A triangle has sides of lengths 7, 24, and 25. Is it a right triangle? If so, what is its area?
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- If a number is increased by 25% and then decreased by 20%, what is the final value if the original number was 80?
- Increase by 25%: \( 80 \times 1.25 = 100 \).
- Decrease by 20%: \( 100 \times 0.80 = 80 \).
- Check using Pythagorean theorem: \( 7^2 + 24^2 = 49 + 576 = 625 = 25^2 \).
- A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. How many cubic meters of water does it hold?
- Volume = \( \pi r^2 h = \pi \times 3^2 \times 5 = 45\pi \).
