Problem 1 :
In triangle RST above, point W (not shown) lies on RT. What is the value of cos(∠RSW) – sin(∠WST)?
Solution :
Problem 2 :
64x2 – (16a + 4b)x + ab = 0
In the given equation, a and b are positive constants. The sum of the solutions to the equation is k(4a + b), where k is a constant. What is the value of k?
Solution :
Problem 3 :
The value of collectible comic book increased by 167% from the end of 2011 to the end of 2012 and then decreased by 16% from the end of 2012 to the end of 2013. What was the net percentage increase in the value of the collectible comic book from the end of 2011 to the end of 2013?
A) 124.28%
B) 140.28%
C) 151.00%
D) 209.72%
Solution :
Problem 4 :
The expression above is equivalent to axb, where a and b are constants and x > 1. What is the value of a + b?
Solution :
Problem 5 :
In the figure above, PR is tangent to circle O at point P and the length of PR is 12. If the value of sin∠R is 0.6, what is the radius of the circle?
A) 9
B) 12
C) 16
D) 20
Solution :
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