Please help The circumference of a plate is 10 centimeters. If the radius
of the plate is tripled, what will be the circumference of the
new plate?

The new circumference is 30 pi cm

Step-by-step explanation:

Here, we have that the initial circumference measures 10 pi cm

Mathematically, we have the circumference of a circle as;

C = 2 * pi * r

10 pi = 2 pi r

2r = 10

r = 10/2 = 5

Now, we want to triple the radius

the new radius becomes 5 * 3 = 15

The new circumference is thus;

C = 2 * pi * 15

C = 30 pi cm

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

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.