A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inch
2 answers:
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The marked angle can be named in two different ways as: ∠HFG and ∠GFH.
<h3>How to Name an Angle?</h3>To name an angle, the letter representing the vertex would always be at the middle.
Given the angle marked in the image below, where F is the vertex, we can name the marked angle in two different ways with F at the center as:
∠HFG and ∠GFH
Thus, the two different ways to name the marked angle are:
∠HFG and ∠GFH.
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Answer:
15 trees should be added to the existing orchard in order to maximize the total output of trees.
Step-by-step explanation:
Number of trees = 50
Number of apples each tree gives = 800
For each additional tree planted in the orchard, the output per tree drops by 10 apples. Let x be the number of trees added, then,
Number of apple is given by:
First, we differentiate V(x) with respect to x, to get,
Equating the first derivative to zero, we get,
Solving, we get,
Again differentiation V(x), with respect to x, we get,
At x = 15
Thus, by double derivative test, the maxima occurs at x = 15 for V(x).
Thus, 15 trees should be added to the existing orchard in order to maximize the total output of trees.
Maximum output of apples =