I need help if you get it right I will mark you as brainlest
1 answer:
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Answer:
C. x = 18, y = 9
Step-by-step explanation:
In a 30-60-90 triangle,
longer leg = (shorter leg)
hypontenuse = 2(shorter leg)
In your case, the shorter leg = 9
therefore, y = 9 and x = 2(9) = 18
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon =
Therefore, angle at the center of a dodecagon = = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle =
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle =
=
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
