One of the ancient stone pyramids in Egypt has a square base that measures 147 m on each side. The height is 102 m . What is the volume of the pyramid?

is it at 1530 hours? Jack drives north at \( 80 \mathrm{~km} / \mathrm{h} \) for 2 hours. He then turns and drives east at the same speed for 3 hours. (a) To the nearest degree, what is Jack's true bearing from his original position? (b) If Jack could drive from his current position straight back to his starting position: (i) how far would he travel, to the nearest kilometre (ii) what true bearing should he follow?

The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)

506 Un trapezio isoscele \( A B C D \) ha gli angoli adiacenti alla base maggiore \( A B \) di \( 45^{\circ} \). La somma della base mag- giore e del doppio della minore è 21 cm , mentre la som- ma della base minore e dell'altezza è 8 cm . Determina l'area del trapezio. [ \( \left.24 \mathrm{~cm}^{2}\right] \)

The length of the longer leg of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.