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A rectangular plot of land measures 120 meters by 80 meters. A path 2 meters wide is built around the inside perimeter. What is the area of the path?
The dimensions of the inner rectangle (excluding the path) are 116 meters by 76 meters (subtracting 4 meters from each dimension for the path).
The area of the path is the difference: 9600 - 8816 = 784 square meters.
A satellite orbits Earth in a circular path with a radius of 6,700 kilometers. If it completes one orbit in 90 minutes, what is the satellites speed in kilometers per hour?
Convert 90 minutes to hours: 90 minutes = 1.5 hours.
A chemist mixes 200 mL of a 30% alcohol solution with 300 mL of a 50% alcohol solution. What is the concentration of alcohol in the resulting mixture?
Calculate the total alcohol from each solution:
Total alcohol = 60 mL + 150 mL = 210 mL.
Total volume of the mixture = 200 mL + 300 mL = 500 mL.
A light beam travels from air (refractive index = 1.00) into glass (refractive index = 1.50) at an angle of 30 degrees. What is the angle of refraction inside the glass?