Tham khảo tài liệu 'thea writting review 9', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | THEA PRACTICE EXAM 2 12. c. Let E equal emergency room cost H equal hos- pice cost which is ỵE N equal home nursing cost which is 2H or 2 1p E or -2E. The total bill is E H N which equals E jE 4E or 140 000. So jE jE Ịe 140 000 so E 140 000. Multiplying both sides by 7 to solve for E we get E 140 000 4 or 80 000. Therefore H jE or 7 80 000 which equals 20 000 and N 2H or 2 20 000 or 40 000. 13. b. M 3N and 3N N 24 which implies that N 6 and M 3N 18. If Nick catches up to Mike s typing speed then both M and N will equal 18 and then the combined rate will be 18 plus 18 or 36 pages per hour. 14. c. Let T equal Ted s age s equal Sam s age which is 3T R equal Ron s age which is 2 or 7 . The sum of the ages is 55 which is -yr 3T T 3T 6T 2T which is equal to 2 2 2 which is equal to 3T 6T 2T or IFF. Now multiply both sides of 55 72F by 2 to get 110 11T. Divide through by 11 to get 10 T. That is Ted s age so Sam is 3T or 3 10 or 30 years old and Ron is 7F or 15 years old. 15. a. In order to find the perimeter the hypotenuse of the triangle must be found. This comes from recognizing that the triangle is a 5-12-13 triangle or by using the Pythagorean theorem. Therefore 5 12 13 30. 16. a. This uses the Pythagorean theorem. The longest object would fit on a diagonal from an upper corner to a lower corner. Since the square base is 9 feet squared the length and width is 3 feet. Because the volume is 36 cubic feet and the base is 9 square feet the height must be 4 feet. First the diagonal in the rectangular wall of the box is 5 because the other sides are 3 and 4 feet. It is a 3-4-5 triangle. The longest diagonal can then be found by using the Pythagorean theorem with a width of 5 and a height of 3 feet. This leaves feet as the only reasonable answer. 17. d. If angle 1 is 30 angle 3 must be 60 by right tri- angle geometry. Because the two lines are parallel angles 3 and 4 must be congruent. Therefore to find angle 5 angle 4 must be subtracted from 180 degrees. This is 120 . .
