Return to the original problem. PEMDAS says to multiply before adding. But could you have performed a different operation and st
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Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1
<h3>How to reflect the polygon?</h3>The coordinates are given as:
F(2, – 1), G(5,2), H(8, 3), and I(6, 0)
The line of reflection is given as:
y = -1
To reflect the line, we apply the following rule of reflection
(x,y) (x,-y-2)
So, we have the following coordinates of the image
F' = (2, – 1)
G' = (5,-4)
H' = (8, -5)
I' = (6, -2)
See attachment for the image of the reflected polygon
Read more about reflection at:
