 |
|
|
|
|
|
|
|
|
Maximize the volume of a cone |
2007-04-27 |
|
From ashley:
hello,
I've been stumped for hours on this problem and can't quite figure it out.
The question is: A tepee is a cone-shaped shelter with no bottom. Suppose you have 200
square feet of canvas (shaped however you like) to make a tepee. Use
calculus to find the height and radius of such a tepee that encloses the
biggest volume.
Can you help??
Answered by Stephen La Rocque and Penny Nom. |
|
|
|
|
|
|
(a-b)/b = c |
2007-04-27 |
|
From Adam:
What does
(a-b)/b = c
represent when c is a percentage?
Answered by Penny Nom. |
|
|
|
|
|
|
A line parallel to a given line |
2007-04-26 |
|
From vincent:
I forgot how to write the equation of the line satisfying the given conditions
through (2,-3) parallel to 2x=3y+5
and how would you graph this
Answered by Penny Nom. |
|
|
|
|
|
|
(1+i)^(2-i) |
2007-04-26 |
|
From Eilis:
How do I solve (1+i) to the power of 2-i?
i.e. (1+i)^(2-i)
Answered by Penny Nom. |
|
|
|
|
|
|
Complementary and supplementary angles |
2007-04-26 |
|
From Tracey:
I have looked at your answers for students asking if groups of more than
two angles can be considered either complementary or supplementary.
Your answer is basically "no" because of historic definition. However, I
present to you the following case to consider:
Segments AB, CD and EF intersect at point G creating 6 angles
numbered 1-6 in a clockwise manner. If Angle 1=25 degrees, and
angle 2 = 106 degrees, would the only way to calculate the measures of
angles 3 and 6 not be to consider the definition of supplementary angles?
And, if one was to be doing a proof of this, would not the reason be "definition
of supplementary angles"?
This, then, creates a group of 3 angles that are supplementary.
Help me correct my logic if it is flawed.
Answered by Penny Nom. |
|
|
|
|
|
|
The sum of two or more consecutive integers |
2007-04-26 |
|
From nana:
some numbers can be written as the sum of two or more consecutive integers(we consider positive integers only)
other number (eg. 4) cannot be express in this way.
let us call a number which can be expressed in this way a SOALTCI( sum of at least two consecutive integers)
a). list the first few SOALTCI and conjecture the general formula.
b). Prove that any number of the given form(in your answer (a)) is a SOALTCI
Answered by Penny Nom. |
|
|
|
|
|
|
An average homework grade |
2007-04-26 |
|
From vince:
If your homework grades is only 15% of the total grades and with an average
homework grade of 90% what is your earn point for the homework
earn point = average times percent
Answered by Stephen La Rocque. |
|
|
|
|
|
|
The area of a hexagon |
2007-04-26 |
|
From Amber:
could you explain how to find the area of a hexagon?
Answered by Stephen La Rocque. |
|
|
|
|
|
|
Producing chocolate bars |
2007-04-26 |
|
From anne:
If you have to produce an average of 114 bars of chocolate over 7.5 hours how many do you have to produce over 9.5 hours.
Answered by Penny Nom. |
|
|
|
|
|
|
The vertices of a hexagonal pyramid |
2007-04-26 |
|
From Madeline:
How many vertices does a hexagonal pyramid have??
Answered by Penny Nom. |
|
|
|
|
|
|
Paying off a debt |
2007-04-26 |
|
From Ema:
How would you enter a formula in Excel for the following:
payment is applied to principal balance, then 8% interest
compounded daily, then .25% monthly penalty
Answered by Stephen La Rocque and Penny Nom. |
|
|
|
|
|
|
Two parallel lines |
2007-04-25 |
|
From prasanna:
Let me know the Equation of a line which is parallel to some other line at a distance of Dmts.
Answered by Penny Nom. |
|
|
|
|
|
|
A cylinder inside a sphere |
2007-04-25 |
|
From Louise:
i need to find the maximum volume of a cylinder that can fit inside a sphere of diamter 16cm
Answered by Penny Nom. |
|
|
|
|
|
|
A linear system |
2007-04-25 |
|
From Tee:
2x -y =5
2x +=y =5
and also
3/7x + 5/9y =27 (fractions)
I have to find the addition method to both problems
Answered by Penny Nom. |
|
|
|
|
|
|
How many tons of sand is needed |
2007-04-25 |
|
From Jennifer:
How many tons of sand is needed to cover 350 cubic square feet?
Answered by Penny Nom. |
|
|
