The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:





The area of the pentagon is then calculated using:

So, we have:

Simplify the expressions in both brackets


Remove absolute bracket


Hence, the area of the pentagon is 19 square units
Read more about areas at:
brainly.com/question/1423568
To solve this, we are going to use the surface are of a sphere formula:

where

is the surface area of the sphere

is the radius of the sphere
We know for our problem that

and

, so lets replace those vales in our formula:



Now, we just need to solve our equation for

:





or

Since the radius of a sphere cannot be a negative number,

.
We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>

is
13 in.
Answer:
5x-y-36=0
Step-by-step explanation:
y+4=5x-40
5x-y=36
1) C(2
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19

is a right triangle with base length 1 and height 8, so the area of

is

.
The average value of

over

is given by the ratio

The denominator is just the area of

, which we already know. The average value is then simplified to

In the

-plane, we can describe the region

as all points

that lie between the lines

and

(the lines which coincide with the triangle's base and hypotenuse, respectively), taking

. So, the integral is given by, and evaluates to,


