Hello There!
-What We Know-
Erin made 66 deviled eggs for a party.
After an hour 8 eggs were left.
X amount of eggs were eaten within the first hour.
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We subtract 8 eggs how many were left after the hour
From how many eggs we had in total.
66-8=58.
58 eggs were eaten within the hour.
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.
remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2
we said all side lengths are x so we can put x in for a and b and get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
that is the basic fundamental answer that will always work when working with diagonals of squares.
so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
Switch the x and y values and isolate y, then simplify.
x=6y+5
6y=x-5
y=1/6x-5/6
