Calculate the arc length of the indicated portion of the curve r(t).Following the curve  r(t) = 12ti  + (5 cos t)j + (5 sin t)k in the direction of increasing of arc length, find the point that lies 65? units away from the point where 

A. (60?, -5, 0)
B. (60?, 0, -5)
C. (60, -5, 0)
D. (60?, 0, 0)


Answer: A

Mathematics

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Find the perimeter and interior angles for the following parallelogram, given that ?A = 114?, 23", and  10". ?  ? ?

A. ?P = 66", ?D = 114?, ?C = ??B = 66?. B. ?P = 33", ?D = 114?, ?C = ??B = 66?. C. ?P = 66", ?D = 114?, ?C = ??B = 76?. D. ?None of the above. E. ?P = 66", other angles cannot be found.

Mathematics

Solve the equation.4x + 6(-2x - 6) = -35 - 9x

A. - 1
B. - 71
C.
D. 1

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Find the present value for the loan on the indicated date. Assume the value of money is 12%. Round to the nearest cent.Amount: $10,214.60Rate (ordinary): 13.4%Length of loan: 166 daysLoan made: April 3Find present value on: May 11

A. $10,623.86 B. $10,401.93 C. $10,714.40 D. $10,699.66

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Use Heron's formula to find the area of the triangle. Round to the nearest square unit.a = 11 meters, b = 15 meters, c = 6 meters

A. 14 square meters B. 58 square meters C. 56 square meters D. 28 square meters

Mathematics