Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one-quarter of a mile (1,320 feet). From one child's house to the other, the walk along the sidewalks is as follows: Proceed 450 feet from the first house to the nearest corner, turn right 90 °, and proceed another 1,050 feet.

Are the children's houses within the 1,320-foot range of one another? Choose the best answer.

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?