Solve the problem. Round to two decimal places if needed.Find the length of the arc intercepted by a central angle of ? = 240° in a circle of radius r = 12.2 inches.
A. 51.4 inches
B. 51.3 inches
C. 51.2 inches
D. 51.1 inches
Answer: D
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Rewrite the quadratic function in standard form by completing the square.f(x) = x2 + 6x - 4
A. f(x) = (x + 3)2 - 13 B. f(x) = (x + 3)2 + 13 C. f(x) = (x + 6)2 + 40 D. f(x) = (x + 6)2 - 40
Rewrite the expression in terms of exponentials and simplify the results.ln + ln (cosh 9x + sinh 9x)
A. 11x B. 7 C. ln (e9x - e-2x) D. 7x
If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (4t2 - 1)i + j
A. v = (8)i + j
B. v = (8t)i - j
C. v = (8t)i + j
D. v = i + (8t)j
Solve the problem.An airplane is flying in the direction 71° west of north at 882 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.
A.
B.
C.
D.