4m.
You can get this answer by setting the legs equal to x and x+4 and the hypotenuse as 2x-4. Then use the Pythagorean Theorem and the quadratic equation to solve.
d)

Product rule:

Chain and power rules:

Power rule:

Now simplify.


e)

Quotient rule:


Power rule:

Now simplify.



f)

Chain rule:



We can further simplify this to

using the double angle identity for sine.
Let θ = m∡I
tan θ = 20/21
tan⁻¹ (20/21) = θ
θ ≈ 43.60° or if you need to round to another decimal point, plug the equation I put in bold into a calculator.
Multiply the cost by 1 + markup :
180 x 1 +0.55 =
180 x 1.55 =279
The answer is D. $279