To find the magnitude of a vector, take the components, square them, then add them, then take the square root. This is very similar to the Pythagorean Theorem.
For your particular problem, I’ve included a picture showing how that specific calculation is done. :)
Distance between the two cities:
453 - 333 = 120 miles.
Rest area is 2/3 of the way:
120 x 2/3 = 240/3 = 80 miles.
Divide the miles to the rest stop by his speed:
80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.
( 1 hour and 20 minutes)
The first answer is 5,but i don't know about the second one. (sorry)
Let's solve your equation step-by-step.
(−
5
/8
)(x)=−160
Step 1: Simplify both sides of the equation.
−5
/8
x=−160
Step 2: Multiply both sides by 8/(-5).
(
8
/−5
)x(
−5
/8
x)=(
8/
−5
)*(−160)
x=256
Answer:
x=256