Is will be 300 rounded to the nearest 100 :)
Answer:
You would solve this as if the inequality sign was an equal sign.
Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:
5 + 5(x +4) < 20
Distribute the 5 and simplify
5 + 5x + 20 < 20
25 + 5x < 20
Isolate x (subtract 25 from both sides)
5x < -5
Divide by 5
x < -1
We can use law of cosines to find the length of the third side.
Law of cosines is:
c^2 = a^2 + b^2 - 2ab*cos(C), where angle C is opposite of side c.
Plug in what we know.
c^2 = 3^2 + 4^2 - 2(3)(4)cos(60)
Simplify:
c^2 = 9 + 16 - 24cos(60)
c^2 = 25 - 24cos(60)
Solve for c by taking the square root of both sides:
c = sqrt(25 - 24cos(60))
c = sqrt(25 - 24(0.5))
c = sqrt(13)
c = 3.606
The answer of the question is
53 ft
Area of the small box is 9
Area of the big box is 44
Add them to get 53 ft in total
