Allen is putting up a rectangular fence in his back yard. He is also putting two circular flower beds inside of the fence. He has decided that he wants the fence to be 25 feet long. He also wants the radii of the flower beds to be at least 2 feet less than the width of the fence. Allen can spend no more than $400 on the fence and flower bed materials. The cost of the fence will be $2.50 per linear foot of fence and the cost of the material for the flower beds will be $1.60 per square foot.

If y represents the width of the fence and x represents the radii of the flower beds, then which of the following systems of inequalities can be used to determine the length and width of the fence and the radii of the flower beds?

i think the amount would be $140.62

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208