ILL GIVE BRAINLIST ON WHOEVER GETS IT RIGHT
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<em>Greetings from Brasil...</em>
According to the annex, we note that
1 qt = 1 quart = 0.95L
To solve this problem, just apply some rules of 3.....
1st - how many qt's are in 15.5 cups
qt cup
1 ---------- 4
X ---------- 15.5
4 · X = 1 · 15.5
4X = 15.5
X = 15.5 ÷ 4
X = 3.875qt
Last rule of 3 to know how many liters there are in 3.875qt:
qt litres
1 ---------- 0.95
3.875 ---------- Y
1 · Y = 0.95 · 3.875
<h2>Y = 3.68L</h2>In a day a young man should drink 3.68L of water
We'll use the following properties of sine and cosine to prove this:
Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16
Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16