Type - JMap
Type - JMap
Type - JMap
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Math B Regents Exam Questions by <strong>Type</strong> - 2 Point Free Response Page 7<br />
www.jmap.org<br />
72. The equation V = 20 C+<br />
273 relates speed<br />
of sound, V, in meters per second, to air<br />
temperature, C, in degrees Celsius. What is<br />
the temperature, in degrees Celsius, when the<br />
speed of sound is 320 meters per second?<br />
[The use of the accompanying grid is<br />
optional.]<br />
74. Express the following rational expression in<br />
simplest form:<br />
2<br />
9 − x<br />
2<br />
10x<br />
−28x−6<br />
75. The accompanying diagram shows a<br />
semicircular arch over a street that has a<br />
radius of 14 feet. A banner is attached to the<br />
arch at points A and B, such that AE = EB = 5<br />
feet. How many feet above the ground are<br />
these points of attachment for the banner?<br />
73. The profit a coat manufacturer makes each<br />
day is modeled by the equation<br />
2<br />
Px ( )=− x + 120x−2000, where P is the<br />
profit and x is the price for each coat sold.<br />
For what values of x does the company make<br />
a profit? [The use of the accompanying grid<br />
is optional.]<br />
76. In the accompanying diagram, PA is tangent<br />
to circle O at A, secant PBC is drawn,<br />
PB = 4, and BC = 12. Find PA.<br />
77. A landscape architect is designing a triangular<br />
garden to fit in the corner of a lot. The corner<br />
of the lot forms an angle of 70°, and the sides<br />
of the garden including this angle are to be 11<br />
feet and 13 feet, respectively. Find, to the<br />
nearest integer, the number of square feet in<br />
the area of the garden.
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