1 [5 + 5 + 5 = 15 marks] (a). Our super fly Lam flies 100m with the wind in 2 minutes. The return trip against the wind takes 2 minutes. Find the average speed of the wind and our super fly Lam. [Verify your answer using MATHEMATICA and attach the screenshot of the commands and output] (b). A right-angled triangle is to be constructed so that the hypotenuse is 20 cm long. The height of the triangle is 4 cm longer than the base of the triangle. Evaluate the length of each side of the triangle. [Verify your answer using MATHEMATICA and attach the screenshot of the commands and output] (c). A vat contains 4000 litres of wine with an alcohol content of 10%. How much of this wine must be removed so that, when it is replaced by a wine with an alcohol content of 17%, the alcohol content in the final mixture will be 12%? [Verify your answer using MATHEMATICA and attach the screenshot of the commands and output]