Question

for a vector v, vx = v cos 0 vy = v sin 0 vx² + vy² = v² tan 0 = vy/vx
question 2 (2 points)
report the result of the following arithmetic with the correct number of significant figures: 5.43*0.270 + 1.4046

Explanation:

Step1: Calculate the product

First, calculate $5.43\times0.270$.
$5.43\times0.270 = 1.4661$

Step2: Perform addition

Then, add $1.4661$ and $1.4046$.
$1.4661+1.4046=2.8707$

Step3: Determine significant - figures

The number $5.43$ has 3 significant figures, and $0.270$ has 3 significant figures. In multiplication and division, the result should have the same number of significant figures as the number with the fewest significant figures among the values being multiplied or divided. In addition and subtraction, the result should be rounded to the same number of decimal places as the number with the fewest decimal places among the values being added or subtracted. Here, we consider significant - figures rules for the overall calculation. Rounding $2.8707$ to 3 significant figures gives $2.87$.

Answer:

$2.87$