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:
Find the LCD (least common denominator)
{5}/{6} and {1}/{4}
it would be 12 (6x2=12 and 4x3=12)
so you multiply {5}/{6} by 2 and get {10}/{12}
then multiply {1}/{4} by 3 and get {3}/{12}
you get 3 WHOLE servings from {5}/{6} cups of icecream
Step-by-step explanation:
Answer:
17.4 kilometers per week
Step-by-step explanation:
we know that
The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip
Remember that

so


Answer:
my g get a fraction calculator
Step-by-step explanation:
Answer:
165°
Step-by-step explanation:
Find the interior angle measure by using the formula, ((n - 2) x 180°) / n
Plug in 24 as n:
((n - 2) x 180°) / n
((24 - 2) x 180°) / 24
(22 x 180°) / 24
3960 / 24
= 165
So, the measure of each angle is 165°