2.0² * π = 12.56637...
12.56637... * 9.6 = 120.6371579...
120.6371579.. / π = 38.4
√38.4 = 6.196773354... --> the radius of circle A dialated by 9.6 = 6.2 cm
Answer:
Line s and Line t are parallel.
Step-by-step explanation:
Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.
By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:

To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute
and
into the equation above:
Since
= -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :

Answer:
Step-by-step explanation:
√13.7/(3.05^2+2.6)
Answer:
V(hemisphere) = 1072.3in^3
Step-by-step explanation:
To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.
The volume of a sphere is:
Let's plug in the radium of 8 into the equation and solve:
Now, divide it by 2
V(sphere) = (2144.660585)/2
V(hemisphere) = 1072.3in^3
I hope this helps!!