First we make the fractions homonym ( they must have the same denomitator)
0.6 = 6 / 10 7/9
6/10 = 6 * 9 / 10 * 9 = 54 / 90 7/9 = 7 * 10 / 9 * 10 = 70 / 90
The numbers which are between these numbers are ;
55 / 90 , 56 / 90 , 57 / 90 , 58 / 90 , 59 / 90, 60 / 90 , 61 / 90 , 62 / 90 , 63 / 90 , 64 / 90, 67 / 90 , 68 / 90 , 69 / 90
62 / 90 = 62 / 2 / 90 /2 = 31 / 45
So the right answer is B.
Hope that helps :)
1. Similar: all angles are equivalent.
2. Similar: 2 angles and 1 side are equivalent.
3. Not enough information.
4. Not enough information.
5. Not enough information.
6. False.
7. True.
8. True.
9. True.
10. False.
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

In which



So

0.006% probability that the final vote count is unanimous.
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = 
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,


Recursive formula of this sequence will be,
, 
Therefore, Option (B) will be the answer.
Answer is 54^2.
since there are triangles in this one, it is easier to do this. all you have to do is make boxes in and since there are angles, outside the lines. like this picture.
the orange is 1
red and dotted is 2
blue is 3
purple is 4(a regular box which should be easy to count.
all you have to do is add up all the boxes within the boundaries.
boundary 1: 12
boundary 2: 18
boundary 3: 6
boundary 4: 36
now when the boundary has a triangle in it (1, 2, & 3) divide the number you got in half or 2.
boundary 1: 6
boundary 2: 9
boundary 3: 3
the ractangle box doesn't not get divided.
boundary 1: 6
boundary 2: 9
boundary 3: 3
boundary 4: 36
add all the numbers you got now for each boundary and that would be your area squared.
6+9+3+36=54^2
so your final answer is 54^2.
i hope this helps you.