The net of a triangular prism is shown in the coordinate plane. What is the surface area of the prism?

4 in²

Step-by-step explanation:

A triangular prism is a polyhedron made of a triangular base, a copy of the base at the top, and 3 rectangular/square faces joining corresponding sides.

The area of each of the triangle = (1/2) * base * height = (1/2) * 1 in * 1 in = 1/2 in²

Area of each of the square faces = length * breadth = 1 in * 1 in = 1 in²

The surface area of the prism = (2 * area of each triangle) + (3 area of each square face)

The surface area of the prism = (2 * 1/2 in²) + (3 * 1 in²) = 1 in² + 3 in² = 4 in²

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).