The area of the top surface of this wedge is 14.14 inches².
<h3>What is the area of a sector?</h3>
The shape of the top surface of the wedge assumes the shape of a sector. So, to determine the area of the top surface of this wedge, we need to find the area of the sector.
Area of a sector = 
where;
- Central angle θ = π/2
- radius = 3 inches
Area of a sector = 
Area of a sector = 
Area of a sector = 14.14 inches²
Learn more about the area of a sector here:
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<h2>
Question 1</h2>
Answer:
The graph is showing the story.
Step-by-step explanation:
Victoria is on the 13th page of the book, she reads 3 pages after every next hour.
After 1st hour she has read = 13 + 3 = 16
As she reads 3 pages after every next hour.
so
After 2nd hour she has read = 16 + 3 = 19
After 3rd hour she has read = 19 + 3 = 22
After 4th hour she has read = 22 + 3 = 25
After 5th hour she has read = 25 + 3 = 28
So the graph is showing this phenomena.
<h2>
Question 2</h2>
Answer:
The equation that would generate this graph and table would be:
Step-by-step explanation:
Given the slope-intercept form of the equation of the line

Taking any two points
(1, 16)
(2, 19)




Plugging any point, let say (1, 16), and m = 3 in the slope-intercept form to find the value of b (y-intercept).











Thus the equation that would generate this graph and table is:


Therefore, the equation that would generate this graph and table would be:
The first one : y = ( x-3/2 ) ^2 + 31/4
second one : y = (x+6)^2-25
vertex ; (-6,-25)
Answer:
See below
Step-by-step explanation:
Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered. The attached image demonstrates an approach that simplifies the graph.
Enter the three equations and three inequalities separately into six DESMOS input boxes. Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time. Each pair represents one line of the function and limit for that function. Then find the intersection point for the values indicated in the second half of the equation.
One can also calculate the answers:
a) (-21,442)
b) (-4,-1)
c) (18,15.5)
d) (20,17)