James wants to tile his floor using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tile is 15 inches in length and the bottom base is 21 inches. how long of a cut will john need to make so that he cuts the tiles along the median?

Restrictions on f(x) = 1/x+5 and g(x) = x-2

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?

Find the values of the variables and the lengths of the sides of this kite.