Lian has $1.00 . She has only nickles and dimes. Lian has twice as many dimes and nickles
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Answer:
See below.
Step-by-step explanation:
Convert the cotangent to cosine over sine:
Use the cofunction identities. The cofunction identities are:
To convert this, factor out a negative one from the cosine and sine.
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>
Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:
Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:
Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.
2 is the x-coordinate of the new point.
Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.
9/4 is the y-coordinate of the new point.
<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>