3*boys=2*18
3*boys=36
boys=12
12+18=30
total number of students: 30
The lease common denominator using prime factorization would be 2. 2 is the number they can both be divided by and is also a prime number
Given:
To find:
The exact value of cos(u-v) if both angles are in quadrant 3.
Solution:
In 3rd quadrant, cos and sin both trigonometric ratios are negative.
We have,
Now,
On further simplification, we get
Similarly,
Now,
Therefore, the value of cos (u-v) is 0.1872.
Answer:
The first table represents a function.
Step-by-step explanation:
For it to be a function, there needs to be 1 unique y value of 1 unique x value.
- Looking at 2nd table, we see x value of -5 is mapped to 2 different y values of -5 and 5. So this is not a function.
- Looking at 3rd table, we see x value of -2 is mapped to 2 different y values of 2 and 4. So this is not a function.
- Looking at 4th table, we see x value of -4 is mapped to 2 different y values of 2 and 0. So this is not a function as well.
Looking at table 1, there are no duplicate x values and each of the 4 x values map to different values. So the first table represents a function.
