Fine the measure of the angle formed by the radius and the side of a regular dodecagon.
1 answer:
Answer:
Option D.75°
Step-by-step explanation:
we know that
The sum of the interior angles of a regular dodecagon is equal to
where
n is the number of sides
In this problem
n=12 sides
substitute
Find the measure of each interior angle
Divide the sum of the interior angles by the number of sides
The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle
therefore
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Answer:
Step-by-step explanation:
we have
This is the equation of the line in point slope form
where
The slope is m=1
The point is (4,8)
Convert to slope intercept form
Isolate the variable y
Adds 8 both sides
Combine like terms
Convert to function notation
Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!