Answer:
When
and
:

Step-by-step explanation:
-8ab can be seen as -8×a×b. Insert the given values:

Simplify multiplication from left to right:

Insert and solve:

:Done
Answer:
[(1/12)(5/5) + (1/20)(3/3)](x hours) = 1
(5/60 + 3/60)x = 1
(8/60)x = 1 we can reduce 8/60 by dividing out a 4
(2/15)x = 1 x both sides by 15/2
x = 15/2
x = 7 1/2 or 7.5 hours
Answer:

Step-by-step explanation:
Given:


Need:

First, let's look at the identities:
sum: 
difference: 
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) = 
cos(A) = 
sin(B) = 
cos(B) = 
Plug these values into the difference identity formula.


Multiply.

Add.

This is your answer.
Hope this helps!
Answer: each salesperson sold 89 cars last year.
Step-by-step explanation:
The total number of sales people at the dealership shop is 13.
Last year they each sold the same number of cars. The total number of cars that they sold together last year was 1157. Therefore, the number of cars that each salesperson sold would be
Total number of cars sold/ number of salespersons
It becomes
1157/13 = 89