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Home » Solution: Use Heron’s formula. The semi-perimeter is: - Upplift

Solution: Use Heron’s formula. The semi-perimeter is: - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Thus, the minimum number is $1$, since the full hall can be covered by a single valid rectangle.

📌 Question: A palynologist finds that $ \frac{2}{5} $ of the pollen grains in a sample are from coniferous trees, $ \frac{1}{3} $ from deciduous trees, and the rest from grasses. What fraction of the sample consists of grass pollen?

📌 Solution: Let the total be 1. Add the fractions of coniferous and deciduous:

📌 \frac{2}{5} + \frac{1}{3} = \frac{6}{15} + \frac{5}{15} = \frac{11}{15}

📌 The fraction from grasses is:

📌 - \frac{11}{15} = \frac{15}{15} - \frac{11}{15} = \frac{4}{15}

📌 Question: The daily rainfall (in inches) in a NYC monitoring station over five consecutive days is modeled by the values $ \frac{1}{4}, \frac{3}{8}, \frac{5}{16}, x, \frac{1}{2} $. If the average rainfall is $ \frac{5}{8} $ inches, solve for $ x $.

📌 Solution: The average of five values is $ \frac{5}{8} $, so the total rainfall is:

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