Answer:

Step-by-step explanation:
The sum of an infinite geometric series is expressed according to the formula;
where;
a is the first term of the series
r is the common ratio
If the sum of an infinite geometric series is three times the first term, this is expressed as 
Substitute
into the formula above to get the common ratio r;


open the parenthesis

subtract 3 from both sides

<em>Hence the common ratio of this series is </em>
<em></em>
2. 6m
3. No, she has 2.8ft of fabric. She is 2.2 yards short... :)
I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.
PROPORTIONS:
Draw it out.
5/7 = either c/6, or b/5.
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!
Answer:
<u><em>The length of AD is 32 feet</em></u>
Step-by-step explanation:
<u>Proportional distances
</u>
When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length
Let's call x the length of AD. Given C is the midpoint of AD, then

Given B is the midpoint of AC, then

If we know BC=8 feet


The length of AD is 32 feet
The answer is y=4/3. Hope this helps.