Tom is flying a kite at the end of a 500-foot string. His friend Kathy is standing directly under the kite 300 feet away from Tom.How high is the kite flying?
Answer(s): C
Visualize a triangle, where the string represents the hypotenuse and the line between Tom and Kathy represents one of the legs. The Pythagorean theorem states that if one knows the length of two sides of a triangle, the length of the third side can be determined, using the formula a2 + b2 = c2. In this case, 3002 + b2 = 5002.90,000 + b2 = 250,000b2 = 250,000 90,000b2 = 160,000b = 160,000b = 400
Amy wants to fence in a yard using 400 feet of fencing.If she wants the yard to be 30-feet wide, how long will it be?
Answer(s): A
The formula used to determine the perimeter of a rectangle is P = 2(L + W). The width is 30, and the parameter is 400.400 = 2(L + 30)400 = 2L + 60340 = 2LL = 170
A three-digit code must be used to access a computer file. The first digit must be an A or a B. The second digit must be a number between 0 and 9. The final digit is a single letter from the alphabet from A to Z.How many possible access codes can there be?
There are 2 possibilities for the first digit (A or B), 10 possibilities for the second digit (0 to 9) and 26 possibilities for the third digit. Using the multiplication principle, 2 × 10 × 26 = 520
The sun is 93 million miles from Earth and light travels at a rate of 186,000 miles per second.How long does it take for light from the sun to reach the Earth?
Answer(s): D
Use the time formula T = S ÷ V, where T = time, S = displacement, V = velocity. Time (T) = 93 million miles (S) ÷ 186,000 miles per second (V) = 500 second. 500 second = 81/2 minutes.
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