Answer:
The answers are
and
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:



Then, let's do 5:



Note that we already have
, so we do not need to include an additional one.
Now, let us do 8:



See how we already have
, so we won't have to include that as well.
Finally, let's do 20:



Now see that we already have both
and
, so we won't have to include both of them, as they are both extras.
Hence, the answers are
and
.
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Answer:

(Assuming you want your answer in radians)
If you want the answer in degrees just multiply your answer in radians by
giving you:
.
We can do this since
(half the circumference of the unit circle is equivalent to 180 degree rotation).
Step-by-step explanation:
is going to output an angle measurement in
.
So we are looking to solve the following equation in that interval:
.
This happens in the second quadrant on the given interval.
The solution to the equation is
.
So we are saying that
implies
since
.
Answer is
.
7 cm, it’s a step by step equation
Answer:
y = 18.1x
; and y = 18x
Explanation:
The rate of change in Relationship B can be found by using the formula for slope:

Using the first two points, we have

We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).
The slope of the first equation is 18.1; this is less than 18.25.
The slope of the second equation is 18.6; this is greater than 18.25.
The slope of the third equation is 18.3; this is greater than 18.25.
The slope of the fourth equation is 18; this is less than 18.25.
Answer:Translation
Step-by-step explanation: