Write as a trigonometric function of a single angle, then evaluate. Round to the nearest ten-thousandth when necessary.
A. tan 44° ? 0.9657
B. tan 14° ? 4.0108
C. tan 14° ? 0.2493
D. tan(-14°) ? -0.2493
Answer: C
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Solve the compound inequality. Graph the solution set and write the solution in interval notation.x ? 1 and x ? -2
A. (-?, -2] ? [1, ?)
B. (-?, -2]
C. [-2, ?)
D. [-2, 1]
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5
A. log53 +
log5x
B. log53 + log5x
C. log53x
D. log5 + log5
Solve the system of equations.3x + 3y + 3z = 39x + 10y + 11z = 126x + 7y + 8z = 9
A. ? B. {(-2, 3, 0)} C. {(x, y, z) ? 6x + 7y + 8z = 9} D. {(-2, 6, 0)}
Solve.A pendulum bob swings through an arc 80 inches long on its first swing. Each swing thereafter, it swings only 66% as far as on the previous swing. What is the length of the arc after 10 swings? Round your answer to two decimal places, if necessary.
A. 0.83 inches B. 475.2 inches C. 1.9 inches D. 1.25 inches