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.
Answer:
let's use Pythagoras theorem,
h²=b²+l²
so,
ad²=ac²+dc²
6²=ac²+3²
36-9=ac²=27
√27 can be written as 3√3,
hence ac= 3√3
Hey there! I'm happy to help!
The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.
5²+12²=c²
25+144=c²
c²=169
We square root both sides
c=13
Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.
Therefore, the secant is B) 13/5.
I hope that this helps! Have a wonderful day!
The overall width of the path and garden is 12 feet.
The area of the entire garden and path is 12 x 12 = 144 square feet.
The path is 1 foot wide, so the garden would be 12 - 2 = 20 feet wide.
The area of the garden only would be 10 x 10 = 100 square feet.
The area of the path only = 144 - 100 = 44 square feet.
1 bag covers 9 square feet:
44 / 9 = 4.88
You would need 5 bags.
