<u>Given</u>:
The given expression is 
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by
Applying the exponent rule that 
in the above expression, we get;
Adding the exponents, we get;
Again, applying the exponent rule 
, we get;
Thus, the simplified expression is 
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
Question should be sin 20 cos 10 + cos 20 sin 10
remember sin (a+b) = sin a cos b + cos a sin b ?
sin 20 cos 10 + cos 20 sin 10
= sin (20+10)
= sin 30
= 1/2
N=4
Remove the parentheses, move the terms, collect like terms,calculate, divide both sides
Answer : 4
Explanation:
9 1/2 cups of flour makes 1 batch of cookies so make that into a decimal: 9.5
and take 38 divided by 9.5 and you get your answer.
Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted 40 cars in total:
W + Y = 40
So we get the system:
In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0
Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36
So He counted 36 white cars.
Hope this Helps! :)
