 |
|
|
|
|
|
|
|
|
Mathematical induction |
2007-11-27 |
|
From Angels:
Please help! Prove the formula for every positive integer
1^3+2^3+3^3+4^3+...+n^3=n^2((n+1)^2/4)
Answered by Harley Weston. |
|
|
|
|
|
|
The perimeter of Wisconsin |
2007-11-26 |
|
From Kyle:
I am doing a project and I need to figure out the total perimeter of wisconsin in miles
and only know the square miles of Wisconsin which is 65,503 and I need to get that to miles
I have no clue how to do this. I've looked all of the computer for answers but got none.
Thanks
Answered by Leeanne Boehm and Penny Nom. |
|
|
|
|
|
|
Will the container hold all the liquid? |
2007-11-26 |
|
From john:
a bottle contains 750 ml of oil. the oil is poured into a container 12 cm high and with a square base of side 10cm.
(a) will the container hold all the liquid
(b) if the answer to (a) is 'no', how much liquid will be spilt?
(c) if the answer to (a) is 'yes', how much more liquid will the container hold?
Answered by Leeanne Boehm. |
|
|
|
|
|
|
Rotating letters |
2007-11-26 |
|
From sherry:
Ms. Thomas said to her class, when my older was little his nickname was Zed. The nickname my brother gave me was like his but with the first letter turned 90 degrees the second letter changed to the first letter of the alphabet and the third letter turned a half rotation. Does anyone know what my nickname was. My brother gave me the nickname because I slept too much. Could you please explain this to me so I can help my child solve it. Thanks
Answered by Leeanne Boehm. |
|
|
|
|
|
|
A mystery shape |
2007-11-26 |
|
From Daniel:
I am in year 3 and have been given some homework to do with my mum.
Question is: my shape has two circular faces and one curved face. It has two edges and no vertices. Can you help me identify the shape please.
Answered by Penny Nom. |
|
|
|
|
|
|
How many cubic feet are in this box? |
2007-11-26 |
|
From Julio:
My son has a box that measures 27X18X19 inches. We want to know how many cubic feet are in this box.
Answered by Penny Nom. |
|
|
|
|
|
|
Straight lines |
2007-11-26 |
|
From Divyansh:
hello
i am in eleventh class and am, preparing a project on straight lines
i cant really find uses of straight lines and its equations in daily life
i am also thankful to you in advance and am waiting for your answer eagerly because i need to submit my project only this week
thanking you
Answered by Penny Nom. |
|
|
|
|
|
|
Find the centroid |
2007-11-26 |
|
From josh:
vertices X(-2,6) Y(4,10) Z(14,6) find the coordinates of the centroid
Answered by Stephen La Rocque. |
|
|
|
|
|
|
An isosceles triangle |
2007-11-26 |
|
From Nancy:
I needed to help my 9th grade daughter regarding a geometry problem. After a while I realized I am not getting anywhere. I saw that in 2005 someone asked the same question and you gave them a hint. Unfortunately it still did not help. Because I had figured that much!Can you kindly help me proof this problem?
PX and QY are attitudes of acute triangle PQR, and Z is the midpoint of PQ. Can you write a proof that triangle XYZ is isosceles?
I am sure it is something simple I am missing, but I just can not seem to be able to see it. Thank you much.
Answered by Harley Weston. |
|
|
|
|
|
|
Completing the square |
2007-11-26 |
|
From Julie:
x^2 - 6x = 16 Please, Help I am stuck on this math problem. I need to solve by completing the square. I need the steps of solving the problem and the answer, Please.
Answered by Penny Nom. |
|
|
|
|
|
|
Positive divisors |
2007-11-26 |
|
From joan:
How many positive divisors of ((2^20)*(5^20))^2 are less than (2^20)*(5^20) but do not divide (2^20)*(5^20)?
Answered by Victoria West. |
|
|
|
|
|
|
Maximize the product |
2007-11-25 |
|
From David:
Hi i have this site call calcchat.com, but i dont understand how they explained this can you take a look? The question is:
Direction: Find two positive numbers that satisfy the given requirements.
The sum is S and the product is a maximum
this is what they did
1) Let x and y be two positive numbers such that x + y = S
2)P = xy
3) = x (S - x)
4) =Sx - x^2
5)...etc. the thing i dont get is how did they go from step 2 to step 3
and also i know this sound dumb but how did they get step 2? =)
Answered by Harley Weston. |
|
|
|
|
|
|
Two cars going in opposite directions |
2007-11-25 |
|
From alexa:
two cars leave town at the same time going opposite directions. one of them
travels at 55 mph and the other at 65 mph. in how many hours will they be
150 miles apart?
Answered by Penny Nom. |
|
|
|
|
|
|
The volume of a soccer ball |
2007-11-25 |
|
From Ria:
A student of me is working on a paper about soccer and math/physics. He wants to calculate the volume of the ball, which is composed of 5- and 6-sided pyramids. We are looking after a formula to express the volume of these pyramids in function of the radius of the ball (and if possible how we can derive this formula). Afterwards we'll try to calculate the difference with the volume of a sphere with radius r.
Answered by Stephen La Rocque. |
|
|
|
|
|
|
A rectangular plot of farmland |
2007-11-25 |
|
From Christy:
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
Answered by Harley Weston. |
|
|
