Nate is making a picture frame by cutting a small rectangular prism out of a larger rectangular prism. When the project is compl
ete, Nate wants to paint all the surfaces except for the back of the frame.
How much surface area will Nate need to paint?
A. 386
B. 482
C. 514
D. 678
How much surface area will Nate need to paint?
A. 386
B. 482
C. 514
D. 678
1 answer:
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Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .
(this is )
Then the function is:
Answer:
The answer is B ⇒
Step-by-step explanation:
∵ v = π r² h
∴ r² =
∴ r =
∵ r = 10 ft and h = 15 ft
∴