58%
Let's take our four tests and call them A, B, C and D, in order from worst to best. We're told: (A + B + C + D) / 4 = 85.5 (B + C + D) / 3 = 87 A = B We can say then: (2B + C + D) / 4 = 85.5 Or: B/2 + C/4 + D/4 = 85.5 And: B / 3 + C / 3 + D / 3 = 87 Or: B/2 + C/2 + D/2 = 3(87 / 2) Now we can combine those two equations to eliminate B. We'll subtract the terms of the first one from the terms of the second one: (B/2 - B/2) + (C/2 - C/4) + (D/2 - D/4) = 3(87 / 2) - 85.5 (2C - C) / 4 + (2D - D) / 4 = 45 (C + D) / 4 = 45 (C + D) / 2 = 90 So the average of the two best tests is 90%
39 out of 50 = 78%.. 78% in letters = a c+
28 The Law of Sines: a/sin A = b/sin B = c/sin C 24/sin 42˚ = c/sin (180˚ - 42˚ - 87˚) since there are 180˚ in a triangle. 24/sin 42˚ = c/sin 51˚ c = 24(sin 51˚)/sin 42˚ ≈ 28
00-65 is a F 66-69 is a D 70-72 is a C- 73-76 is a C 77-79 is a C+ 80-82 is a B- 83-86 is a B 87-89 is a B+ 90-92 is a A- 93-96 is a A 97-100 is An A+
12b - 9 + 2b - b = -87 13b - 9 = -87 13b = -87 +9 13b = -78 b = -6
assuming you are on the 10 point scale, an 87 would be considered a high B.
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