A. 2, 200, 2000
This is multiplying the number by 10 each time. In other words, just adding an extra zero to the end of it.
b. 340, 0.034
This one is moving the decimal place forward two places. 10^-2, so removing two zeros from the end of it until eventually you reach decimals and have to move the decimal forward twice, which is essentially what you're doing here.
c. 85700, 857, 0.857
In this one, you remove one zero from the end. You move the decimal forward once when you reach the decimals. This would be 10^-1
d. 444000, 4440000, 44400000
In this one, you multiply each one by 10. Add on a zero to each one.
e. 0.095, 9500000, 950000000
You multiply this one by 10^2, so the number increases.
distance = speed * time
the first bus speed = x
second bus = x - 12
the sum of distance = 765 miles
first distance = 6x
second distance = 6 (x -12)
6x + 6(x-12) = 765
x + x -12 = 127.5
2x = 139.5
x = 69.75 mi/h which is the faster bus
the second bus speed = 57.75 mi/h
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:
x=8
Step-by-step explanation:
When trying to figure this out, you may see that x might be 8. Since the angels are all 120 degrees and equal up to 360 degrees (full size,) x will equal 8.
1/18 can't be simplified because 1 cant be simplified. What ever happens to one side of the equation happens to the other, so nothing can happen to the 1 so nothing can happen to the 18
It cant be simplified