Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. the measurments are 0.8,1,0.4 What is the total amount of screen that Alice will need for her habitat?

The total amount of screen needed is 22 ft^2

Step-by-step explanation:

We know that

The surface of a rectangular prism is

SA = 2B + Ph

where

B is the area of the base

P is the perimeter of the base

H is the height of the rectangular prism

Find the area of the base B

B = (3) (1) = 3 ft²

Find the perimeter of the base P

P = 2(3 + 1) = 8 ft

The height of the prism h is

h = 2 ft

substitute the values

SA = 2(3) + (8) (2)

SA = 22 ft²

So , the total amount of screen needed is 22ft^2

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST :)

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

simplified/solved

anwser:

-80x^2+158x+158