Solve the problem.For two connected gears, the relation
=
holds, where d is the diameter of the gear and N is the number of teeth. Find N1 if d1 = 2.5 in., d2 = 2.292 in., and N2 = 55. If necessary, round to the nearest whole tooth.
A. 70 teeth
B. 120 teeth
C. 7 teeth
D. 60 teeth
Answer: D
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Match the inequality with its correct representation.{x | -3 ? x < 8}
A. (-3, 8] B. [-3, 8] C. [-3, 8) D. (-3, 8)
Solve the problem.In 2000 the population of a midwest city was 18,000. By 2010 it had grown to 22,000. If it continues to grow at the same rate, what will the population be in 2027? Round to the nearest whole number.
A. 23,100 B. 28,800 C. 26,500 D. 24,800
Solve the problem.The equation of a line passing through two distinct points (x1, y1) and (x2, y2) is given by = 0. Use the determinant to write an equation for the line passing through
and
. Express the line's equation in standard form.
A. 5x - 4y + 10 = 0 B. -10x + 2y - 30 = 0 C. -5x - 2y - 20 = 0 D. 10x - 2y - 30 = 0
Find the exact value of the indicated trigonometric function of ?.tan ? = - , 90°< ? < 180°Find cos ?.
A.
B. -8
C. -
D.