Mireille needs to cut 24in of ribbon for each of the 12 girls in her dance class. How many yards of ribbon will she need altoget
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<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get
Similarly, for a chain with 14 paper clips with length to be found, we get
Now by using eqn 1, we can calculate the length of 14 paper clips is,
Rearranging the terms we get,
Hence the length of chain with 14 paper clips is 21 inches.
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane. 
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2