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Home » ight) + 4\left(rac1 + \cos 2x2 - Get link 4share

ight) + 4\left(rac1 + \cos 2x2 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Annual decay = 5% → retention = 95% = 0.95

📌 After 1 year: 80 × 0.95 = 76

📌 After 2 years: 76 × 0.95 = 72.2 → ≈72.2

📌 After 3 years: 72.2 × 0.95 = 68.59 → round to nearest whole = 69

📌 Use exact: 80 × (0.95)^3 = 80 × 0.857375 = 68.59 → approximately 69

📌 Since animals are whole, and question implies real count, report as 69

📌 A mammalogist observes that polar bear cubs reduce their foraging range by 12.5% each month as they mature. If a cub starts with a 64 km² range, what will it be after 2 months?

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Use the Law of Cosines: \( c^2 = a^2 + b^2 - 2ab\cos C \), where \( a...
\( c^2 = 13^2 + 15^2 - 2 \cdot 13 \cdot 15 \cdot 0.5 = 169 + 225 - 195...
So, \( c = \sqrt{199} \approx 14.106 \), but we keep exact: \( \sqrt{1...
However, for exact boxed answer: \( \sqrt{199} \) is simplest.
But compute: \( 169 + 225 = 394 \), \( 2 \cdot 13 \cdot 15 = 390 \), \...
Thus, \( c = \sqrt{199} \).
#### \(\sqrt{199}\)
A circle is inscribed in an equilateral triangle with side length 12 c...
In an equilateral triangle, the inradius \( r = \frac{s\sqrt{3}}{6} \)...
So, \( r = \frac{12\sqrt{3}}{6} = 2\sqrt{3} \).

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