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Math B Regents Exam Questions by Type - 4 Point Free Response Page 6
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32. A board game has a spinner on a circle that
has five equal sectors, numbered 1, 2, 3, 4,
and 5, respectively. If a player has four spins,
find the probability that the player spins an
even number no more than two times on those
four spins.
33. The accompanying diagram shows the plans
for a cell-phone tower that is to be built near a
busy highway. Find the height of the tower,
to the nearest foot.
36. A ship at sea heads directly toward a cliff on
the shoreline. The accompanying diagram
shows the top of the cliff, D, sighted from two
locations, A and B, separated by distance S. If
m∠ DAC =30, m∠ DBC =45, and S = 30
feet, what is the height of the cliff, to the
nearest foot?
34. Find, to the nearest degree, all values of θ in
the interval 0° < θ < 360° that satisfy the
equation 3cos2θ
+ sin θ − 1=
0.
35. On the accompanying grid, sketch the graphs
x
of y = 2 and 3y
= 7x+ 3 over the interval
−3≤ x ≤4. Identify and state the coordinates
of all points of intersection.
37. The number of people, y, involved in
recycling in a community is modeled by the
function y = 90 3x
+ 400 , where x is the
number of months the recycling plant has
been open.
Construct a table of values, sketch the
function on the grid, and find the number of
people involved in recycling exactly 3 months
after the plant opened.
After how many months will 940 people be
involved in recycling?