Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
Answer:
D. Protestant do not believe in the pope's authority.
Step-by-step explanation:
The most fundamental difference is that Protestants believe that everyone can directly communicate with God and the only authority is scripture, while Catholics believe that, in addition to everything else, there is also the authority of the church as a mediator between God and flock.
Answer:
the answer is b
Step-by-step explanation:
it would be a 1/10 cause i took the test and got it right