Here are two similar pentagons which make up a badge.

4x cm

Work out the width of the badge.

|(x+2)cm 48 cm

40cm

Step-by-step explanation:

Since the pentagons are similar, the corresponding sides are in the same ratio.

The width of the badge = 4x

=4 X 10

=40cm

The width of the badge is 40cm.

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.