Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How
1 answer:
Answer:
The waste Suzanne is going to have is around 7.726.
8 if looking for nearest square foot.
Step-by-step explanation:
Area for a square - x*x (length times length)
Area for a circle - r^2*pi
Find the area of the circle first, which plug in r as 3.
3^2*pi
9pi
≈28.27433
Notice for a circle inside a square, the length of the square is the diameter of the circle.
By knowing 2r=diameter, we know the length of the square is 6
substitute x as 6.
6*6=36
Find the waste= Area of square - Area of circle
36-28.27433
≈7.726
The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.
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The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.