A triangle has sides of lengths 14 cm and 50 cm. If the triangle is a right triangle, which of the following could be the length of the third side?
a. 26 cm
c. 48 cm
b. 36 cm
d. 64 cm
[Ques. 2] If j = 90 q, what is the value of sin2 j + sin2 q?
a. 0
c. -1
b. 1
d. The answer depends on q.
[Ques. 3] A right triangle has sides 5.0 m, 12 m, and 13 m. The largest angle not 90 of this triangle is nearest:
a. 21.
b. 23.
c. 67.
d. Not attainable since this is not a right triangle.
[Ques. 4] A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 170 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 51. How high is the fountain?
a. 17 m
c. 30 m
b. 23 m
d. 33 m
[Ques. 5] Consider the cosine of any angle between 35 and 40. If the angle were doubled, what would happen to the cosine of the angle.
a. It would halve.
b. It would decrease to less than half its original value.
c. It would decrease but be more than half its original value.
d. In different cases, it could do any of the above.
[Ques. 6] For which of the values below is x > x3?
a. x = -1.5
c. x = 1.0
b. x = 0
d. x = 1.5
[Ques. 7] Note the expression: y = A/x2 . Which statement is most consistent with this expression?
a. y is less than A
b. if x is doubled, y is multiplied by a factor of four
c. if x is halved, y is multiplied by a factor of four
d. y is greater than x
[Ques. 8] Note the expression: y = x2 . Which statement is most consistent with this expression?
a. if y doubles, then x quadruples
c. if x doubles, then y doubles
b. y is greater than x
d. if x doubles, then y quadruples
[Ques. 9] Areas always have dimensions _____ while volumes always have dimensions _____.
a. m2, m3
b. L2, L3
c. Both a and b are correct.
d. No answer is correct because of the always..
[Ques. 10] Suppose an equation relating position, x, to time, t, is given by x = bt3 + ct4, where b and c are constants. The dimensions of b and c are respectively:
a. T3, T4.
c. L/T3, L/T4.
b. 1/T3, 1/T4.
d. L2T3, L2T4.
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