The top and bottom length are 9 and 9 right? so multiply 9x2 which is 18cm. then to find the missing length, you already know that the length to your right is 6cm. and so will the one on your left will be 6cm, so multiply 6x2 and you get 12cm. add 18cm and 12cm and you get the answer 30cm. perimeter=30cm.
Answer:
Step-by-step explanation:
4x-40=7(-2x+2) multiply inside the parenthesis with 7
4x - 40 = -14x + 14 export like terms to the same side of equation
4x + 14x = 14 + 40 add like terms
18x = 54 divide both side by 18
x = 3
? = 4/3 π(1 1/4)
<span>Answer: 8</span>
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:
