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 one year ago
What is the side length of the smallest square plate on which a 20cm chopstick can fit along a diagonal without any overhang? Round your answer to the nearest tenth of a centimeter.
 one year ago
What is the side length of the smallest square plate on which a 20cm chopstick can fit along a diagonal without any overhang? Round your answer to the nearest tenth of a centimeter.

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dumbcow
 one year ago
Best ResponseYou've already chosen the best response.1use fact the diagonal of a square is sqrt2 times side length dw:1375640019150:dw

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0dw:1375640072724:dw

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0is that how i need to set it up?

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1Looks good to me. Do you know where to go from there?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0eh not really well ....

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1I would use the pythagorean theorem to find the length of the sides. Does that help?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0so x^2+x^2=20^2 x^2+x^2=400^@

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1Before taking the square root, divide both sides by 2.

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1\(x^2+x^2 = 20^2\) \(2x^2=400\)

dumbcow
 one year ago
Best ResponseYou've already chosen the best response.1haha ok i guess you didn't get my drawing...you could just say \[\sqrt{2} x = 20\] \[x = \frac{20}{\sqrt{2}}\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0oh ok \[\frac{ 2x^2 }{ 2 }=\frac{ 400 }{ 2 }\] \[x^2=200\] \[\sqrt{x^2}=\sqrt{200}\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0dw:1375640872842:dw what do i do from here

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1Yes, that would be great if you were supposed to have a radical in your answer, but your question says to round to the nearest tenth, so use a calculator (or google) to get the square root of 200.

dumbcow
 one year ago
Best ResponseYou've already chosen the best response.1they want answer as decimal so no point in simplifying radical ...

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1You might want to save @dumbcow's original picture and equation to spend a rainy day in contemplation. If you can remember it the next time you need it, that would be a quicker way of getting to the answer.

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0well if i needed the simple radical i was headed right :DD

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0\[\approx 14.14\]

gypsy1274
 one year ago
Best ResponseYou've already chosen the best response.1Yes, you simplified the radical very well. And in later classes, you will probably need to leave your answer like that. Rounded to the nearest tenth is one place after the decimal....

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0\[\approx14\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0sorry i forgot that for a second

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0oh well i got that all mixed up

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0ty @gypsy1274 & @dumbcow
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