There are two (equivalent) formulas for the circumference of a circle:
C = 2 pi r, where r is the radius of the circle
C = pi d, where d is the diameter of the circle
In this particular problem, however, we're dealing with arc length. For the shown central angle "theta" = 160 degrees, the arc length is 42 cm.
Knowing this enables us to calculate the radius or diameter of the circle.
Arc length = s = (radius) (central angle, in radians, not degrees)
First, convert 160 degrees to radians: 160 deg pi rad
----------- * ------------ = (8/9) pi rad
1 180 deg
Then 42 cm = r *(8/9) pi rad
Solve for the radius (r): divide 42 cm by (8/9) pi rad
Then use the formula for circumference introduced earlier:
C= 2 pi r Substitute [42 cm / ( (8/9) pi rad )] for r.
Simplify your result, and you will then have the circumference, C, in cm.
Answer:
and do not lie on the line
Step-by-step explanation:
Given
Required
Determine which points that are not on the line
First, we need to determine the slope (m) of the line:
Where
So;
Next, we determine the line equation using:
Where
becomes
To determine which point is on the line, we simply plug in the values of x to in the equation check.
For
and
Substitute 4 for x and 2 for y in
<em>This point is on the graph</em>
<em></em>
For
and
Substitute 4 for x and 3 for y in
<em>This point is not on the graph</em>
<em></em>
For
and
Substitute 7 for x and 2 for y in
<em></em>
<em>This point is not on the graph</em>
<em></em>
<em></em><em></em>
<em></em> and<em> </em><em></em>
<em>Substitute </em><em> for x and </em><em> for y in </em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em>
<em>This point is on the graph</em>
Supplementary angles are 180 in total, so to find the answer you do 180-10, which equals 170. The answer is 170
Answer:
9+15i
Step-by-step explanation: