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Home » Expand: \( 2w^2 + 4w = 104 \) - inBeat

Expand: \( 2w^2 + 4w = 104 \) - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 The formula for the sum \( S_n \) of the first \( n \) terms is \( S_n = \frac{n}{2} (2a + (n-1)d) \).

📌 \( S_{20} = \frac{20}{2} (2 \times 5 + 19 \times 3) = 10 (10 + 57) = 10 \times 67 = 670 \).

📌 A sphere has a surface area of 314 square centimeters. Find its radius. Use the formula \( A = 4\pi r^2 \).

📌 Given \( A = 314 \), solve for \( r \):

📌 \( 4\pi r^2 = 314 \),

📌 \( r^2 = \frac{314}{4\pi} = \frac{314}{12.5664} \approx 25 \),

📌 \( r = \sqrt{25} = 5 \) cm.

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