Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on the circumferen
ce. She kept making arcs until she met her starting point. What figure will she form if she joins the arc marks in order?
A. an irregular hexagon
B. no figure will be formed
C. a regular hexagon
D. overlapping triangles
A. an irregular hexagon
B. no figure will be formed
C. a regular hexagon
D. overlapping triangles
2 answers:
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Answer:
Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to
we have
so
simplify
------> equation A
Remember that the area of rectangle is equal to
----> equation B
substitute equation A in equation B
----> this is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point
see the attached figure
so
Find the value of y
The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
