<u>Given</u>:
Given that the sides of the shape.
The given shape consists of 8 sides.
We need to determine the perimeter of the given shape.
<u>Perimeter</u>:
The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.
Thus, we have;

Adding the values, we get;

Thus, the perimeter of the given shape is 36 feet.
Answer:
2,800
Step-by-step explanation:
Answer:
Rate of change for the linear relationship modeled is 
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

Putting the points as (-1, 10) and (1, 9), we get



Rate of change is the slope of the line joining all these points.
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
44.2545
Step-by-step explanation:
you can find the third angle by taking 180-(90+55)=a
a=35
use law of sines
Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)
so, sin(a)/A=sin(b)/B
sin(35)/33=sin(55)/x
x=sin(55)/(sin(35)/33)
x=44.2545
Hope this helps :)