Basic Technical Mathematics, 11th Edition

Exercises 2.4, page 70

1. 1. $18\hspace{0.17em}°\hspace{0.17em}$

2. 3. $p\hspace{0.17em}=\hspace{0.17em}11.6\text{ in}\hspace{0.17em}.\hspace{0.17em}\hspace{0.17em},\hspace{0.17em}A\hspace{0.17em}=\hspace{0.17em}{\mathrm{8.30 in.}}^2$

3. 5.

   1. AD

   2. AF

4. 7.

   1. $AF\hspace{0.17em}\perp \hspace{0.17em}OE$

   2. $\hspace{0.17em}\Delta \hspace{0.17em}OEC$

5. 9. 1730 ft

6. 11. 72.6 mm

7. 13. ${\mathrm{0.0285 yd}}^2$

8. 15. ${\mathrm{4.26 m}}^2$

9. 17. ${\mathrm{128 cm}}^2$

10. 19. $25\hspace{0.17em}°\hspace{0.17em}$

11. 21. $25\hspace{0.17em}°\hspace{0.17em}$

12. 23. $120\hspace{0.17em}°\hspace{0.17em}$

13. 25. $40\hspace{0.17em}°\hspace{0.17em}$

14. 27. 0.393 rad

15. 29. 2.185 rad

16. 31. $p\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{1}{2}}\pi r\hspace{0.17em}+\hspace{0.17em}2r$

17. 33. $p\hspace{0.17em}=\hspace{0.17em}\sqrt{2r^2}\hspace{0.17em}+\hspace{0.17em}{\displaystyle \frac{1}{2}}\pi r$

18. 35. All are on the same diameter.

19. 37. ${\mathrm{10.3 in.}}^2$

20. 39. $\pi$ is the ratio of circumference to diameter.

21. 41. $A\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{1}{4}}\pi r^2\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{1}{2}}{r}^2$

22. 43. 383 km

23. 45. No

24. 47. 24,900 mi

25. 49. ${\displaystyle \frac{4}{9}}$

26. 51. 35.7 in.

27. 53. 7/9

28. 55. 73.8 in.

29. 57. Horizontally and opposite to original direction