{"id":13768,"date":"2018-06-14T23:49:49","date_gmt":"2018-06-14T23:49:49","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/chapter\/solutions-4\/"},"modified":"2021-11-22T21:21:55","modified_gmt":"2021-11-22T21:21:55","slug":"solutions-angles","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/solutions-angles\/","title":{"raw":"Solutions: Angles","rendered":"Solutions: Angles"},"content":{"raw":"

Solutions to Try Its<\/h2>\r\n1.\r\n\"Graph\r\n\r\n2.\u00a0[latex]\\frac{3\\pi }{2}[\/latex]\r\n\r\n3.\u00a0\u2212135\u00b0\r\n\r\n4.\u00a0[latex]\\frac{7\\pi }{10}[\/latex]\r\n\r\n5.\u00a0[latex]\\alpha =150^\\circ [\/latex]\r\n\r\n6.\u00a0[latex]\\beta =60^\\circ [\/latex]\r\n\r\n7.\u00a0[latex]\\frac{7\\pi }{6}[\/latex]\r\n\r\n8.\u00a0[latex]\\frac{215\\pi }{18}=37.525\\text{ units}[\/latex]\r\n\r\n9.\u00a01.88\r\n\r\n10.\u00a0[latex]\\frac{-3\\pi }{2}[\/latex]\u00a0rad\/s\r\n\r\n11.\u00a01655 kilometers per hour\r\n

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\r\n\"Graph\r\n\r\n3.\u00a0Whether 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.\r\n\r\n5.\u00a0Linear 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.\r\n\r\n7.\r\n\"Graph\r\n\r\n9.\r\n\"Graph\r\n\r\n11.\r\n\"Graph\r\n\r\n13.\r\n\"Graph\r\n\r\n15.\r\n\"Graph\r\n\r\n17.\u00a0240\u00b0\r\n\"Graph<\/span>\r\n\r\n19.\u00a0[latex]\\frac{4\\pi }{3}[\/latex]\r\n\"Graph<\/span>\r\n\r\n21.\u00a0[latex]\\frac{2\\pi }{3}[\/latex]\r\n\"Graph<\/span>\r\n\r\n23.\u00a0[latex]\\frac{7\\pi }{2}\\approx 11.00{\\text{ in}}^{2}[\/latex]\r\n\r\n25.\u00a0[latex]\\frac{81\\pi }{20}\\approx 12.72{\\text{ cm}}^{2}[\/latex]\r\n\r\n27.\u00a020\u00b0\r\n\r\n29.\u00a060\u00b0\r\n\r\n31.\u00a0\u221275\u00b0\r\n\r\n33.\u00a0[latex]\\frac{\\pi }{2}[\/latex] radians\r\n\r\n35.\u00a0[latex]-3\\pi [\/latex] radians\r\n\r\n37.\u00a0[latex]\\pi [\/latex] radians\r\n\r\n39.\u00a0[latex]\\frac{5\\pi }{6}[\/latex] radians\r\n\r\n41.\u00a0[latex]\\frac{5.02\\pi }{3}\\approx 5.26[\/latex] miles\r\n\r\n43.\u00a0[latex]\\frac{25\\pi }{9}\\approx 8.73[\/latex] centimeters\r\n\r\n45.\u00a0[latex]\\frac{21\\pi }{10}\\approx 6.60[\/latex] meters\r\n\r\n47.\u00a0104.7198 cm2\r\n\r\n49.\u00a00.7697 in2\r\n\r\n51.\u00a0250\u00b0\r\n\r\n53.\u00a0320\u00b0\r\n\r\n55.\u00a0[latex]\\frac{4\\pi }{3}[\/latex]\r\n\r\n57.\u00a0[latex]\\frac{8\\pi }{9}[\/latex]\r\n\r\n59.\u00a01320 rad 210.085 RPM\r\n\r\n61.\u00a07 in.\/s, 4.77 RPM, 28.65 deg\/s\r\n\r\n63.\u00a0[latex]1,809,557.37\\text{ mm\/min}=30.16\\text{ m\/s}[\/latex]\r\n\r\n65.\u00a0[latex]5.76[\/latex]\u00a0miles\r\n\r\n67.\u00a0[latex]120^\\circ [\/latex]\r\n\r\n69.\u00a0794 miles per hour\r\n\r\n71.\u00a02,234 miles per hour\r\n\r\n73.\u00a011.5 inches","rendered":"

Solutions to Try Its<\/h2>\n

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

2.\u00a0[latex]\\frac{3\\pi }{2}[\/latex]<\/p>\n

3.\u00a0\u2212135\u00b0<\/p>\n

4.\u00a0[latex]\\frac{7\\pi }{10}[\/latex]<\/p>\n

5.\u00a0[latex]\\alpha =150^\\circ[\/latex]<\/p>\n

6.\u00a0[latex]\\beta =60^\\circ[\/latex]<\/p>\n

7.\u00a0[latex]\\frac{7\\pi }{6}[\/latex]<\/p>\n

8.\u00a0[latex]\\frac{215\\pi }{18}=37.525\\text{ units}[\/latex]<\/p>\n

9.\u00a01.88<\/p>\n

10.\u00a0[latex]\\frac{-3\\pi }{2}[\/latex]\u00a0rad\/s<\/p>\n

11.\u00a01655 kilometers per hour<\/p>\n

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

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

3.\u00a0Whether 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.\u00a0Linear 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.\u00a0240\u00b0
\n\"Graph<\/span><\/p>\n

19.\u00a0[latex]\\frac{4\\pi }{3}[\/latex]
\n\"Graph<\/span><\/p>\n

21.\u00a0[latex]\\frac{2\\pi }{3}[\/latex]
\n\"Graph<\/span><\/p>\n

23.\u00a0[latex]\\frac{7\\pi }{2}\\approx 11.00{\\text{ in}}^{2}[\/latex]<\/p>\n

25.\u00a0[latex]\\frac{81\\pi }{20}\\approx 12.72{\\text{ cm}}^{2}[\/latex]<\/p>\n

27.\u00a020\u00b0<\/p>\n

29.\u00a060\u00b0<\/p>\n

31.\u00a0\u221275\u00b0<\/p>\n

33.\u00a0[latex]\\frac{\\pi }{2}[\/latex] radians<\/p>\n

35.\u00a0[latex]-3\\pi[\/latex] radians<\/p>\n

37.\u00a0[latex]\\pi[\/latex] radians<\/p>\n

39.\u00a0[latex]\\frac{5\\pi }{6}[\/latex] radians<\/p>\n

41.\u00a0[latex]\\frac{5.02\\pi }{3}\\approx 5.26[\/latex] miles<\/p>\n

43.\u00a0[latex]\\frac{25\\pi }{9}\\approx 8.73[\/latex] centimeters<\/p>\n

45.\u00a0[latex]\\frac{21\\pi }{10}\\approx 6.60[\/latex] meters<\/p>\n

47.\u00a0104.7198 cm2<\/p>\n

49.\u00a00.7697 in2<\/p>\n

51.\u00a0250\u00b0<\/p>\n

53.\u00a0320\u00b0<\/p>\n

55.\u00a0[latex]\\frac{4\\pi }{3}[\/latex]<\/p>\n

57.\u00a0[latex]\\frac{8\\pi }{9}[\/latex]<\/p>\n

59.\u00a01320 rad 210.085 RPM<\/p>\n

61.\u00a07 in.\/s, 4.77 RPM, 28.65 deg\/s<\/p>\n

63.\u00a0[latex]1,809,557.37\\text{ mm\/min}=30.16\\text{ m\/s}[\/latex]<\/p>\n

65.\u00a0[latex]5.76[\/latex]\u00a0miles<\/p>\n

67.\u00a0[latex]120^\\circ[\/latex]<\/p>\n

69.\u00a0794 miles per hour<\/p>\n

71.\u00a02,234 miles per hour<\/p>\n

73.\u00a011.5 inches<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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