Answer:
Base = 8
Step-by-step explanation:
Area of a triangle can be calculated as:
Area = 0.5 x Base x Height
The values of the area and the height are given in order to find the length.
A= 52 in^2
Height= 13
First we have to find the base or the length. Using the values above we can set up the equation as:
1. 52= (0.5)(13)(b)
2. 52/0.5(13)
3. b=8
Answer: The length of the guitar or the base would be 8 inches.
I hope this helps and for future problems regarding this topic use the formula above!!
Formula: 0.5 x Base x Height
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:
vertical asymptote X=-1
horizontal asymptote Y=2
Step-by-step explanation:
Hopes this helps if right please mark as brainlist:
Answer: -12x^2 + 15x