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leva [86]
3 years ago
15

Can someone please explain how I find this answer so I can do it on my own??

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer: That seems right. Maybe you didn't simplify. Then, it would be 8/11.

Step-by-step explanation:

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
The measure of the vertex angle of an isosceles triangle is 92. Find the measure of a base angle
Andrej [43]

Answer:

44°

Step-by-step explanation:

The sum of the angles in a triangle = 180°

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6 0
3 years ago
What is the sum of the interior angles of the polygon shown below
DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with  n  sides is

180(n - 2)  degrees.

In this case,  n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides.  Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0
2 years ago
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masya89 [10]

Answer:

a. 6

b. 9

c. 4

Step-by-step explanation:

a.

Range = greatest - smallest

Range = 85 - 79

Range = 6

b.

b > 81

82, 83, 84...

3 82s

4 83s

2 85s

3 + 4 + 2 = 9

c.

b = 83

4 83s

4

6 0
3 years ago
Hi! Can you help me? Don’t forget about the work. Thank you so much.
Elan Coil [88]
See  the attached picture:

8 0
3 years ago
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