'09 TMSCA #7

[nsguy1350]

21. A square metal shee with an edge length of 4 ft is going to be made into a rectangular cistern by cutting the same size square from each of the four corners and folding up the sides. Find the maximum volume of the cistern. (nearest hundredth)
D. 4.74 ft^3
34. Point P lies in the same plane, but outside of a circle with center O. The points Q,R,S, and T lie on the circle such that Q lied on PR and T lies on PS. if m<RPS = 30 and m(arc)QT = 50, find m(arc)RS.
D. 110
43. The point (2,4) is rotated 240 clockwise about th origin to point P. Find the value of the x-coordinate of P. (nearest tenth)
A. -4.5
45. Coach Newberry stopped at David's Donuts on the way to the Shootout and purchased 3 donuts. If there are 7 types of donuts to choose from, how many ways could he select 3 donuts?
E .84
52. Find the acute angle formed by the intersection of the line [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula]. (nearest tenth)
E. 70.6

Did 51, missed 2, skipped 7 for a total of 302. Pretty good, best TMSCA test yet! Have to learn a few things, like mathematicians and angles rotation.

[Salvadoramerican]

find the maximum of (x)(4-2x)^2

#43 (2,4) is rotated my suggestion go into polar coordinates such that r=squ root of (2^2+4^2) and tan of theta= 4/2 then from the angle subtract 240 because its clockwise then go back to rectangular coordinates

#45 balls and pin again n+r-1 C r

angle between two lines is tan of theta = (slope of line 2 - slope of line 1)/(1+slope1*slope2)