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Math B Regents Exam Questions by Type - Multiple Choice Page 8
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54. If x is an acute angle and sin x = 12 ,
13 then
cos2x equals
[A] − 25
169
[C] − 119
169
[B] 119
169
[D]
25
169
55. If θ is a positive acute angle and
3
sin 2θ = , then (cosθ
+ sin θ)
2 equals
2
3
[A] 30° [B] 1+ [C] 60° [D] 1
2
56. Which graph shows that soil permeability
varies inversely to runoff?
[A]
[B]
59. The expression log
3( 8 − x ) is defined for all
values of x such that
[A] x > 8 [B] x ≤ 8
[C] x < 8 [D] x ≥ 8
60. What is the sum of 2− − 4 and − 3+ −16
expressed in simplest a + bi form?
[A] − 1+
12i [B] − 14 + i
[C] − 1+
i 20 [D] − 1+
2i
61. If f( x)
= 5x
2 and g( x) = 2 x,
what is the
value of (f g)(8)?
[A] 16 [B] 80 [C] 1280 , [D] 8 10
62. The accompanying diagram shows a 24-foot
ladder leaning against a building. A steel
brace extends from the ladder to the point
where the building meets the ground. The
brace forms a right angle with the ladder.
[C]
[D]
57. If sin θ = 5 ,
3
then cos2θ equals
[A] 1 [B] − 1 [C] − 1 [D] 1 3 9 3 9
2
58. The roots of the equation x −3x− 2= 0 are
[A] imaginary
[B] real, rational, and unequal
[C] real, irrational, and unequal
[D] real, rational, and equal
If the steel brace is connected to the ladder at
a point that is 10 feet from the foot of the
ladder, which equation can be used to find the
length, x, of the steel brace?
2 2 2
[A] 10 + x = 24 [B] 10 x
=
x 24
2 2 2
[C] 10 + x = 14 [D] 10 x
=
x 14