\( h^2 + 25 = 169 \), so \( h^2 = 144 \), \( h = 12 \) feet.
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- So \( 15h = 108 \), \( h = 7.2 \) cm.
- A ladder 13 feet long leans against a wall, with its base 5 feet from the wall. How high up the wall does the ladder reach?
- Using the Pythagorean theorem: \( h^2 + 5^2 = 13^2 \).
- A bag contains 5 red, 7 blue, and 8 green marbles. Two marbles are drawn without replacement. What is the probability both are green?
- Total marbles: \( 5 + 7 + 8 = 20 \).
- Probability first green: \( \frac{8}{20} = \frac{2}{5} \).
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