santa has lots of mixed up socks in his sack. if he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the
minimum he needs to pull out to get a matching pair?
2 answers:
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The quotient of two fraction is the multiplication between the first and the inverse of the second:
So, in your case, you have
So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:
So, now it is clear that
The height of this triangle would be 10.4
In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.
S =
In this, S is the length of the side and A is the area. So we plug in and get:
S =
S =
S = 12
Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.
h = 10.4