The measurements of the base and altitude of a triangle are found to be 46 and 34 centimeters. The possible error in each measurement is 0.1 centimeter. Use differentials to estimate the propagated error in computing the area of the triangle. Round your answer to four decimal places, if necessary.
?
A. square centimeters
B. square centimeters
C. square centimeters
D. square centimeters
E. square centimeters
Answer: C
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D.
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A.
B.
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D.
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A.
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Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = minutes =
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's
figures.
What will be an ideal response?