Relative to the center of a town, a power line runs on a straight line from a point 10 miles north of the town to a point 5 miles east of the town. A spur line is to be built from this mainline to the center of town. The cost to build a spur line is 45,000$ per mile. (hint let the town be at the organ and minimize the distance between the organ and the line y=10-2x.) a.) At what point along the power line should the spur line be built in order to minimize the cost of the spur?

b). what is the minimum cost?

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?