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
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11 <-- The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88 <-- The profit the restaurant makes per egg is 88 cents.
Hope this helps.
It is a mixed number because 12/2 can be written as 6 instead of 12/2
Answer:
Step-by-step explanation:
So, we started out with 128 ounces of milk.
Each day, Joann drinks 14 ounces of milk.
Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.
Therefore, our function is:
And we're done!
