Course End Review MAP4C
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1 Nrnne: MAP4C Trigonometry 1. Choose the angle that has negative cosine Choose the negative ratio. sin 150 eos108 tan 73 eos Choose the best description of the following ratios. i. sin sin10l 111. sin 28 ii is negative. i, ii, and iii are negative. i, ii, and iii are positive. i and iii are negative Name the side opposite LA 4. A b AC c a BC B B L 5. Write cos L as a ratio of sides. k in 5. 1 k m m 1"[ K m k - k 1 6. Choose the negative ratio. sin 146 eos101 tan 76 cos Given tanp = , determine the measure of LP to the nearest degree. 7.
2 8. Cindy measures the angle of elevation to the top of a flagpole to be 64 0 Taylor-Jo is standing behind Cindy and measures the angle to be 59 0 The flagpole is 21.7 m high. How far apart are Cindy and Taylor-Jo? Taylor-Jo Cindy Determine the indicated length, g an 43 GL 'H 63.7 km R 10. Determine the measure LR. 93 m 10. p 93m Q 11. A ladder leans against a wall making an angle of 73 0 with the ground. The ladder's base is 1.17 m away from the wall. Determine the length of the ladder '-- How high up the wall does the ladder reach Determine the measure of LG. H ts m G 13. Use Pythagorean Theorem to determine the missing side in /),RST. s m --"R m
3 14. Find the LA, to the nearest degree. B 88.7 km C km A 15. Find the length of side a, to the nearest centimeter Determine LB and Le. c 16 A 16 Geometry B 17. Determine the area of the composite figure. The curve is a semicircle cm 18. A can of tuna fish has a diameter 11.4 cm and height 3.7 cm. Cans are packed snugly for shipping in boxes containing 4 layers of 5 rows by 7. How much empty space does each box contain? Given the circle, determine: the perimeter (circumference) 19 the area 19
4 20. The mould shown below is used...~.,. 20. to make a candle in the shape of a square-based pyramid. What is the volume of the mould? 2l. A half-cylinder has diameter 23 m and height 55 m. Determine the volume of the half-cylinder. i 38m 1 2l. 22. The volume of a cylinder is 2400 cm" and the height is 6 cm. 22. Find the radius of the cylinder to the nearest tenth. 23. Find the radius ofa circle with circumference of7.536 cm A cylindrical can has volume of 19 crrr' and 24. has a height of 15 cm. Determine the radius of this cylindrical can to 2 decimal places. 15 cm 25. The formula V =!1 r 2 h gives the volume of a cone with radius r and height h. Use the formula to determine the radius of a cone with volume 457 cnr' and height 12 cm. 26. Determine the area of the composite figure below. 26.,,, :12 cm,,,,,, 26 cm 1\,,,, -26clll 27. The can contains individually wrapped chocolates that each take up about 28 crrr' of space. Determine how many chocolates a container of the height 15 cm will hold. 15cm
5 Algebraic Models 28. Simplify: (35x 7 /) +- (5X 2 y3) 29. Evaluate: (2-3) Solve for x: 5 x =1 31. Simplify: (2x 6 )(4x 3 ) Simplify: (5a- 2 b 5 c 2 )3 33. Evaluate: (1)13(1) Simplify: (x 5 t 3 x (2at Solve for x. 3(4 X) - 6 = Evaluate: T Solve for x: 62:< = Solve for x: 7 6x - 1 = 7 2 x+1l Solve for x: 5 2x = Evaluate (2 decimals): 75[( y2-1] Evaluate (2a-2b cr for a = 2, b = 3, and c = SF The formula K = can be used to convert degrees 9 Fahrenheit, F, to degrees Kelvin, K. Determine the Kelvin equivalent of 27 P Given K = 5F rearrange the formula to isolate F
6 MAP 4C: Preparation For College Mathematics Statistical Literacy and Graphical Models 44. State if it is a primary or secondary source. Youssef asked his friends how many hours per week they spend reading. 44 You use the nternet to find the number of pandas in the world. 44 Statistics Canada collected data from Canadian households on annual household income. 44 You count the number of cars passing through an intersection during rush hour The following scores represent the final examination grade for a Canadian History course Treating the distribution as a population, find: mean 45 median 45 mode Which statement best describes these graphs? 46. y y x Only graph i models a linear relation. Both graphs model linear relations. Only graph ii models a linear relation. Neither graph models a linear relation.
7 Annuities and MortgQges 47. Rearrange the equation to solve for R: 7000 = R[(l )46-1] True or false: an annuity can be used to save money for a financial goal 48 an annuity/ can be used to repay debt 48. le of an annui a mortgage S an examp e 0 an annuity 48 an annuitj must have identical payments and compounding periods Money is invested at 3.2 % compounded quarterly for 8 years. DeterminJ the interest rate, i Determinl the number of conversion periods, n. Luis deposits $125 at the end of each quarter into an account that pays 6% compoupded quarterly. Calculate the amount in the account at the enf of 3 years. Matt has a loan 0t$ at 1.25 % compounded monthly. He will payoff the loan over the next 5 years. Determine Matt's monthly loan payment Carolyn needs $~O 500 in four years from now. How much should she deposit at th~ end of each year for the next 4 years in an account that earns 5 % cqmpounded annually? Patrick receivedlcar loan from the Ford nstitute of Finance. He will repay in equal installments of $350 at the end of every month for the next 5 years. What is the amount of the loan if the interest rate is 3.5% compounded monthly? 53.
8 MAP 4C: Preparation For College Mathematics Budgets 54. What is a variable expense and a fixed expense? 54 ive one ramp e or eac expense Convert $150 sp mt on daycare each week to a monthly amount Daniel is a stude~t at a college. He has a part-time job with take-home pay of $525 every two reeks. He has received a scholarship of $41 00 this year. This table sows h hise xpenses: Expense Amount Tuition $3700 yearly Rent and u ilities $650 monthly Food $70 weekly Cell phone $40 monthly Clothing $90 bi-monthly Miscellaneous $35 bi-weekly Chart S on the next page.
9 MAP 4C: Preparation For College Mathematics Use the data provided to design a monthly budget for Daniel. Show your calculations and indicate whether each expense or income is fixed or variable. -'.ncome Salary le l Scholarsihp Monthly Amount ($) ic," cc y,, [, c' ""!-, Fixed ($1 Variable ($) if - F ;~', '{ "";,.< '-",." '0' FTotal ($)' Total n+me Expense~ Tuition Rent and utilities Food Cell Phore plan Clothingl Miscellaheous Total Ex1enses i Total nlme, - Total Expenses f Daniel's br'dget is in the negatives, how can he adjust his budget so that he would balance each month? t must be hand written in your own
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