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Solving for \( r \), \( r = \frac{C}{2\pi} = \frac{31.4}{2 \times 3.14159} \approx \frac{31.4}{6.28318} \approx 5 \).
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A box contains 3 red, 4 blue, and 5 green marbles. If one marble is drawn at random, what is the probability it is not blue?
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Total marbles = \( 3 + 4 + 5 = 12 \).
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Non-blue marbles = \( 3 + 5 = 8 \).
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Probability = \( \frac{8}{12} = \frac{2}{3} \).
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If the function \( f(x) = 3x^2 - 2x + 1 \), find \( f(2) \).
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Substitute \( x = 2 \): \( f(2) = 3(2)^2 - 2(2) + 1 = 12 - 4 + 1 = 9 \).
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Use the Pythagorean theorem: \( \text{base}^2 + 8^2 = 10^2 \).
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\( \text{base}^2 = 100 - 64 = 36 \).
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Base = \( \sqrt{36} = 6 \) meters.
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