Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
Answer:
18
Step-by-step explanation:
1/3 * 18 = 6 or 6/(1/3) = 18 or 6 * 3 =18
Answer: 
Step-by-step explanation:
The volume of a cube can be found with this formula:

Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:

Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

Then the volume of the shipping box is:

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

Answer:
slope (m) = -50 or -50x
Step-by-step Explanation
I'm assuming that the x-axis is divided by 1 minute segments.
The slope is defined as "the change in y-coordinate" divided by "the change in x-coordinate"
Since the y value is decreasing (negative) 50 feet per minute, then it is safe to say that the slope is -50 (feet)/ 1 minute
Therefore... the slope is -50 or -50x depending on the answer the assignment is looking for