The single dilation of the shape is a dilation by a scale factor of 1.5 with center R
<h3>How to determine the dilation rule?</h3>
From the graph, we have the center of dilation to be point R.
This is so because R = R'
Also, we have:
R = (-1, -4)
S = (2, 0)
S' = (3.5, 2)
Calculate the distance RS and RS' using
This gives
Divide RS' by RS to determine the scale factor (k)
k = 7.5/5
k = 1.5
Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R
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The bio students can be arranged in (5 · 4 · 3 · 2 · 1) = 120 different ways.
For each of those . . .
The chem students can be arranged in (5 · 4 · 3 · 2 · 1) = 120 different ways.
For each of those . . .
The physics students can be arranged in (2 · 1) different ways.
For each of those . . .
The subjects can be arranged in (3 · 2 · 1) = 6 different ways.
The whole incredibly boring line-up of presentations
can be arranged in
(120 · 120 · 2 · 6) = 172,800 different ways .
Your answer will be 3rd one
-149 would be your answer
Answer:
Step-by-step explanation:
d=80 ft
r=80/2=40 ft
volume of cylinder=π r²h,where h is height or depth of cylinder.
π×40²×h=825,000
πh=825,000/40²=4125/8
h=4125/(8π)≈164.1285≈164.13 ft