The magnitude of the resultant vector shown is _____.
1 answer:
Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
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The horizontal asymptote of the function is the minimum number of deer in the area.
- The equation of horizontal asymptote is:
- The horizontal asymptote means that, the number of deer will never be less than 40
The equation is given as:
Expand the numerator
Cancel out the common factor
Hence, the equation of horizontal asymptote is:
The horizontal asymptote means that, the number of deer will never be less than 40
Read more about horizontal asymptotes at:
Answer:
Jay's estimate is closer to the actual weight of the basketball
Step-by-step explanation:
The standard weight of an NBA basketball is 1.4 pounds.
Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below
Error = (Standard value - Estimated value)/ Standard Value ×100
Error in Jays answer = × 100 = 64.28 %
Error in Shawna's answer = × 100 = 96.42%
From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.