{"id":1368,"date":"2023-06-05T14:51:01","date_gmt":"2023-06-05T14:51:01","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-angles\/"},"modified":"2023-06-05T14:51:01","modified_gmt":"2023-06-05T14:51:01","slug":"solutions-for-angles","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-angles\/","title":{"raw":"Solutions 44: Angles","rendered":"Solutions 44: Angles"},"content":{"raw":"\n

Solutions to Odd-Numbered Exercises<\/h2>\n1.\n\"Graph\n\n3. Whether the angle is positive or negative determines the direction. A positive angle is drawn in the counterclockwise direction, and a negative angle is drawn in the clockwise direction.\n\n5. Linear speed is a measurement found by calculating distance of an arc compared to time. Angular speed is a measurement found by calculating the angle of an arc compared to time.\n\n7.\n\"Graph\n\n9.\n\"Graph\n\n11.\n\"Graph\n\n13.\n\"Graph\n\n15.\n\"Graph\n\n17. 240\u00b0\n\"Graph<\/span>\n\n19. [latex]\\frac{4\\pi }{3}[\/latex]\n\"Graph<\/span>\n\n21. [latex]\\frac{2\\pi }{3}[\/latex]\n\"Graph<\/span>\n\n23. [latex]\\frac{7\\pi }{2}\\approx 11.00{\\text{ in}}^{2}[\/latex]\n\n25. [latex]\\frac{81\\pi }{20}\\approx 12.72{\\text{ cm}}^{2}[\/latex]\n\n27. 20\u00b0\n\n29. 60\u00b0\n\n31. \u221275\u00b0\n\n33. [latex]\\frac{\\pi }{2}[\/latex] radians\n\n35. [latex]-3\\pi [\/latex] radians\n\n37. [latex]\\pi [\/latex] radians\n\n39. [latex]\\frac{5\\pi }{6}[\/latex] radians\n\n41. [latex]\\frac{5.02\\pi }{3}\\approx 5.26[\/latex] miles\n\n43. [latex]\\frac{25\\pi }{9}\\approx 8.73[\/latex] centimeters\n\n45. [latex]\\frac{21\\pi }{10}\\approx 6.60[\/latex] meters\n\n47. 104.7198 cm2\n\n49. 0.7697 in2\n\n51. 250\u00b0\n\n53. 320\u00b0\n\n55. [latex]\\frac{4\\pi }{3}[\/latex]\n\n57. [latex]\\frac{8\\pi }{9}[\/latex]\n\n59. 1320 rad 210.085 RPM\n\n61. 7 in.\/s, 4.77 RPM, 28.65 deg\/s\n\n63. [latex]1,809,557.37\\text{ mm\/min}=30.16\\text{ m\/s}[\/latex]\n\n65. [latex]5.76[\/latex] miles\n\n67. [latex]120^\\circ [\/latex]\n\n69. 794 miles per hour\n\n71. 2,234 miles per hour\n\n73. 11.5 inches\n","rendered":"

Solutions to Odd-Numbered Exercises<\/h2>\n

1.
\n\"Graph<\/p>\n

3. Whether the angle is positive or negative determines the direction. A positive angle is drawn in the counterclockwise direction, and a negative angle is drawn in the clockwise direction.<\/p>\n

5. Linear speed is a measurement found by calculating distance of an arc compared to time. Angular speed is a measurement found by calculating the angle of an arc compared to time.<\/p>\n

7.
\n\"Graph<\/p>\n

9.
\n\"Graph<\/p>\n

11.
\n\"Graph<\/p>\n

13.
\n\"Graph<\/p>\n

15.
\n\"Graph<\/p>\n

17. 240\u00b0
\n\"Graph<\/span><\/p>\n

19. [latex]\\frac{4\\pi }{3}[\/latex]
\n\"Graph<\/span><\/p>\n

21. [latex]\\frac{2\\pi }{3}[\/latex]
\n\"Graph<\/span><\/p>\n

23. [latex]\\frac{7\\pi }{2}\\approx 11.00{\\text{ in}}^{2}[\/latex]<\/p>\n

25. [latex]\\frac{81\\pi }{20}\\approx 12.72{\\text{ cm}}^{2}[\/latex]<\/p>\n

27. 20\u00b0<\/p>\n

29. 60\u00b0<\/p>\n

31. \u221275\u00b0<\/p>\n

33. [latex]\\frac{\\pi }{2}[\/latex] radians<\/p>\n

35. [latex]-3\\pi[\/latex] radians<\/p>\n

37. [latex]\\pi[\/latex] radians<\/p>\n

39. [latex]\\frac{5\\pi }{6}[\/latex] radians<\/p>\n

41. [latex]\\frac{5.02\\pi }{3}\\approx 5.26[\/latex] miles<\/p>\n

43. [latex]\\frac{25\\pi }{9}\\approx 8.73[\/latex] centimeters<\/p>\n

45. [latex]\\frac{21\\pi }{10}\\approx 6.60[\/latex] meters<\/p>\n

47. 104.7198 cm2<\/p>\n

49. 0.7697 in2<\/p>\n

51. 250\u00b0<\/p>\n

53. 320\u00b0<\/p>\n

55. [latex]\\frac{4\\pi }{3}[\/latex]<\/p>\n

57. [latex]\\frac{8\\pi }{9}[\/latex]<\/p>\n

59. 1320 rad 210.085 RPM<\/p>\n

61. 7 in.\/s, 4.77 RPM, 28.65 deg\/s<\/p>\n

63. [latex]1,809,557.37\\text{ mm\/min}=30.16\\text{ m\/s}[\/latex]<\/p>\n

65. [latex]5.76[\/latex] miles<\/p>\n

67. [latex]120^\\circ[\/latex]<\/p>\n

69. 794 miles per hour<\/p>\n

71. 2,234 miles per hour<\/p>\n

73. 11.5 inches<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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CC licensed content, Specific attribution<\/div>