Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
1 answer:
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Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, and
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and
are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Answer:
The correct option is D.
Step-by-step explanation:
Let <em>x</em> denote the years.
The information provided is:
- The population of Metro City is 7420.
- The population is decreasing by 152 people per year.
- The population of Smallville is consistently 1200 less than half of Metro City.
From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:
The population of Smallville is 2282 after <em>x</em> years.
Compute the value of <em>x</em> as follows:
Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.