CC3 Unit 2 Test Review Sheet Topography Vocabulary Topography: The surface features of the land Elevation: The height above sea level Contour Lines: These connect equal points of elevation Relief: The difference in elevation from the highest to lowest point on a topographic feature Contour Interval: The difference in elevation between each contour line Gradient: The difference in elevation divided by the distance 1. What is the elevation of point A? _3400_ 2. What is the elevation of point B? _2900_ 3. What is the elevation at the point on line A-B where it crosses Snapper Creek? __2875___ 4. If you walked from point A to point B along line A-B, would you be walking downhill or uphill, or both? __both__ 5. In what direction would you be walking? ___ENE___ 6. Explain your answer, stating the elevations at point A, Snapper Creek and point B. ___walk down from 3400 to 2875 at the stream and then back up to 2900____ 7. What is the elevation of the highest point shown on the map?__3600______ 8. Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B needs to make a minimum of 800 toy dump trucks and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hour. Plant B can produce 5 toy dump trucks and 15 toy fire engines per hour. It costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many hours should be spent on each toy in order to minimize cost? What is the minimum cost? (88 hours on dump trucks and 24 hours on fire engines – min cost $347=80) A B Dump (x) 10 4 10x+5y≥1000 5x+15y≥800 30*0+35*200= 7000 30*88+35*24=3480 30*160+0=4800 Fire (y) 5 15 Min 1000 800 Graph the feasible region. State the corner points. x+ y 3x + y 5 6 x – 2y ≤ 2 Give the explicit formula, recursive formula and 11th term in the series for each series if applicable. 9. 19, 13, 7, … an=19-6(n-1) a0=19 an=an-1-6 a(11) = 79 10. 3.2 , 3.5 , 3.8 , 4.1, ... an=3.2+0.3(n-1) a0=3.2 an=an-1+0.3 a(11) = 6.2 11. 2, 6, 18, 54, … gn=2 x 3(n-1) g0 = 2 gn = g0 x 3 12. 16, 12.8, 10.24, 8.192 … g(11) = 118,098 gn=16 x .8(n-1) g0 = 16 gn = g0 x .8 g(11) = 1.72 13. After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. Write a explicit formula for the situation. How many weeks will it be before you are up to jogging 60 minutes per day? Adding 6 minutes to the weekly jogging time for each week creates the sequence: 12, 18, 24, ... an=12+(n-1)6 an = 60 n = 9 weeks 1. 5 2. 3 3. ADC 4. BAD 5. 11 6. ED 7. CD 8. BDC 9. CAD 10. BD 11. BC 12. EC 13. ABC 14. 90 ADC 15. BD 16. 90 17. 6, 18. 4 19. 90 20. 90 21. = 7, 3 22. 2, 23. BD 24. 90 25. 45 4, 6 Proofs Given: VWKJ and SJRU are parallelograms Prove: W U W J J U W Opposite in parallelogram are Opposite in parallelogram are substitution U Given: Triangle RPQ OPN R is the midpoint of MQ Prove: MRON is a parallelogram RQ NO RM RQ RM NO R O RM // ON RMNO is a parallelogram CPCTC Def of midpoint Substitution CPCTC Converse AIA Parallelogram has 1 pair of sides that are congruent and parallel