The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"
Take the square root of each part of the ratio of 1:16 and we get 1:4
So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.
Therefore, the circumference has been multiplied by 4
Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞ = ㏑(1 + x)| = ㏑
Sum of the series will give ㏑
Answer:
The height of the cone is
Step-by-step explanation:
we know that
The volume of the cone is equal to
where
B is the area of the circular base of the cone
h is the height of the cone
In this problem we have
<em>Find the area of the base B</em>
substitute the value of r
<em>Find the height of the cone</em>
assume
Answer:
Step-by-step explanation:
hypotenuse is double the shorter length.
hypotenuse=2×7=14 in