assume the square side = x, then its circumference = 4x
so the circle circumference would be 89 - 4x which equals 2pi r
so x = 1/4 (89 - 2pi r)
now A(r) = x^2 + pi r^2
= [1/4 (89 - 2pi r)]^2 + pi r^2
diff. w.r.to r u get:
dA/dr = 1/8 (89-2 pi r)(-2 pi) + 2 pi r = 0
2pi r - pi/4 (89-2 pi r) = 0
2r - (89 - 2 pi r)/4 = 0
2r + pi r /2 = 89/4
mult. the eqn by 4 and solve for r u get:
r = 89 / (8 + 2pi) cm
and the circle circumference = 2 pi r = 2 pi 89 / (8 + 2pi)
= 178 pi / (8 + 2pi) = 89 pi /(4 + pi) cm
hope this helps
Answer:
what is your question
Step-by-step explanation:
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Answer:
y = 0.1x+200
Step-by-step explanation:
First, let's establish that:
x is independent
y is dependent
Basically, the value of y will depend on what x is.
The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)
The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200
now, the equation is:
y=0.1x+200
Hope this helps!
Answer:
I attached a picture below of what the lines of symmetry are.
