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algol [13]
3 years ago
15

Help me with #2 and #3 please

Mathematics
1 answer:
timurjin [86]3 years ago
7 0
2 An angle in a regualr quadrilateral = 90 degrees

3. if  exterior angle = 40 degrees then the number of sides in the plygon

= 360/40  = 9 sides 

So its a  nonagon.
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Hey, I don't understand this question can someone help me.<br><br> y=0.8x-11 y=0.2x+19
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7 0
3 years ago
Which geometric series converges?
kvv77 [185]

Answer:

Option (1)

Step-by-step explanation:

In a geometric series,

\sum_{n=0}^{\infty}ar^n=a+ar^1+ar^2+....

Here r = \frac{a_n}{a_{n-1}}

For |r| < 1, series will converge.

For |r| > 1, series will diverge.

Option (1)

Given geometric series is,

\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......

Common ratio = \frac{\frac{1}{4}}{\frac{1}{2} }

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Since, \frac{1}{2}

Series will converge.

Option (2)

\frac{1}{2}+1+2+4+......

r = \frac{1}{\frac{1}{2}}=2

Since, 2 > 1,

Series will diverge.

Option (3)

\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......

Common ratio 'r' = \frac{\frac{3}{2} }{\frac{1}{2} }=3

Since, 3 > 1,

Series will diverge.

Option (4)

\frac{1}{2}+3+18+108+.....

Common ratio 'r' = \frac{3}{\frac{1}{2}}=6

Since, 6 > 1

Series will diverge.

Therefore, Option (1) will be the correct option.

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5. Ms. Johnson has 50 students in Period 5. In
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60% of the students are boys

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