Answer:
B. 2 weeks
Step-by-step explanation:
1st week
Brian will have $40
Sarah will have $30
2nd week
Brian will have $50
Sarah will have $50
Answer:
Nick has to work 8 hours
Step-by-step explanation:
Nick makes 9 works x
Julia makes 12 works 6
first find out how much Julia makes you can do that by multiplying 12 by 6 witch = 72
and we know we are trying to find how many hours Nick needs to work to equal Julia so we knew they are equal
so we have 9X=72
we just have to solve...
divide 72 by 9
leaving use with X=8
Answer:
1/10
Step-by-step explanation:
there are 10 slices, so if the probability of it landing on one of them is 1/10
Answer:
1.0892*10²
Step-by-step explanation:
1.0892*10²
is a complex number that satisfies
![\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dr%5Ccos%20x%3D-3%5C%5C%5B1ex%5Dr%5Csin%20x%3D4%5C%5C%5B1ex%5Dr%3D%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D%5Cend%7Bcases%7D)
The last equation immediately tells you that
.
So you have
![\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Ccos%20x%3D-%5Cdfrac35%5C%5C%5B1ex%5D%5Csin%20x%3D%5Cdfrac45%5Cend%7Bcases%7D)
Dividing the second equation by the first, you end up with
Because the argument's cosine is negative and its sine is positive, you know that
. This is important to know because it's only the case that
whenever
. The inverse doesn't exist otherwise.
However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by
, we have
All this to say
So,
.
