First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.

. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2
Answer: Rate of A: 5/6
Rate of B: 3/5
A has a higher rate of change
Step-by-step explanation: You calculate slope/rate of change by determining the rise over the run. The rate of change in A is 5/6x, this is bigger than the slope of B.
Answer:
The quotient contains a terminating decimal and The quotient is a whole number less than 11.
Step-by-step explanation:
To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case:
. So q is equal to =0.08823529411.
Analyzing the number: 0.08823529411
This is not a repeating decimal, but it is a terminating decimal for it has an end.
The quotient is also a whole number less than 11.
The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.
105/495
I think that is the answer
Answer:
( 1+t , -1+t , 5-t )
Step-by-step explanation:
Direction vector:
( 5-1, 3+1, 1-5) = (4, 4, -4)
You can also take a scalar multiple
So, I'm using (1, 1, -1) as the direction vector
x(t) = 1+t
y(t) = -1+t
z(t) = 5-t