Answer:
The radius of circle B is 6 times greater than the radius of circle A
The area of circle B is 36 times greater than the area of circle A
Step-by-step explanation:
we have
<em>Circle A</em>

The radius of circle A is
-----> the radius is half the diameter
<em>Circle B</em>

Compare the radius of both circles


The radius of circle B is six times greater than the radius of circle A
Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared
All circles are similar
In this problem the scale factor is 6
so

therefore
The area of circle B is 36 times greater than the area of circle A
Answer:
angle 2 = 120 degrees
angle 3 = 30 degrees
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer: Ix - 5I ≥ 5.
Step-by-step explanation:
We want the set:
[0, 10]
to be the solution of:
Ix - bI ≤ c
So we need to find the values of c and b.
The first step is to find the middle point in our segment.
We can do that by adding the extremes and dividing it by 2.
M = (10 + 0)/2 = 5
And we also want to find half of the difference between the extremes, this is:
D = (10 - 0)/2 = 5.
Now, this set will be the set of solutions of:
Ix - MI ≥ D
Then in our case, we have:
Ix - 5I ≥ 5.
so we have that b = 5, and c = 5.
Answer:
The length of other base is <u>30 in</u>.
Step-by-step explanation:
Given:
A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in.
Now, to get the length of other base.
Let the length of other base be 
Area of trapezoid
= 184 in².
Height of trapezoid (
) = 8 in.
Length of one base (a) = 16 in.
Now, to get the length of other base of trapezoid we solve an equation:



<em />
<em />
<em>Subtracting both sides by 64 we get:</em>
<em />
<em />
<em>Dividing both sides by 4 we get:</em>

Therefore, the length of other base is 30 in.