Answer:
Answer: 84 meters squared. (i.e. 84m^2).
Step-by-step explanation:
Area of the path = total area of path and plot - plot area only
First, let’s find the area of the plot:
20m x 20m = 400m^2
The path is 1m wide and runs all the way around, so, it describes an ‘outer square’ of 22m x 22m (2 x 1m larger because there are 1m of the path on each side).
The area of this ‘outer square’ is equivalent to the ‘total area of path and plot’
22m x 22m = 484m^2
So:
Area of the path = total area of path and plot - plot area only
= 484 - 400 = 84m^2
Answer:
The shrinkage as a percentage of sales is 1.6%.
Step-by-step explanation:
In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435). The difference between these two values is $31,905. With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345. This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.

We can rearrange to find our length b:

Substituting numbers in:

b=366 feet.
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612
Food $238
Transportation $370
What is the problem with this budget?
The answer is => She has allotted more than 36% of her income for housing