Tom is leading a workshop for 15 people. He wants each person to meet every other person (shake hands once). How many handshakes occur?
?
A. 213
B. 105
C. 98
D. 210
E. 108
Answer: B
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Determine if the given polar coordinates represent the same point.(3, ?/3), (-3, -2?/3)
A. No B. Yes
Draw the angle in standard position and state the quadrant in which it lies.585°
A. quadrant I
B. quadrant III
C. quadrant IV
D. quadrant II
Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 4(3 - ex), x > 0; relative to f(x) = ex
A. Stretched horiz; reflected across y-axis;
moved down 3 unit(s)
B. Stretched vert; reflected across y-axis;
moved up 3 unit(s)
C. Stretched vert; reflected across x-axis;
moved up 12 unit(s)
D. Stretched horiz; reflected across x-axis;
moved down 12 unit(s)
Solve the problem.To find the height of this tree, Sarah marked the tree at eye level, 1.8 meters above the ground. She measured 36 m from the base of the tree and then held a 5-cm ruler vertically in front of her eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Sarah found that the distance from her eye to the ruler was 4.8 centimeters. What was the height of the tree? Round to the nearest unit.
A. 35 m B. 39 m C. 37 m D. 41 m