Answer:
Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.
Now we have 3/6+1/6, which is 4/6 (add the numerator).
4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.
So, therefore, the answer is 2/3.
<u>Given</u>:
Given that ABC is a right triangle.
The length of AB is 7 units.
The measure of ∠A is 65°
We need to determine the length of AC
<u>Length of AC:</u>
The length of AC can be determined using the trigonometric ratio.
Thus, we have;

Where the value of
is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.
Substituting the values, we have;

Substituting AB = 7, we have;

Multiplying both sides by 7, we get;



Rounding off to the nearest hundredth, we get;

Thus, the length of AC is 2.96 units.
Answer:
3
Step-by-step explanation:
Lannister checks out 6 sets of book
Each set had the same number of books
She reads 7 books and has 11 more to go
Therefore the number of books in each set can be calculated as follows
= 11+7
= 18
18/6
= 3
Hence there are 3 books in each set