Answer:
8
Step-by-step explanation:
Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as
1070=180(n-2) where n is the number of sides required here.
Making n the subject of the formula then following step by step


Therefore, the shape is octagon and it has 8 sides.
Answer:

Step-by-step explanation:

Sinse you want the POSITIVE solution, your answer is 5.
I am joyous to assist you at any time.
To start to figure this problem out, we can first figure out how many more pages you read in an hour compared to your sister.
50 - 40 = 10, so you read 10 more pages in 1 hour.
Now we have to figure out how much more you would read in 1/2 an hour. Since 1/2 an hour is 1/2 of an hour, we can divide 10 by 2 to figure out how many more pages you read in an hour compared to your sister. 10 divided by 2 is 5, so you read 5 more pages every half hour.
Answer:

Step-by-step explanation:
Given:
To find:
- Summation notation of the given series
Summation Notation:

Where n is the number of terms and
is general term.
First, determine what kind of series it is, there are two main series that everyone should know:
A series that has common difference.
A series that has common ratio.
If you notice and keep subtracting the next term with previous term:
Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.
Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:
<u>Arithmetic Sequence</u>

Where
is the nth term,
is the first term and
is the common difference:
So for our general term:

And for number of terms, substitute
= 251 and solve for n:

Now we can convert the series to summation notation as given the formula above, substitute as we get:

V = πr ^2 h
V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
141.3 divided by 8 = 17.7