Awall in maria’s bedroom is in the shape of a trapezoid. the wall can be divided into a rectangle and a triangle.

a trapezoid is shown. a straight line with length h is drawn to the opposite side to form a right angle. it splits the shape into a rectangle and a triangle. the length of the hypotenuse is 13 startroot 2 endroot feet. the other angles of the triangle are 45 degrees.

using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.

6.5 ft
6.5 startroot 2 endroot ft
13 ft
13 startroot 2 endroot ft

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

The graph shows the amount of total rainfall at each hour what was the total rainfall amount after three hours