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omeli [17]
3 years ago
10

Question in picture please use the picture and write it down

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

Radius is 2.

2πr= 4π

r=4π/2π

r=2

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Find the 10th partial sum of the arithmetic sequence defined by
Evgesh-ka [11]

Answer:

22.5


Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
  • Putting 2 in n, \frac{1}{2}(2)-\frac{1}{2}=0.5
  • Putting 3 in n, \frac{1}{2}(3)-\frac{1}{2}=1
  • Putting 4 in n, \frac{1}{2}(4)-\frac{1}{2}=1.5

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

  • S_{n} denotes the nth partial sum
  • a is the first term (in our case it is 0)
  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


8 0
3 years ago
Read 2 more answers
Help pls (I need to make it 20 things so Im typing this)
Brrunno [24]

Answer:

8

Step-by-step explanation:

this 3 qub root of 512 is 8

6 0
2 years ago
25 points!! Which table shows 4 points on the line that passes through the point (–1,5) and has the same slope as the line 2x+3y
mylen [45]
It is the third one hope this helped
5 0
3 years ago
Write an expression that represents the area of a triangle with base 2x^2 and height 3xy (For any triangle with base b and heigh
hoa [83]
The answer should be D. 6x^3y 
8 0
3 years ago
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Pizza planet is running a sell 3 pizzas for $16.50. What is the unit rate for one pizza?
8090 [49]

Answer:

$5.30

Step-by-step explanation:

$16.50 = (3)p

[p = pizza]

To solve you have to separate the p by removing the (x3)

1) Divide both sides of the equation by 3

[ 16.50 / 3 = p}

2) Divide 16.50 by 3

[5.30]

3) 5.30 = p


3 0
3 years ago
Read 2 more answers
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