SOLUTION: A rectangular piece of stainless steel that is 24 inches wide is folded at the middle so as to form a gutter with a triangular cross-section that is 6x inches across the base. Exp

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Question 1058651: A rectangular piece of stainless steel that is 24 inches wide is folded at the middle so as to form a gutter with a triangular cross-section that is 6x inches across the base. Express the area of the cross section as a function of x, And find the domain.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A rectangular piece of stainless steel that is 24 inches wide is folded at the middle so as to form a gutter with a triangular cross-section that is 6x inches across the base.
Express the area of the cross section as a function of x,
:
Find the height (h) of the triangle using pythag, a^2 + b^2 = c^2 where
h = the hypotenuse (c)
a = 12
b = 3x
h =
h =
find the area of the triangle; A = *b*h
A(x) = *
cancel 2
A(x) =
:
And find the domain. x > 0; x < 4

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