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A stained glass lamp |
2011-07-25 |
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From Guy:
Like Kay, I also work in stained glass, but in 3-dimensions. I am
frequently asked to replicate lamp shades in stained glass where the
diameter of the top is different (narrower) from the diameter of the
bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,,
n-sided shades. Is there a formula I can use to determine the width
of the sides using the angle, if I remember correctly, I think it's
called theta. In other words, is there a formula where I can plug
in the angle which describes the arc of the circle. For instance, if
someone asks for a 7 sided shade, plugging in 51.43 (360/7). I
could then use that to determine the width at the top and bottom
rings to create the appropriate trapezoids. I've visited a few sites
so the formula looks like its a function of sin & cos but they are
presented like proofs for teaching. Your site appears to want to
actually answer questions without making the inquirer feel stupid.
Answered by Harley Weston. |
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The height of a fluid in a horizontal tank |
2011-07-24 |
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From jason:
Same set up as many others, cylindrical tank on its side, but I am interested in defining the change in volume and/or fluid level as a function of time at a constant volumetric outflow. I plan on hooking a pump to the tank so "gpms' will be constant. I have a couple different sized tanks and pumps so I want a general equation. Thanks for your help.
Answered by Harley Weston. |
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A cylinder fits perfectly in a box |
2011-07-18 |
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From Brix:
A cylinder fits perfectly in a box. 76 cubic inches of oil is poured into the space between the cylinder and the box, filling the space halfway. If the box is 3ft wide, how tall is the cylinder in inches?
Answered by Stephen La Rocque. |
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A regular hexagon inscribed in a circle |
2011-07-18 |
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From Courtney:
If ABCDEF is a regular hexagon inscribed in a circle of
radius r, prove that the length of each side of the hexagon
equals r.
Answered by Penny Nom. |
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A rectangle is inscribed in a circle |
2011-07-17 |
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From Alexea:
A rectangle is inscribed in a circle of diameter 15in. Express the perimeter as a function of the width x.
Answered by Penny Nom. |
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A linear equation with fractions |
2011-07-13 |
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From Simon:
I would like to ask if you would be able to explain : linear equation: 2 1/2 (X-1) - x+3 /3 = 4 , the first step shows multiplying by 2 then multiplying by 3. etc. What I don't understand is where the 2 in multiplying by 2 comes from? ( the three is pretty obvious being x+3 /3 (to get rid of the divided by) ) .
Thanks for your help.
Answered by Penny Nom. |
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Fencing around a pool |
2011-07-12 |
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From Anita:
The measurement of a swimming pool are 32 feet by 18 feet. How much fencing is needed if the fence is to be built 7 feet from each side of the pool?
Answered by Penny Nom. |
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A group of 40 golfers |
2011-07-11 |
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From Doug:
We are a group of 40 golfers who play in 10 x foursomes playing 3 rounds. Can we all play with different players each round yet maintain the foursomes format.
Answered by Victoria West. |
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Golf for 14 |
2011-07-11 |
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From Doug:
We have 14 players playing over 4 days. can we play with different players every day and keep the 3 x foursomes and 1 x pair format
Answered by Victoria West. |
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Two piles of cards |
2011-07-09 |
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From maribie:
a standard deck of playing cards contains 26 black cards and 26 red cards, or 52 cards in all. a deck is randomly divided into two unequal piles, such that the probability of drawing a red card from the small pile is 1/3. at the same time, the probability of drawing a black card from the larger pile is 5/14. how many cards are in the larger pile?
Answered by Penny Nom. |
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Golf for 12 |
2011-07-07 |
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From Jim:
I have a golf trip scheduled with a total of 12 guys. We are playing
three rounds of golf. For round 1 Players A B C D must play together.
Is there a formula that would allow me to set up the other 8 foursomes
with no repeats or minimal repeats?
Thanks.
Answered by Victoria West. |
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concentric circles |
2011-07-06 |
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From maribiie:
two circles are concentric. the tangent to the inner circle forms a chord of 12cm in the larger circle. find the area of the "ring" between the two circles?
Answered by Penny Nom. |
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Achilles and a turtle |
2011-07-01 |
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From Jean:
Achilles and a turtle are having a race. The turtle starts 45m ahead of Achilles and Achilles is twice as fast as the turtle. If turtle runs at 1m/s,how far would the turtle have run before he is outrun by Achilles?
Answered by Penny Nom. |
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A one year investment |
2011-07-01 |
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From Jean:
If the yearly income from an investment is $30 and the annual interest rate is 12%,what is the original investment?
Answered by Penny Nom. |
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The nth term of a sequence |
2011-07-01 |
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From Rachel:
I am trying to help my son get ready for our Aims test and I am not much help. The sequence is 2,5,10,17 The question is which equation represents the rule for finding the nth term for this sequence
a. an=n + 1
b. an=2n2
c. an=n2+1
d. an=2n+1
Answered by Penny Nom. |
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