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To find the value of x to the nearest hundredth, we need to solve the equation:
sin(38) = 12/x
To do so, we can cross-multiply:
x*sin(38) = 12
After that, divide both sides by sin(38):
x = 12 / sin(38)
Using a calculator, we find:
x ≈ 19.47
Rounding to the nearest hundredth, the value of x is approximately 19.47. Thus, the correct answer is 19.49.