Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in


To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have

<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,

So,

Cancelling BD and 2 on both sides we get,


Therefore,

Substituting the value of b,

=78.42
So the area of the parallelogram is
To be a function each x-value (input) should have only one y-value (output). Here you can see when x=2 it has an output of either 5 or 1. Therefore, the relation is NOT a function.
Answer:

Step-by-step explanation:
The equation that will model this situation will be of the form
where
is the time in hours john has traveled since the gas station, and
is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at
,
; or


Thus we have
.
Now we need to figure out 
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have


Now we have the full equation:
