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
Answer:
C
Step-by-step explanation:
A modified box plot does not include the outliers in the whiskers, instead they are points outside of the whiskers
5,25,33,34,34,37,37,40,42,45,45,46,46,49,73
This data has 2 outliers 5 and 73 so we have 2 choices for a modified box plot D or D
The lowest value outside of the outliers is 25 , so C would be the logical choice
D has the lower end of the whisker too close to the outlier
Answer:
6.25
Step-by-step explanation:
Putting 6 in place of x we get the answer

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