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.
Formula for the area of a triangle:
( Base X Height ) Divided by 2 or (B×H) ÷ 2
Formula for the area of a circle:
PI times the radius squared or PI × r^2
Area of the triangule part of this figure:
Base: 8ft. Height: 6ft
(8ft × 6ft) ÷ 2
48ft^2 ÷ 2
24ft^2
Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle
Area of the semicricle:
Diameter: 10ft,
Therefore the radius is 5ft
(PI x 5ft^2) ÷ 2
39.2699081699 ft^2
39.27 ft^2
Now add these two areas together:
24ft^2 + 38.27ft^2 = 62.27ft^2
Hope it helps
Answer: x=11.9
Step-by-step explanation:
Equation: x=34.6-22.7
Answer : 15
to find the scale you divide. 45/3 = 15.
this gives you the scale 15
i don’t know how else to explain it but i hope this helps