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| For The Mathematically Inclined |
Anil Saigal
01/10/2015
Problem #1
A fish weighs ten pounds plus half of its weight. How much does it weigh?
Problem #2
An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?
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Solutions from 01/15/2015
Problem #1
The angle of elevation of a hot air balloon, climbing vertically, changes from 25 degrees at 10:00 am to 60 degrees at 10:02 am. The point of observation of the angle of elevation is situated 300 meters away from the take off point. What is the upward speed, assumed constant, of the balloon? Give the answer in meters per second and round to two decimal places.
Solution:
3.16 m/s.
Solution:
3.16 m/s.
Problem #2
A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?
Solution:
20.
Solution:
20.
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