That is a distance formula I was gonna type it but I didn’t have the symbols so use the picture attached.
Answer:
This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;
nth=ar^(n-1)
where;
a=first term
r=common ratio
n=nth term
Thus
a=8.50
r=(8.85)/(8.50)=1.0412
thus the formula will be:
nth=8.50(1.0412)^n
-8-4y=-5x
-4y=-5x+8
y=5/4x+2
slope= 5/4
y-intercept=(0,2)
If the inscribed square has sides of 8in, the diameter of the circle is equal to the diagonal of the square.
d^2=x^2+x^2
d^2=2x^2
d=√(2x^2)
Since d=2r, r=d/2 so
r=(1/2)√(2x^2)
r=√((2x^2)/4)
r=√(x^2/2), since x=8
r=√(64/2)
r=√32
r=√(16*2)
r=4√2 in (exact)
r≈5.66 in (to nearest hundredth of an inch)
