What is the lateral area of the cylinder?
2 answers:
Answer:
A. 622.04 ft²
Step-by-step explanation:
The lateral area of a cylinder is the area on the outside, meaning if you would cut open a cylinder longitudinally, and folded it open, the rectangle that remains is the lateral area of the cylinder.
The formula for the lateral area of a cylinder is:
Where 2πr represents one side of the rectangle, and h represents the other.
A ≈ 622.04 ft²
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The slope of a linear line (or a linear equation) can be found by simply taking 2 values for x and y and then using the slope formula which is or:
Example:
Let's say you're give this table:
x: 1, 2
y: 1, 2
Following the steps which I gave, you take 1 value for the y (preferably the larger one) which in this cause will be 2 and then another y from the table which would be 1
Do the same for x
Now plug the values taken in the slope formula and you get:
Therefore the slope is 1.
Answer:
is a factor of
Step-by-step explanation:
is a factor of
We will prove this with the help of principal of mathematical induction.
For n = 1, is a factor
, which is true.
Let the given statement be true for n = k that is is a factor of
.
Thus, can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1
Thus, is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.