If I were you I would download this app called photomath. it's a good app it solves all the problems for you
To find the hypotenuse of a 45 45 90 triangle, multiply the leg by sq root (2)
8 * sqrt(2) = 8 *
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1.4142135624
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=
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11.313708499
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Source:
http://www.1728.org/trig2.htm
Answer:
x = 9
Step-by-step explanation:
I think you wrote the question wrong (I am assuming that there is a x next to the -3).
Subtract 7
-27 = -3x
divide by -3
9 = x
Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
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You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
