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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 280: copy(165bc06c22be7c5329fb76072ce77ee1.png): failed to open stream: No such file or directory
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 280: copy(165bc06c22be7c5329fb76072ce77ee1.png): failed to open stream: No such file or directory
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 280: copy(477a4c2f146d38460cd8ac21f3cfab42.png): failed to open stream: No such file or directory
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[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 235: fopen([ROOT]/latexrender//tmp/477a4c2f146d38460cd8ac21f3cfab42.tex): failed to open stream: No such file or directory
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 236: fputs() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 237: fclose() expects parameter 1 to be resource, bool given
[phpBB Debug] PHP Warning: in file [ROOT]/latexrender/class.latexrender.php on line 280: copy(477a4c2f146d38460cd8ac21f3cfab42.png): failed to open stream: No such file or directory
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forum.virtualchallengemeets.com • View topic - 2012-2013study guide

2012-2013study guide

I can do anything, as long as I have my handy-dandy Calculator.

2012-2013study guide

Postby lrp » Sun Mar 10, 2013 2:04 am

Ok guys if anyone can help I need assistance in 10h-36 11e-38 11g-37 12d-36
then in the geometry problems 04b-70 07e-60 08c-60 8e-60 10a-60 10d-60 11g-50
12e-49

It would be of great help thank you. If you people have time. Lol
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Re: 2012-2013study guide

Postby 007math » Wed Mar 13, 2013 10:02 am

10H-36

Her rate for biking is 1/7 mi/mmin and rate for walking is 1/25 mi/min (let us assume the store is 1 mile away). Therefore, we simply have the following equation to solve: [unparseable or potentially dangerous latex formula] so the percent traversed by bike was 72.2%.
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Re: 2012-2013study guide

Postby 007math » Wed Mar 13, 2013 12:07 pm

For 11E-38, find the radius in cm given the diameter value they have. Set this radius in cm equal to the distance a carbon atom moves, plugging in for each constant, and using solver you should find the temperature in Kelvin. Subtract 273 to make the temperature in Celsius.
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 12:22 am

11G-37

Using the transitive property
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

Solving both for b and setting adding 15, the distance between the functions, to the leftmost function gives,
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 12:46 am

12D-36

Your goal is to find when the degrees are equivalent.

Your minute hand is easy since it's at the halfway point or [unparseable or potentially dangerous latex formula]

Since there are 60 minutes in a complete rotation, for each minute the hand moves [unparseable or potentially dangerous latex formula]

So your minute hand is modeled by the equation [unparseable or potentially dangerous latex formula]

Your hour hand is also affected by the minute hand, so will regard it's degrees in terms of minutes. 12 hours in a complete revolution, or 720 minutes. That means each minute moves the hand [unparseable or potentially dangerous latex formula]

At 5:30 330 minutes had passed by, so your degree measure then was [unparseable or potentially dangerous latex formula] and your hour hand equation is modeled by [unparseable or potentially dangerous latex formula]

Now you just have to solve when they equal each other. Note that it has to be positive.
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 1:04 am

7E-06
Lots of law of cosines


Find the side missing side of the bottom scalene triangle, I'll call it A.
[unparseable or potentially dangerous latex formula]

Now use this side to find the angle, I'll call it [unparseable or potentially dangerous latex formula] between A and the side with length 1.18 using the law of cosines.
You should get [unparseable or potentially dangerous latex formula]

Now find the angle left of [unparseable or potentially dangerous latex formula], which I'll denote [unparseable or potentially dangerous latex formula] using law of cosines.
[unparseable or potentially dangerous latex formula]

Now we need one final angle, the one needed to do the law of cosines on the bottom triangle, I'll denote it [unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

Now use the law of cosines to find your final answer, B.
[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 1:16 am

08C-60

Denote the side of the square as S.
[unparseable or potentially dangerous latex formula]

Rearrange and you get
[unparseable or potentially dangerous latex formula]

Which is just a quadratic equation that can be solved for S. Use the quadratic formula and disregard the negative value, for obvious reasons of course.
[unparseable or potentially dangerous latex formula]

Then just use trig to solve for the angle
[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 1:33 am

8E-60

Things to notice off the bat, 747 is your radius, and also the length of the equilateral triangle sides.

The area of your sector is some ratio, r, of the area of the entire circle. It is also that same ratio of degrees to the full circles 360 degrees. Find r
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

Find how many degrees that the sector is.
[unparseable or potentially dangerous latex formula]

The angles of the two isosceles and the equilateral triangle then must constitute the rest of the 360 degrees. Since you know the measure of the equilateral, 60 degrees, you can find the measure of the other angle.
[unparseable or potentially dangerous latex formula]

Your obtuse angle in that isosceles is thus
[unparseable or potentially dangerous latex formula]

Now use the law of cosines to find your long side D.
[unparseable or potentially dangerous latex formula]

Now to find the length you're looking for just subtract the length of the equilateral triangle and you're good.
[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 1:40 am

10A-60

The area of the semi-circle is[unparseable or potentially dangerous latex formula] and the area of your triangle with sides r and b is [unparseable or potentially dangerous latex formula]

Set them equal to each other and find [unparseable or potentially dangerous latex formula]

Now just use trig to find your angle.
[unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 1:58 am

11D-60

The circle area is trivial to find, but the rectangle requires a little trig.

We see that the rectangle is split into two right triangles with legs b and h and hypotenuse r. We're going to solve both b and h for r.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

Similarily, [unparseable or potentially dangerous latex formula]

Area of the rectangle is thus [unparseable or potentially dangerous latex formula]

Add that to the three-fourths of a circle you are given and you have
[unparseable or potentially dangerous latex formula]

Just plug in value and find [unparseable or potentially dangerous latex formula]
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Re: 2012-2013study guide

Postby Fredfredburger » Thu Mar 14, 2013 2:03 am

12E-49
The volume of an oblique cylindrical is exactly the same a right cylinder.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

Plug in values and find [unparseable or potentially dangerous latex formula]
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