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Home » L’aire non couverte par le cercle est \(100 - 25\pi\). - IQnection

L’aire non couverte par le cercle est \(100 - 25\pi\). - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 So \( k = 0, 1, 2, \dots, 21 \) → total of \( 22 \) values.

📌 Thus, the number of such integers is \( \boxed{22} \).Question: What is the base-ten number represented by the base-eight number $ 321_8 $?

📌 Solution: To convert $ 321_8 $ to base ten, we expand it using powers of 8:

📌 \cdot 8^2 + 2 \cdot 8^1 + 1 \cdot 8^0 = 3 \cdot 64 + 2 \cdot 8 + 1 = 192 + 16 + 1 = 209

📌 Thus, the base-ten representation is $ \boxed{209} $.

📌 Question: What is the sum of all of the positive odd divisors of $ 180 $?

📌 Solution: First, factor $ 180 = 2^2 \cdot 3^2 \cdot 5 $. To find only the odd divisors, we ignore the factor of 2 and consider only $ 3^2 \cdot 5 $.

📌 The odd divisors of 180 are the divisors of $ 3^2 \cdot 5 = 45 $.

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