Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
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The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
Answer:
B. 64.9
Step-by-step explanation:
A graphing calculator or spreadsheet can fit these points with an exponential curve. An appropriate answer for x=14 is about 73.3.
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<em>Comment on the answer choices</em>
The closest answer that makes any sense is 64.9. Often these problems are worked by someone who uses inappropriate rounding of intermediate results. I haven't found the magic set of numbers to get 64.9. About the lowest I can get is 66.7, using 0.0037·e^(0.7x).
Answer:
B, $35.20
Step-by-step explanation:
32 increase 10% =
32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2
Only one triangle is able to be drawn with those measurements and angle