Alex lady sketch for a homemade soccer goal he plans to build . do you go will be in the shape of a triangular prism . the legs of the right triangles at the side of his gold measures 4 ft and 8 ft , and opening along the front is 24 feet . how much space is contained within goal

The triangular prism has a volume of
.. V = Bh = (1/2)*(4ft *8 ft)*(24 ft) = 384 ft^3

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.