Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle
that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

However, since we are in the 3rd quadrant, the actual angle is:

So now we can find the cosine of the angle, which will be negative:

Answer:
9
Step-by-step explanation:
The range is the biggest number minus the smallest number
The biggest number in this set is 10
The smallest number is 1
10-1=
9
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:
Rita's total wages = 11r + 32
Tina's total wages = 11t
Answer: If you're talking about the answer to 8*8*3 (192) to the second power, the answer is 36,864. If you're talking about 8*8*3^2 (with the three being the number with the raised power), the answer is 576
Step-by-step explanation:
8x8x3=192
192^2=192x192= 36,864
8x8x3^2=576