PLEASE SOMEONE HELP A LOT OF POINTS!!
2 answers:
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For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is
.
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus 
. A whole side of the triangle is 
. Multiply that by 3 to get the perimeter of <span>
.</span>