Answer:
Radius of the circle is <em>15 inches.</em>
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Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
where is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
We know that
Converting to radians:
radians
Putting the values of and
to find the value of
Hence, Radius of the circle is <em>15 inches.</em>
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:
which is the first expression listed among your possible answer choices.