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Probability and a three digit number 2001-03-15
From Glenn:
A THREE DIGIT NUMBER IS SELECTED AT RANDOM. WHAT IS THE PROBABILITY THAT NON OF THE THREE DIGITS ARE PRIME.
Answered by Harley Weston.
Names of the polygons 2001-03-15
From Sami:
I was asked to find out what the names for different polygons were. The only two I cannot find are the names for a polygon with 30 sides and a polygon with 40 sides. I would really appreciate it if you could help me. Thank you very much.
Answered by Harley Weston.
The bond angles of a tetrahedral polygon 2001-03-14
From Nishi:
how do i prove (a simply as possible) why the bond angles of a tetrahedral polygon are 109.5 degrees? *i already have two explanations that i don't understand. one is about "theory of dot products" and "vectors" and a hook-like symbol w/ a cosine, and the other has an incomprhensible diagram w/ difficult notation- PLEASE BE SIMPLE! thanks sooo much
Answered by Harley Weston.
A jogger 2001-03-12
From Bill:
At time t=0 a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down with a negative acceleration that is directly propotional to time t. This brings the jogger to a stop in 10 minutes.

a) write an expression for the velocity of the jogger at time t.

b) what is the total distance traveled by the jogger in that 10-minute interval.


Answered by Harley Weston.
Quadratic equations 2001-03-11
From Philip:
I am a student in the UK and i am in secondary school and i am doing my GCSE next year.

here are my questions:

solve the following equations correct to 2 decimal each time.

[1] 2xsquared + 5x = 1

[2] 3xsquared(2x+1)=1

[3] xsquared + 7x + 2 = 2x + 4

[4] 5xsquared - 3x = xsquared + 4


Answered by Penny Nom.
Math Puzzle 2001-03-10
From Vanessa:
I have a math puzzle. I have been working on it for over 2 weeks. Here it is: use the numbers 1-25 each only once. The rows across are an equation and the columns down are an equation. There are 25 boxes. You have to use the order of operation x and / first then = and -. Some of the answers are -numbers.
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Answered by Claude Tardif.
Two locus problems 2001-03-08
From Janna:
A point P moves such that it is always equidistant from the point G(2,5) and the line defined by y=3. Find the equation of the locus. I got as far as the equation: 3y2 -4y = -x2 + 4x - 16 and didn't know what to do from there. Of, course that whole equation could be wrong.

Question 2: P is always twice as far from A(8,0) as it is from B(2,0). Find the equation of the locus. Once again, I got as far as y2 = -x2 -8x -56, and got stuck.


Answered by Harley Weston.
The angle of elevation 2001-03-08
From Jeffrey:
At a Certain time, a vertical pole 3m tall cast a 4m shadow. What is the angle of elevation of the sun?
Answered by Harley Weston.
4160 2001-03-07
From Jessica:
The product of two consecutive page numbers in this book is 4160. What are the page numbers?
Answered by Penny Nom.
problem of the week 2001-03-06
From Peggy Allan:
My son has been challenged with "the problem of the week" and I am unable to assist him in finding a reasonable solution.

Problem 1,

Julio needs to draw a line segment 15cm long. He does not have a ruler. He does have some sheets of letter size paper 28 X 21.5 cm. Describe how Julio can use the paper to measur 15 cm.

Answered by Claude Tardif.
The substitution method 2001-03-05
From A student:
Solve each system of equations by the substitution method. Show your work.
  1. y = 8
    7x = 1 - y

  2. y = x - 1
    4x - y = 19

Answered by Penny Nom.
Powers 2001-03-04
From A student:
Hey, can you show me how you do ..

(2xy)to the 3rd power (x) to the 2nd power?


Answered by Penny Nom.
Coins and monomials 2001-03-04
From A student:
Tokola has 5 coins with a total value of $1.05. He canot make change for a dollar, 5 cents, 10 cents, 25 cent, or 50 cents. What 5 coins does he have?

and

Determine whether 6c-d is a monmial. Explain why or why not.


Answered by Penny Nom.
Arc of a sphere 2001-03-04
From Some students:
My friends and i have a geometry project and we cannot seem to figure out how to find the arc of a sphere.
Answered by Harley Weston.
What is the value of n? 2001-03-03
From Adam:
When I add n to 7 and then divide my answer by 4,I get 5. What is the value of n?
Answered by Penny Nom.
 
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