May 12, 2003
Problem of the Week

Equations Analysis Test

Each equation below contains the initials of words that are needed to complete it. Find the missing words. All of the equations are mathematical (and some involve trigonometry).
For example, 36 = I. in a Y. would be 36 = Inches in a Yard.

1. ___	0	=	the T. of P. R.
2. ___	0	=	the I. E. for A.
3. ___		=	the C. of F.-F. D.
4. ___	1	=	the S. of N. D.
5. ___	1	=	the I. E. for M.
6. ___		=	the H. of an I. R.T. whose L. E. O.
7. ___	2	=	the C. of T. D.
8. ___	5	=	the D. in a P.
9. ___	9	=	the S. of a N.
10. ___	10	=	M. in a C.
11. ___	12	=	V. in a D.
12.   Inches in a Yard	36	=	I. in a Y.
13. ___	45	=	A. of   I. of a L. with S. E. to O.
14. ___	49	=	the S. of S.
15. ___	60	=	D. in E. A. of an E. T.
16. ___	90	=	S. of the A. A. of a R. T.
17. ___	90	=	D. in a R. A.
18. ___	100	=	D. C. at which W. B.
19. ___	120	=	D. in E. I. A. of a R. H.
20. ___	360	=	D. in a C.
21. ___	640	=	A. in a S. M.

Solution to the Problem:

1. the Tangent of Pi Radians	=	0
2. the Identity Element for Addition	=	0
3. the Cosine of Forty-Five Degrees	=
4. the Sine of Ninety Degrees	=	1
5. the Identity Element for Multiplication	=	1
6. the Hypotenuse of an Isosceles Right Triangle whose Legs Equal One	=
7. the Cosecant of Thirty Degrees	=	2
8. the Diagonals of a Pentagon	=	5
9. the Sides of a Nonagon	=	9
10. Millimeters in a Centimeter	=	10
11. Vertices in a Dodecagon	=	12
12. Inches in a Yard	=	36
13. Angle of Inclination of a Line with Slope Equal to One	=	45
14. the Square of Seven	=	49
15. Degrees in Each Angle of an Equilateral Triangle	=	60
16. Sum of the Acute Angles of a Right Triangle	=	90
17. Degrees in a Right Angle	=	90
18. Degrees Celsius at which Water Boils	=	100
19. Degrees in Each Interior Angle       of a Regular Hexagon	=	120
20. Degrees in a Circle	=	360
21. Acres in a Square Mile	=	640

Correctly solved by:

1. Peggah Sadeghzadeh (21)	Winchester, Virginia
2. Walt Arrison (21)	Philadelphia, Pennsylvania
3. Lane White (21)	Columbus, Georgia
4. Kelsey Tomblin (21)	Columbus, Georgia
5. Tom Dressen (21)	----------
6. Bentley Sparks (21)	Columbus, Georgia
7. Dave Smith (21)	Toledo, Ohio
8. Ross Tew (21)	Columbus, Georgia
9. PiNkPuNkRoCk3 @aol.com (21)	----------
10. Barclay Hendrix (21)	Columbus, Georgia
11. Ronak Dixit (21)	Columbus, Georgia
12. Sally Stiebel (20)	Winchester, Virginia
13. obswithtenis @aol.com (20)	----------
14. Bobby Martin (20)	Columbus, Georgia
15. Sam Enumah (20)	Columbus, Georgia
16. Rick Jones (19)	Kennett Square, Pennsylvania
17. Keith Mealy (19)	Cincinnati, Ohio
18. Jeffrey Gaither (19)	Winchester, Virginia
19. William Funk (18)	San Antonio, Texas
20. Tina Zahel (17)	Winchester, Virginia
21. Bob Hearn (16)	Winchester, Virginia
22. John Funk (15)	Ventura, California

Send any comments or questions to: David Pleacher