You can print a copy of the graph, stick a pin in the origin, and rotate it 180° to see where the figure ends up. 
The origin is the midpoint between each vertex and its image.
Negate every coordinate value, for example, 
J(-5, -3) gets rotated to 
J'(5, 3).
 
        
        
        
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
 πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
 
        
             
        
        
        
After 6 years the investment is $5555.88
Step-by-step explanation:
A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?
The formula used to find future value is:

where A(t) = Accumulated amount
P = Principal Amount
r = annual rate
t= time
n=  compounding periods per year
We are given:
P = $3600
r = 7.5 %
t = 6 
n = 1
Putting values in formula:

So, After 6 years the investment is $5555.88
Keywords: Compound Interest formula
Learn more about Compound Interest formula at:
#learnwithBrainly
 
        
             
        
        
        
Formula for finding the area of a rectangle: length x width
Formula for finding the volume of a rectangular prism: V = lwh
        
             
        
        
        
Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval  . So, the domain is (-8,3].
. So, the domain is (-8,3].
The values of the function lie in the interval  . So, the range is (-8,4].
. So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].