Photograph: height 3inPainting: height 24in
2 answers:
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Answer:
The coordinates of C is (-8,1)
Step-by-step explanation:
Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.
Now let's assume the coordinates of C is .
To get it's coordinates, we use the section formula:
Where (m,n) is the (AB, BC)
Therefore we have
This gives:
and
From there x = -8 and y = 1
Therefore the coordinates of C is (-8, 1).
The closest to the maximum number of cups the punch bowl can hold is 30
<h3>How to determine the number of cups?</h3>The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:
This gives
Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
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