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Home » Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle: - Ready Digital AB

Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle: - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 \[ n \cdot \log(1.02) = \log(1.8) \]

📌 \[ n = \frac{\log(1.8)}{\log(1.02)} \approx 29.25 \]

📌 Since \(n\) must be a whole number, round up to 30 days.

📌 A volcanologist tracks gas emissions from a volcano. For every 5 grams of sulfur dioxide, 3 grams of carbon dioxide are emitted. If a sample releases 45 grams of sulfur dioxide, how many grams of carbon dioxide are emitted?

📌 The ratio of sulfur dioxide to carbon dioxide is 5:3.

📌 For 45 grams of sulfur dioxide: \(\frac{45}{5} = 9\) (units of the ratio)

📌 Grams of carbon dioxide = \(9 \times 3 = 27\) grams

📌 An online learning platform allows students to earn badges for completing modules. A student earns 5 badges for math, 3 badges for science, and 2 badges for technology each month. If they continue at this rate, how many total badges will they earn in 8 months?

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