This question can easily be answered using a scientific calculator via complex mode using the form r∠α wherein r is the magnitude and α is the angle. So, incorporating vector addition through scientific calculator:
5∠53° + 8∠130 = 10.34∠101.9°
Therefore, the student's displacement is 10.34 m, 101.9°. In other words, the student is heading 78.1° (180 - 101.9 = 78.1) south of east.
Answer:
1020
.00
1040.4
0
1061,208
1082.43
Explanation:
In this exercise we must calculate interest and add it to capital
2% of 1000
first month
interest = 1000 2/100
odds1 = 1020
second month
capital 1020
interest = 1020 0.02 = 20.4
odds2 = 1040.4
third month
capital = 1040.4
interest = 1040.4 0.02 = 20.808
odds3 = 1061,208
fourth month
capital = 1061,208
interest = 1061.208 0.02 = 21.22
odds = 1082.43
The uncertainty in a measured value is the possible variation in a measured value arising due to inaccuracies in the instrument being used. In the case described, the beats are 127 per minute, and the uncertainty is +/-4 beats. This means that the beats may actually be between 123 and 131.
The fractional uncertainty is: 4/127 = 0.031
And the percentage uncertainty is: 4/127 * 100 = 3.1%