Question One Find the centre of mass of the uniform lamina ABCDE shown below. E бст 307 10cm B A The shape is symmetrical about the line through C.

Find the surface area.

A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds pistachios, 10 pounds cheese puffs, 60 pounds sesame sticks, and 20 pounds toffee bites. Mixture X contains 55% pretzels, 20% pistachios, 5% cheese puffs, 20% sesame sticks, and no toffee bites, and sells for $7.99 per pound. Mixture Y contains 45% pretzels, 10% pistachios, no cheese puffs, 10 % sesame sticks, and 15% toffee bites, and sells for $5.99 per pound. If x = # of pounds of Snack X and y = # of pounds of Snack Y, determine the constraints on this linear programming problem. Inequality for pretzels [ Choose ] Inequality for pistachios ( Choose] Inequality for cheese puffs ( Choose ) Inequality for sesame sticks [Choose ] Inequality for toffee bits [ Choose ) Non-negativity inequalities [ Choose ] >

Questio v 6 V8 Consider AGHJ In the figure below. The perpendicular bisectors of Its sides are KN, LN, and MN. They meet at a single point N. (In other words, N is the circumcenter of AGHJ.) Suppose LN= 78, GJ=94, and GN= 130. Find HN, LJ, and GK. Note that the figure is not drawn to scale. HN = GK =| K Check