Answer:
Area = 342
, Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length =
(4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) =
(4 is the arm length) = 320 
Square area = side * side = 4 * 4 = 16 
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6
So total area is 320 + 16 + 6 = 342
Answer: x=20
Step-by-step explanation:
The entire thing is equal to 180 degrees. so, 100+3x+x=180, which can be simplified to 100+4x=180. If we subtract 100 from both sides, we get 4x=80, 80 divided by 4 is 20, so x=20
The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)