Answer:

Step-by-step explanation:
We are given the following in the question:
The numbers of teams remaining in each round follows a geometric sequence.
Let a be the first the of the geometric sequence and r be the common ration.
The
term of geometric sequence is given by:


Dividing the two equations, we get,

the first term can be calculated as:

Thus, the required geometric sequence is

Answer:
3.104 (option c)
Step-by-step explanation:
3 + 0.1 + 0.004 = 3.104
(2,4) is the only possible answer because it is the only one in the shaded area
Answer:
A = 157 in^2
Step-by-step explanation:
First, we need to get the radius, we can do this by dividing our given diameter by 2.
20/2 = 10
Now, we have our radius of 10 inches.
Formula for Area of a Semi Circle: (1/2)(pi(r^2)
Input values.
(1/2)(3.14(10^2)
Solve.
(1/2)(3.14(100)
(1/2)(314)
1/2(314) = 157
Finally, we have our result which is 157 inches^2.
ABC=DBC
(This will probably be a way more complex explanation than you need but it’s what I did.)
Okay so you know B=B because they’re both right angles. You know A=D because of the isosceles triangle theorem- if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That leaves C=C. If B=B and A=D and all triangles add up to 180 degrees, C and C need to be the same.