Four lines are drawn on a coordinate plane to form trapezoid WXYZ.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =
The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.
So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.
Rounding this off to the nearest hundredth, we get x = 8.80 m.