Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.Find sin A and cos A.

A. sin A = ; cos A = 
B. sin A = ; cos A = 
C. sin A = ; cos A = 
D. sin A = ; cos A = 


Answer: D

Mathematics

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Solve the problem.The inequality |T - 38| ? 17 describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret the inequality.

A. 15 ? T; The monthly averages are always greater than or equal to 
B. 15 ? T ? 61; The monthly averages are always within 
C. 21 ? T ? 55; The monthly averages are always within 
D. T ? 55; The monthly averages are always less than or equal to 

Mathematics

From a point on the floor the angle of elevation to the top of a door is 48º, while the angle of elevation to the ceiling above the door is 62º. If the ceiling is 12 feet above the floor, what is the vertical dimension of the door (see the figure)? Apply the rules regarding the use of significant digits when determining your answer. ? ? Vertical dimension of door = __________ ft

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the system of equations using Cramer's Rule if it is applicable. If Cramer's Rule is not applicable, say so.

A. x = 9, y = 6, z = 2; (9, 6, 2) B. x = 10, y = 4, z = 2; (10, 4, 2) C. x = 6, y = 2, z = 6; (6, 2, 6) D. x = 9, y = -6, z = -2; (9, -6, -2)

Mathematics

Find an equation of the line passing through the given point with the given slope, m. (0, 3); m = 

A. y = - x + 
B. y = x - 
C. y = - x + 3
D. y = x + 3

Mathematics