The hypotenuse would be 9 inches as 6 is equal to 2/3 of 9 :)
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer:
B and C
Step-by-step explanation:
4 yards and 2 feet is equal 14 feet since each yard is made up of 3 feet.
1 yard = 3 feet.
So if we take 14 feet and multiply that by 3 we get 42 feet.
42/3 is equal to about 14 yards in total
So the answer is 14 yards.
Answer:
B
Step-by-step explanation:
12.25 times 11 is 134.75
488 times 0.21 is 102.48
134.75 plus 102.48 equals 237.23
237.23 is closest to 232 which is B.
