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Salsk061 [2.6K]
3 years ago
12

Find the missing angle

Mathematics
2 answers:
Mrrafil [7]3 years ago
5 0

90 minus 63 equals 37

sveta [45]3 years ago
5 0

Answer:

27 degrees

Step-by-step explanation:

x together with 63deg form a right angle (90deg)

x + 63 = 90

x = 90 - 63

x = 27

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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
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Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

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\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

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4 years ago
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zavuch27 [327]
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