Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 4

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8 The accompanying diagram shows a child’s spin toy that is constructed
Use this space for
from two chords intersecting in a circle. The curved edge of the larger
computations.
shaded section is one-quarter of the circumference of the circle, and
the curved edge of the smaller shaded section is one-fifth of the
circumference of the circle.
x
What is the measure of angle x?
(1) 40°
(3) 81°
(2) 72°
(4) 108°
4
5
9 If sin A = , tan B =
, and angles A and B are in Quadrant I, what is
5
12
the value of sin (A + B)?
63
33
(1)
(3)
65
65
63
33
(2) –
(4) –
65
65
10 If the tangent of an angle is negative and its secant is positive, in which
quadrant does the angle terminate?
(1) I
(3) III
(2) II
(4) IV
2
11 The equation 2x
+ 8x + n = 0 has imaginary roots when n is equal to
(1) 10
(3) 6
(2) 8
(4) 4
[4]
Math. B – Aug. ’04

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