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Home » \( 4w = 28 \) - ToelettAPP

\( 4w = 28 \) - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solution: The area $ A $ of a sector of a circle with radius $ r $ and central angle $ \theta $ (in degrees) is:

📌 A = \frac{\theta}{360} \cdot \pi r^2

📌 Substitute $ r = 12 $, $ \theta = 60^\circ $:

📌 A = \frac{60}{360} \cdot \pi \cdot 144 = \frac{1}{6} \cdot 144\pi = 24\pi

📌 The area of the visual sector is $ \boxed{24\pi} $ m².Question: A biologist studying amphibian breeding patterns observes that a certain species lays eggs in clutches that follow a number pattern: each clutch size is one more than a multiple of 7, and also one more than a multiple of 11. What is the smallest such clutch size greater than 50?

📌 We are given that the clutch size $ n $ satisfies:

📌 n \equiv 1 \pmod{7} \quad \text{and} \quad n \equiv 1 \pmod{11}

📌 This implies:

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