A scale factor of 4. This is a simple dilation problem.
Given is,
the total edges= 180 ft
width= 40 ft
so, 40 ft minus from 180 fts
total edge-width= length
180ft -40 ft= length
140ft = length
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
= 2πrh
If multiply both dimensions <u>by a factor of 2</u>:
= 2.π.2r.2h
= 8πrh
Comparing
to
:
=
= 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
<u>By factor 3:</u>


Comparing areas:
=
= 9
Multiplying by 3, gives an area 9 times bigger.
<u>By factor 5</u>:


Comparing:
=
= 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.
For (-1,2) you go to the left one and up two.
For (-3,6) left three up six
For (4,8) right four and up eight
First set up the equation (sum of the angles is 180)
2x + 2(x-1) + (5x +2) = 180
distribute:
2x + 2x -2 + 5x +2 = 180
combine like terms:
9x = 180
solve for x:
x = 20
SO:
2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees
check: 40 + 38 + 102 = 180