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📰 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? 📰 Solution: The volume of a sphere is $ \frac{4}{3}\pi y^3 $, and the volume of a hemisphere is $ \frac{2}{3}\pi (3y)^3 = \frac{2}{3}\pi \times 27y^3 = 18\pi y^3 $. The ratio is $ \frac{\frac{4}{3}\pi y^3}{18\pi y^3} = \frac{4}{54} = \frac{2}{27} $. \boxed{\dfrac{2}{27}} 📰 Sanchez Bezos 4278416 📰 What Are Tax Brackets 1205185 📰 Permainan Gangster 2519325 📰 When Do Gta Vi Come Out 4321504 📰 Youll Cry From Joy Top Cute Games Everyones Before Playing 1080279 📰 Hdpe Outdoor Furniture 223641 📰 This Simple Trick Will Make The 6 Multiplication Table Stick Forever Watch Your Grades Soar 1105874 📰 How To Log Into Oracle Textura Like A Proyoure Not Preparing For The Surprise Inside 8754056 📰 5Chaotic Magic Unleashed Kuramas Fire And Fury Explained Like Never Before 4262641 📰 This Four Poster Bed Will Transform Your Bedroom Into Royal Luxuryyou Wont Believe How Stylish It Is 2570722 📰 Banks Near Me That Are Open 6479681 📰 Swiftnote The Secret Tool That Saves You 5 Hours A Day Forever 8624731 📰 Wr Free Agents 5086985 📰 Diabetes Insipidus Treatment 5622701 📰 Indiana Basketball University 5677005