Answer:
n=22 or 252=11(22)+10
Step-by-step explanation: 252=11n+10. Start by attempting to isolate the varyable by subracting 10 from both sides--> 242=11n, divide by 11--> 22=n
PROOF 252=11*22+10=242+10=252
Answer:
Perimeter of rectangle = 2L + 2W
2L + 2 * 36 = 148
2L = 148 - 72
2L = 76
L = 38 inches
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:
Only b is correctly simplified.
Step-by-step explanation:
Answer: Angle N
Explanation:
For triangle ABC, we refer to the middle angle, Angle B.
For triangle MNP, we refer to its middle angle, Angle N.
Good luck!