625/1296 simplified fraction
2 answers:
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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
Given:
The sequence is 25, 20, 15, 10, 5.
To find:
The ninth term of the given sequence.
Solution:
We have,
25, 20, 15, 10, 5
It is an AP because the difference between two consecutive terms are same.
Here,
First term (a) = 25
Common difference (d) = 20-25
= -5
The nth terms of an AP is
Where, a is the first term and d is the common difference.
Putting a=25, n=9 and d=-5 to get the 9th term.
Therefore, the ninth term of the given sequence is -15.