On a coordinate plane, 5 parallelograms are shown. parallelogram l m n p has points (3, 1), (4, 1), (4, 3), and (5, 3). figure d is reflected across the x-axis. figure b is reflected across the y-axis. figure c is rotated in the first quadrant. figure a is rotated in the third quadrant.
which figure represents the image of parallelogram lmnp after a reflection across the line y = x?
figure a
figure b
figure c
figure d

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?