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Home » The number of birds on day $ n $ is $ 3 \cdot 2^n-1 $. - Crosslake

The number of birds on day $ n $ is $ 3 \cdot 2^n-1 $. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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A_{\text{shaded}} = 100 - 25\pi
Thus, the area of the shaded region is \(\boxed{100 - 25\pi}\) square...
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}...

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