A50 ft tall tree is casting a shadow while the sun is at an angle of elevation of 63  . to the nearest foot, how long is the tree's shadow?

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?

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

Find the probability that -0.3203 < = z < = -0.0287 find the probability that -0.5156 < = z < = 1.4215 find the probability that 0.1269 < = z < = 0.6772