I'm bad at math. a plan for a baseball diamond is drawn in a coordinate plane. the baseball diamond is in a shape of a square. with vertices at approximately (0,64),(64,0),(0,—64), and (—64,0). one unit in the coordinate plane represents 1 ft. what is the approximate area of the baseball diamond? what is the area of the trapezoid shown?

Area = 8192

Step-by-step explanation:

Area of diamond=8192

Area of trapezoid =72 square unit

Step-by-step explanation:

Area of diamond:

find the distance between the points:

(0,64), (64,0), (0,-64),(-64,0)

d=√(x2-x1)²+(y2-y1)²

d=√64²+64²

d=64√2=90.51( rounded to the nearest hundredth)

since it is shape of square then all sides are equal

A=length*width

A=64√2*64√2

4- Area of trapezoid= ((base a +base b)/2) h

base a=3, base b=6 height=8 ( from graph count the tiles)

Area of trapezoid = ((3*6)/2 )* 8

Area=18/2*8

Area=9*8=72 square unit

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.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~