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A ladder 10 meters long leans against a vertical wall. If the bottom of the ladder slides away from the wall at 1 meter per second, how fast is the top sliding down when the bottom is 6 meters from the wall?
A cone has a base radius of 4 cm and a height of 9 cm. If the cone is sliced horizontally at a height of 6 cm, what is the radius of the smaller cone formed?
The radius of the smaller cone is approximately 2.67 cm.
A tank contains 1000 liters of a 15% salt solution. How many liters of pure water must be added to dilute it to a 10% solution?
These questions cover a range of mathematical concepts, including geometry, algebra, calculus, and physics, suitable for advanced high school students.Question: What is the smallest three-digit number that is divisible by 19 and 23, representing the number of seismic events monitored in a year?
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