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A triangular plot of land has sides measuring 7 meters, 24 meters, and 25 meters. Is it a right triangle? If so, calculate its area.
Check using Pythagorean theorem: \(7^2 + 24^2 = 25^2\)
\(49 + 576 = 625\), which is true
Area = \(\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 7 \times 24 = 84\) square meters
A scientist mixes 40 mL of a 10% saline solution with 60 mL of a 20% saline solution. What is the concentration of the resulting solution?
Total saline from 10% solution = \(0.10 \times 40 = 4\) mL
Total saline from 20% solution = \(0.20 \times 60 = 12\) mL
Total volume = 40 + 60 = 100 mL
Total saline = 4 + 12 = 16 mL
Concentration = \((16/100) \times 100 = 16\%\)