You need the Law of Cosines here. Let's call our given angle A, so the side across from it, the one we are looking to solve for, would be a. The Law is as follows then:
![a^2=27^2+31^2-[2(27)(31)cos(75)]](https://tex.z-dn.net/?f=a%5E2%3D27%5E2%2B31%5E2-%5B2%2827%29%2831%29cos%2875%29%5D)
. We will simplify everything here at once to get

.

so a = 35.5
2x+57+61=180
2x+118=180
2x=62
X=31
Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
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Answer:
what
Step-by-step explanation:
is the questionn
We are given
Jim's backyard:
Length is

width is

Since, this is rectangle
so, we can find area of rectangle



Area of one sod:
length is

width is

Since, it is rectangle in shape
so,



Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

now, we can simplify it
pieces need ..............Answer