Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 6

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16 Sam is designing a triangular piece for a metal sculpture. He tells
Use this space for
Martha that two of the sides of the piece are 40 inches and 15 inches,
computations.
and the angle opposite the 40-inch side measures 120°. Martha decides
to sketch the piece that Sam described. How many different triangles
can she sketch that match Sam’s description?
(1) 1
(3) 3
(2) 2
(4) 0
2
17 If f(x) = x + 1 and g(x) = x
– 1, the expression (g ° f)(x) equals 0 when
x is equal to
(1) 1 and –1
(3) –2, only
(2) 0, only
(4) 0 and –2
18 If θ is a positive acute angle and sin θ = a, which expression represents
cos θ in terms of a?
1
(1)
(3)
a
a
1
(2)
2
(4)
1 –
a
a
1 –
2
4
6 4
19 The expression
is equivalent to
16
a b
2
2
(1) 2a
b
(3) 4a
b
3
3
2
(2) 2a b
(4) 4a b
2
and ∠H ≅ ∠K.
20 In the accompanying diagram,
bisects
HK
IL
K
I
J
L
H
What is the most direct method of proof that could be used to prove
▲ ▲
HIJ ≅
▲ ▲
KLJ?
(1) HL ≅ HL
(3) AAS ≅ AAS
(2) SAS ≅ SAS
(4) ASA ≅ ASA
[6]
Math. B – June ’04

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