Solve the problem.One rope pulls a barge directly east with a force of 50 N, and another rope pulls the barge directly north with a force of 46 N. Find the magnitude of the resultant force acting on the barge.
A. 4 N
B. 96 N
C. 2300 N
D. 68 N
Answer: D
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Provide an appropriate response.(a) Show that 
converges.(b) Show that 
? 0.0002.(c) Suppose 
is approximated by 
. Based on your answer to part (b), what is the maximum possible error?(d) Use a numerical method to estimate the value of 
/>.(e) Determine whether 
converges or diverges, and justify your answer. If it converges, estimate its value to an accuracy of at least two decimal places.
What will be an ideal response?
Find the exact value of the expression.cos 40° cos 20° - sin 40° sin 20°
A. 
B. 
C. 
D. 
Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.8x + 4y = 716x + 8y = 5
A. 
B. {(0, 0)}
C. 
D. ?
Suppose that we fit a band tightly around the earth at the equator. We wish to raise the band so that it is uniformly supported 7 ft above the earth at the equator. How much extra length would have to be added to the band (not the supports) to do this.
?
?
A. about 37 ft B. about 44 ft C. about 49 ft D. about 35 ft E. about 88 ft