University:
High School
Course:
High School Geometry
Academic year:

2020
Views:

307

Pages:

5
Author:

okleby

Geometry Final 52 Study Guide Solutions 1. * a) 2 * 2 * 2 * 2 * 2 = 2^5 = 32 * b) 1/32 ≈ 3.1% * c) 2/32 = 1/16 ≈ 6.3% 2. * WRB, WBR, RWB, RBW, BWR, BRW * 10 marbles * a) P(RRR) = 5/10 * 5/9 * 4/8 = 1/18 ≈ 5.6% * b) P(RRR) = 5/10 * 4/9 * 3/8 = 60/720 = 1/12 ≈ 8.3% * c) P(R,W,B) = 5/10 * 3/9 * 2/8 = 30/720 = 1/24 ≈ 4.2% * d) P(W,W,B) = 3/10 * 2/9 * 2/8 = 12/720 = 1/60 ≈ 1.7% * e) P(B,B,B) = 2/10 * 1/9 * 0/8 = 0 3. Not Replaced * a) P(RRR) = 4/10 * 3/9 * 2/8 = 24/720 = 1/30 ≈ 3.3% * b) P(RRR) = 4/10 * 3/9 * 2/8 = 24/720 = 1/30 ≈ 3.3% * c) P(R,W,B) = 4/10 * 3/9 * 2/8 = 24/720 = 1/30 ≈ 3.3% * d) P(W,W,B) = 3/10 * 2/9 * 2/8 = 12/720 = 1/60 ≈ 1.7% * e) P(B,B,B) = 2/10 * 1/9 * 0/8 = 0 4. * a) 100 - 25π = 21.46% * b) 100 - 25π = 21.46% 5. * 28/42 = x/33 * 42x = 924 * x = 22 * Scale factor: 1.5 6. * 77/21 = (11x + 11)/30 * 2310 = 231x + 231 * 2310 - 231 = 231x * 2079 = 231x * x = 9 * Scale factor: 3.67 7. * 5/10 = x/30 * 10x = 150 * x = 15 8. * 5 * 8 = 40 * 68/51 = x/540 * 36720/51 = 51x/51 * 720 in = x 9. * x/10 = 12/8 * 8x = 120 * x = 15 10. * 100 - 25π = 21.46% 10. Sides: 11, 12, 15 Angles: LA, LB, LC 11. * Angles: 59°, 60°, 61° * Sides: BC, AB, AC 12. * a) 410 + 8 + 15 = 433 100 + 64 + 225 = 389 Not a triangle * b) 14 + 10 = 24 144 + 100 = 244 Not a triangle * c) 12² + 9² = 15² 144 + 81 = 225 225 = 225 Right * d) 52.5² + 10.5² = 48.5² 1521 + 1056.25 = 2352.25 2577.25 ≠ 2352.25 Obtuse 13. 85² + 150² = x² 7225 + 22500 = x² x = √29725 14. 6² + 8² = x² 36 + 64 = x² 100 = x² x = 10 15. * a) sin L = 12/37 cos L = 35/37 tan L = 12/35 * b) sin C = 20/29 cos C = 21/29 tan C = 20/21 16. * a) sin A = 3/5 cos A = 4/5 tan A = 3/4 17. * T is ≟ R and ∠R = ∠T * 36/39 = 12/13 * cos R = 36/39 = 12/13 18. * tan(61°) = x/12.85 * 1.8040 = x/12.85 * x = 23.18 19. * sin A = 40/41 * cos A = 9/41 * tan A = 40/9 20. * Mistake...