Answer:
3 sin(41t) - 3 sin(t)
Step-by-step explanation:
The general formula to convert the product of the form cos(a)sin(b) into sum is:
cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]
The given product is:
6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]
Comparing the given product with general product mentioned above, we get:
a = 21t and b = 20t
Using these values in the formula we get:
6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]
= 3 [sin(41t) - sin(t)]
= 3 sin(41t) - 3 sin(t)
Therefore, second option gives the correct answer
Answer:
D: 768
Step-by-step explanation:
First, he divides a piece of paper in half.

He gets two pieces.
Next, he cuts each of the pieces into three parts.

Thirdly, he cuts each of the 6 pieces into 8 pieces.

Lastly, he divides each piece into 16 parts.

He has 768 pieces in the end. (D)
Answer:
A. True
B. False
Step-by-step explanation:
B is false because rational numbers have either repeating decimals or numbers that come to an end.
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points 
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:

Plugging the values of
in the above equation we find:




This is the required equation of line in the form 