analysis Chf Surges Dollar Fallsthis Secret Drives Global Markets 5159269 📰 3 Unlock Your Windows Xp Account Fast The Ultimate Guide To Password Reset 8898126 📰 Notre Dame Tuition 2732880 📰 Youll Never Believe What Happened When She Gave Her Fidget Ring Awayyou Wont Let Her Back 1148595