Step-by-step explanation:
<u>Use the Distributive Property:</u>
<u>Subtract 6m from both sides:</u>
<u>Add 20 to both sides:</u>
<u>Divide each side by 2:</u>
A 9 foot flagpole cast a shadow 6 feet long, and at the same time a nearby tree cast a shadow 14 feet long. What is x the hight
of the tree.
2 answers:
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For this case we must indicate the cosine of A, of the figure shown. By definition:
Substituting the values we have:
So, we have to:
Answer:
Option D
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
