Solve the problem.The magnitude and direction of two forces acting on an object are 35 pounds, , and 55 pounds, S30°E, respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.

A.  = 57.04; ? = -23.6°
B.  = 43.30; ? = 2.7°
C.  = 49.17; ? = -11.3°
D.  = 65.19; ? = -7.5°


Answer: A

Mathematics

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Find the mode for each data set.5, 9, 44, 3, 2, 8, 87, 1, 4, 16

A. No mode B. 9 C. 17.3 D. 8

Mathematics

Answer the following statement(s) true (T) or false (F)

It was not until near the beginning of the twentieth century that having students produce their own original geometric proofs became a widespread practice.

Mathematics

Solve the problem.The following bar graph shows the average annual income for single mothers.i) Determine a linear function that can be used to estimate the average yearly income for single mothers from 1995 through 2000. Let t represent the number of years from 1995. (In other words, 1995 corresponds to t = 0, 1996 corresponds to t = 1, and so on.)ii) Using the function from part i, determine the average yearly income for single mothers in 1998.iii) Assuming this trend continues, determine the average yearly income for single mothers in 2010.iv) Assuming this trend continues, in which year will the average yearly income for single mothers reach

$33,000? A.

i)I(t) = 775.8t + 24,269
ii) $26,596.40
iii) $35,906.00
iv) 2006
B.
i)I(t) = 775.8t + 24,269
ii) $26,596.40
iii) $35,906.00
iv) 2007
C.
i)I(t) = 775.8t + 24,269
ii) $27,372.20
iii) $35,906.00
iv) 2006
D.
i)I(t) = 770.8t + 24,269
ii) $26,581.40
iii) $35,831.00
iv) 2006

Mathematics

Find Pk+1 from the given statement Pk.Pk: (k + 1)(k2 - k + 1) = k3 + 1

A. Pk+1: (k + 2)[(k + 1)2 - k] = k3 + 2 B. Pk+1: (k + 2)[(k + 1)2 - k + 2] = (k + 1)3 + 1 C. Pk+1: (k + 2)[(k + 1)2 - k + 2] = k3 + 2 D. Pk+1: (k + 2)[(k + 1)2 - k] = (k + 1)3 + 1

Mathematics