12t - 4-7t = 5t-4
1 answer:
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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.
Answer:
Option C.
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
where
B is the area of the triangular base
H is the height of the prism
Convert 9 ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
<em>Find the area of the base B</em>
we have
substitute the values in the formula