we are given
distance=6.7 furlongs
(a) In rods
we know that
![1 furlong=40.0001 rod](https://tex.z-dn.net/?f=1%20furlong%3D40.0001%20rod)
we can multiply both sides by 6.7
![6.7*1 furlong=6.7*40.0001 rod](https://tex.z-dn.net/?f=6.7%2A1%20furlong%3D6.7%2A40.0001%20rod)
..............Answer
(b) In chains
we know that
![1 furlong=10 chains](https://tex.z-dn.net/?f=1%20furlong%3D10%20chains)
we can multiply both sides by 6.7
![6.7*1 furlong=6.7*10 chains](https://tex.z-dn.net/?f=6.7%2A1%20furlong%3D6.7%2A10%20chains%20)
..............Answer
For this case we have the following expression:
(x + 7) / (x ^ 2 - x - 2) = A / (x - 2) + B / (x + 1)
Rewriting we have:
(x + 7) / ((x-2) (x + 1)) = A / (x - 2) + B / (x + 1)
We multiply the equality by (x-2) (x + 1):
x + 7 = A (x + 1) + B (x - 2)
Rewriting we have the following system of equations:
A + B = 1
A - 2B = 7
Solving the system we have:
A = 3
B = -2
Answer:
constants A and B are:
A = 3
B = -2
You could substract or divide It to get the sum.
Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:
E 1 inch
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:
6 x 1.25 = 7.5 inches
Then the height of the icing between the layers is of:
13.5 - 7.5 = 6 inches
Six layers, hence each icing is of:
6/6 = 1 inch
More can be learned about proportions at brainly.com/question/24372153