Centralangle/360 times area of circle=sector area
120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
.53= 53/100
53/100 cannot be simplified so the answer is 53/100
Hello there!
In order to graph the solution, we need to solve it first.
So let's start....
3/7(35x - 14) ≤ 21x/2 + 3
15x -6 ≤ 21x/2 + 3
15x - 21x/2 ≤ 3 + 6
9x/2 ≤ 9
x ≤ 9* 2/9
x ≤ 18/9
x ≤ 2
See the picture for the graph
Please let me know if you have questions about the answer.
Thanks!