Answer:
Length = 17 feet, Width = 5 feet
Step-by-step explanation:
Given:
The area of a rectangular wall of a barn is 85 square feet.
Its length is 12 feet longer than the width.
Question asked:
Find the length and width of the wall of the barn.
Solution:
Let width of a rectangular wall of a barn = 
<u>As length is 12 feet longer than the width.</u>
Length of a rectangular wall of a barn = 
As we know:
Subtracting both sides by 85
As width can never be in negative, hence width of a rectangular wall of a barn = = 5 feet
Length of a rectangular wall of a barn = 
Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.
Answer:
S = 8
Step-by-step explanation:
An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.
However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:
We can also write in summation notation rather S-term as:
Keep in mind that these only work for when |r| < 1 or else it will diverge.
Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.
Therefore, the sum will converge to 8.
Please let me know if you have any questions!
Answer:
B =116°
D = 116°
Step-by-step explanation:
one set of opposite angles of a kite equal
