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through the fire through the flames - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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🔥 Popular Posts

Question:** An equilateral triangle has a perimeter of 36 cm. If each...
An equilateral triangle with perimeter 36 cm has side length:
Initial area:
A_1 = \frac{\sqrt{3}}{4} \cdot 12^2 = \frac{\sqrt{3}}{4} \cdot 144 = 3...
New side length is \(12 + 2 = 14\) cm, so the new area \(A_2\) is:
A_2 = \frac{\sqrt{3}}{4} \cdot 14^2 = \frac{\sqrt{3}}{4} \cdot 196 = 4...
Increase in area:
\Delta A = A_2 - A_1 = 49\sqrt{3} - 36\sqrt{3} = 13\sqrt{3} \text{ cm}...
Thus, the area increases by \(\boxed{13\sqrt{3}}\) square centimeters.
Question:** The radius of a sphere is tripled. By what factor does the...

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