Question

Carol wants to make a sculpture using brass and aluminum, with the dimensions shown below, Aluno Bree The area of the aluminum section can be found using the equation 1 1 А zah - 1 3 bh 2 Which of the following shows the aluminum section's area formula solved for me A h=2A(a - b) B. 2A h= ab С. A h= 2(a - b) D. h Ala-b) 2​

Answer 1

The aluminum section's area formula solved for h is $h =\frac{A}{a - b}$

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

$A = ah - bh$

Factor out h from the expression on the right-hand side

$A = h(a - b)$

Divide both sides of the equation by (a - b)

$\frac{A}{(a - b)} = h$

Remove the bracket

$\frac{A}{a - b} = h$

Rewrite the above equation as follows:

$h =\frac{A}{a - b}$

Hence, the aluminum section's area formula solved for h is $h =\frac{A}{a - b}$

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