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Nickles on the Highway 1998-09-22
From Ronnie Mac Donald:
How many nickels would it take to cover 226km of highway,each nickel is 2cm in diameter?
A Hexagon 1998-09-22
From Lee Curtis:
Could someone calculate this for me?
If a hexagon is 38 feet 8 inches across, how wide would each of the six sides be?

Thank you,
Lee Curtis
Answered by Chris Fisher and Harley Weston.

Help the Helper 1998-09-20
From John Derr:
I am TRYING to help my niece with her Community College Teacher's math course! I have a BS and an Engineer yet stumble on what her book is asking:

1. Fill in the blanks to continue this sequence of equations:
 1 = 0+1 1+3+1 = 1+4 1+3+5+3+1 = 4+9 _______________ = ____ _______________ = ____
2. What expression, suggested by part (1.), should be placed in the blank to complete this equation?

 1 + 3 + 5.........+ (2n-3) + (2n-1)+ (2n-3)+...+5 + 3+ 1 = _________

Five Factors 1998-09-19
From Derek Yau:
To whom it may concern,

I have difficulty in getting the solution to the following question:

Find 5 numbers that have exactly 5 factors.

I got 16, 81 but couldn't find the rest. I believe that in order to have 5 factors, it has to be a square number. Isn't it true? I guess there may be a pattern to this.

Derek Yau.

Rational and Irrational Numbers 1998-09-19
From Ri:
I am trying to explain rational & irrational numbers to my niece who is grade 7 and am having difficulties. Could you please explain the difference between rational & irrational numbers.

Thank you
Ri

Simplifying Roots 1998-09-18
From Lauren Lattimer:
1. 2root27 divided by root 12

2. 3 root 48-root 75

Probability 1998-09-17
From Chris:
Six marbles are placed in one of three boxes. What is the probability that each box contains two marbles? What is the formula used?
Answered by Penny Nom and Chris Fisher.
Unit Fractions 1998-09-16
From Murray MacNeil:
Sir, my nephew is having trouble with math,he is in grade 10. this is his question.

Find seven unit fractions whose whole sum is one.

thank you
murray macneil

Random 1998-09-15
From Hugh Ballantyne:
I am an occasional teacher.
Here is my question:
Does the word "random" have a technical meaning in mathematics?

From Lana Sabo:
Question:
fifteen times the square root of twenty, divided by the square root of 2.

nine subtract the square root of forty-five, divided by 3.

the square root of 18 plus the square root of 12, divided by the square root of 3.

A Pattern 1998-09-14
From Krystin:
Question:
1=1x1
1+2+1=2x2
1+2+3+2+1=3x3

draw a series of diagrams to illustrate the above pattern

Human Calculator 1998-09-14
From Pam Sloan:
I recently saw a special on NBC Dateline about a man known as the human calculator. They called him Mr. Math. I want to know more about his books, seminars, and activities. Also, what is his real name?
(1+z+z^2)^2 1998-09-10
From A.R.:
These questions deal with factoring.

(1+z+z^2)^2 and (p^2-pq+q^2)^2

I partially understand the second line which would be 1+z^2+z^4+2z+2z^2+2z^3 but I don't understand where the 2 comes from in the second half of that line.

p.s.(^2 means squared or cubed etc.)

I have a quiz on this tomorrow!
Thank-you,
A.R.

Triminoes 1998-09-09
From Roxanne Hale:
I am doing an investigation about a game called triminoes (like dominoes). The game is played using triangular pieces of card. Each card has 3 numbers on it. I have to investigate the relationship between the number of trimino cards in a set and the largest number on the cards. I found;

largest no. used 0 1 2 3 4
no. of trimino cards 1 4 10 20 35

I was ginen the formula for this which is:
UN= UN - 1 + 1/2 (n + 1 ) (n+2)

UN=no. of trimino cards n= largest no.

I don't know how to get to this equation I think it has something to do with triangle numbers!

Cutting a Pizza 1998-09-09
From Woody:
what is the greatest number of pieces of pizza you can form if you use five straight cuts to cut the pizza? answer given is 16. please draw a diagram of the answer.
thanks, woody