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laila [671]
3 years ago
12

In the figure, ABCD is a square centered at the origin with side length 2a. What are the coordinates of the​ vertices? 

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0
Work shown above! Vertices are:
A ( -a,-a)
B (-a,a)
C (a,a)
D(a,-a)
*in the pic it says "since the side length is a" suppose to say 2a

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3 0
3 years ago
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

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The second way is to use this formula:
r = s / (2 sin(180 / n))
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(40)sin(22.5) = s
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We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
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Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
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Is 61/100 bigger than, less than, or equal to 2/5
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Reika [66]

Answer:

I believe it to be C

Step-by-step explanation:

3 0
2 years ago
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