Define the following sets: • a = {milk, coffee) • b = {bacon, ham} • c = {eggs, pancakes} list the elements of axbxc. 2. [tcs182) define the following sets as: • a = {tall, grande, venti} • b = {foam, nofoam} • c = {nonfat, whole} (a) write any element from the set a x b x c (b) write any element from the set b x cxa (c) list all the elements in b x c 3. tcs190) define the sets x = {a, b,c} and y = {1,2}. show the set x x y by listing the elements with set notation. 4. tcs124 let a = {+, - } what is a² ? express your answer as strings, not triplets (i. e., without the parentheses and commas). 5. tcs098) show the set {0,1}3 by listing the elements with set notation. you can specify each element as a string instead of including the parentheses and commas.

Use the formulas a = x 2 – y 2, b = 2xy, c = x 2 + y 2 to answer this question. one leg of a right triangle has length 11 and all sides are whole numbers. find the lengths of the other two sides. the other leg = a0 and the hypotenuse = a1

The perimeter of an equilateral triangle is 4 cm more than the perimeter of a square and the length of a side of the triangle is 8 cm more than the length of a side of the aware. find the length of a side of the equilateral triangle

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?