In the gym, there is a scale that measures people's weight. The needle is 22 cm long, and it rotated 124° when Evelyn stepped on it. How far did the needle travel as is rotated?

47.6 cm

Step-by-step explanation:

We solve using Arc length

= θ/360 × 2 × π × r

r = radius = length of the needle = 22cm

θ = Angle of rotation = Central angle = 124°

Hence:

The distance the needle travels using Arc length formula =

124/360 × 2 × π × 22cm

= 47.612581994 cm

Approximately = 47.6 cm

Therefore, the distance the needle travel is 47.6 cm

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

is only a line? i think so