By visiting homes door-to-door, a municipality surveys all the households in 31 randomly-selected neighborhoods to see how resid
1 answer:
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Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed =
1. total distance covered = +
=
=
= 4 inches
Total time taken = +
=
=
= 3 minutes
The ants average speed =
= 1
= 1.5
The ants speed is 1 inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x =
=
= 0.05 hours
Speed =
= 90 inches per hour
The red ants speed is 90 inches per hour.
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.
