How do I find the area of the circular racetrack?
1 answer:
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Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,
The value of x is 3, so the length of side RV is,
In triangle TRS and angle VRS,
TR=VR
RS=RS (common side)
By SAS rule of congruence triangle,
Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.
Hence, the length of side VS is 15 units and option D is correct.
Answer:
The lesser number of workbooks are 1,000
Step-by-step explanation:
The correct question is
The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?
we have
For
substitute in the equation and solve for b
Remember that the profit and the number of workbooks is in thousands
so
P=5
Using a graphing tool
Solve the cubic function
The solutions are
x=-1
x=1
x=5
therefore
The lesser number of workbooks are 1,000
<u><em>Verify</em></u>
For b=1
-----> is in thousands
so
----> is ok
