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\( b = 12 \) cm
\[ c^2 = 9^2 + 12^2 \]
\[ c^2 = 81 + 144 \]
\[ c^2 = 225 \]
\[ c = \sqrt{225} \]
\[ c = 15 \]
The length of the hypotenuse is 15 cm.
A train travels 150 miles at 50 mph, then another 200 miles at 75 mph. Calculate the total travel time.
The time \( t_1 \) for the first segment is:
\[ t_1 = \frac{150 \, \text{miles}}{50 \, \text{mph}} = 3 \, \text{hours} \]