A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls? A) 32
B) 29
C) 16
D) 24
E) 28

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

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.