Basic Technical Mathematics, 11th Edition

Exercises 21.1, page 572

1. 1. $\sqrt{61}$

2. 3. $150\hspace{0.17em}°\hspace{0.17em}$

3. 5. $2\sqrt{29}$

4. 7. 3

5. 9. 55

6. 11. $2\sqrt{41}$

7. 13. 2.86

8. 15. ${\displaystyle \frac{5}{2}}$

9. 17. Undefined

10. 19. $\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{3}{4}}$

11. 21. ${\displaystyle \frac{1}{9}}$

12. 23. 0.747

13. 25. ${\displaystyle \frac{1}{3}}\sqrt{3}$

14. 27. $\hspace{0.17em}-\hspace{0.17em}0.0664$

15. 29. $20.0\hspace{0.17em}°\hspace{0.17em}$

16. 31. $98.5\hspace{0.17em}°\hspace{0.17em}$

17. 33. Parallel

18. 35. Perpendicular

19. 37. $\hspace{0.17em}-\hspace{0.17em}2$

20. 39. $\hspace{0.17em}-\hspace{0.17em}3$

21. 41. Two sides equal $2\sqrt{10}\hspace{0.17em}.\hspace{0.17em}$

22. 43. $m_1\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{5}{12}}\hspace{0.17em},\hspace{0.17em}{m}_2\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{4}{3}}$

23. 45. 10

24. 47. $4\sqrt{10}\hspace{0.17em}+\hspace{0.17em}4\sqrt{2}\hspace{0.17em}=\hspace{0.17em}18.3$

25. 49. (1.5)

26. 51. $(\hspace{0.17em}-\hspace{0.17em}2.8\hspace{0.17em},\hspace{0.17em}4.2)$

27. 53. $x^2\hspace{0.17em}+\hspace{0.17em}{y}^2\hspace{0.17em}=\hspace{0.17em}9$

28. 55. $m_1\hspace{0.17em}=\hspace{0.17em}1\hspace{0.17em},\hspace{0.17em}{m}_2\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}1$

29. 57. $(\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{11}{3}}\hspace{0.17em},\hspace{0.17em}0)$

30. 59. $(0\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{7}{9}})$

31. 61. No

32. 63. 66.7 mm

33. 65. 1700 km