Answer:
L = 4.103
Step-by-step explanation:
we have length of curve

where 
substituting for f(x), we have 
(since the limit is 2≤ x ≤5)
solving, 
Simplifying this integral, we have
L = 4.10321
Answer:
The required formula is:
Step-by-step explanation:
The total number of squares of the the first term = 4
The total number of squares of the the second term = 7
The total number of squares of the the third term = 10
so,



Finding the common difference d


As the common difference 'd' is same, it means the sequence is in arithmetic.
So
If the initial term of an arithmetic progression is
and the common difference of successive members is d, then the nth term of the sequence
is given by:

Therefore, the required formula is:
Answer:
Step-by-step explanation:
Step-by-step explanation:
It varies depending on the structure of the figure your taling about. If it is a bunch of squares or rectangles, you get the perimeter of all sides and then you try to make the figure into smaller squares or rectangles. After that now find the perimeter of the new side (opposit side should tell you) and then find the area for all the rectangles and squares. After that step, you add all the areas together and...viola!!!! You get the area of the complex figure. If it is not a rectangle please comment with the object and I could help you.
For the first question, the chance of rolling a six is a 1/6 chance because there is one six and six different sides that could be rolled. As a percent, it would be 16.6 %. The probability of rolling an odd number on the second roll would be a 3/6 chance, which as a percent is 50 %. For the second question, both probabilities are 33 % because in both instances you are drawing three cards from nine total, so it would be 3/9. For the third question, the probability of drawing a blue marble is 3/5, because there are three blue marbles and five total marbles. As a percent, this is 60 %. Following this up with a green marble would be 2/4, because there are now 2 green marbles and four total marbles. One of the marbles was not replaced, so we have one less marble. 2/4 as a percent is 50%.