Original position: P1=(0,0)
<span>You drive 30 miles due east in a half hour: x=+30 miles, t1=1/2 hour=0.5 hours
</span><span>Then, you turn left and drive 30 miles north in 1 hour: y=+30 miles, t2=1 hour
Rectangular coordinates of final position: P2=(x,y)→P2=(30,30)
Total time: t=t1+t2=0.5 hours+1 hour→t=1.5 hours
Average speed: S ave=d/t
Total distance: d=x+y=30 miles+30 miles→d=60 miles
S ave = 60 miles / (1.5 hours)
S ave = 40 miles/hour
Velocity is a vector, the magnitude of this vector is the magnitude of the vector of change of position dividing by the total time t
The vector of change of position: s=P1-P2=(30,30)-(0,0)=(30-0,30-0)→
s=(30,30)
Magnitude of vector s=sqrt[30^2+30^2]=sqrt[30^2*2]=sqrt[30^2]*sqrt(2)
Magnitude of vector s=30*sqrt(2) miles
Magnitude of velocity vector = Magnitud of vector s / t
Magnitude of velocity vector = [30*sqrt(2) miles] / (1.5 hours)
Magnitude of velocity vector = 20*sqrt(2) miles / hour
Magnitude of velocity vector=20*1.4142 miles / hour
Magnitude of velocity vector=28.284 miles/hour
Polar coordinates of your position=(r, theta)
r=Magnitude of vector s=30*sqrt(2) miles
theta=tan^(-1) (y/x) = tan^(-1) [(30 miles) / (30 miles)]
theta=tan^(-1) (1)→theta=45°=Pi/4 (Pi=3.1416)
Polar coordinates of your position: ( 30*sqrt(2) miles, 45°)
Polar coordinate of your position: ( 30*sqrt(2) miles, Pi/4 )
Answers:
Average speed: 40 miles / hour
Velocity: 20*sqrt(2) miles / hour = 28.284 miles / hour
Rectangular coordinates of your position = (30,30)
Polar coordinates of your position=(30*sqrt(2) miles,45°)
Polar coordinates of your position=(30*sqrt(2) miles,Pi/4)</span>
The cost for 6 tickets is 40*6/5=48.
Answer:
1. m = 5 2. v = -19 3. x = 10
4. x = 3 5. x = 32 6. x = -50
Step-by-step explanation:
My mom told me I know everything :D
There 5 5 dollars in the amount given by the teller to Neka
What is the total value of a single denomination?
The total value of a single denomination is the number of that denomination received by Neka multiplied by the value of each denomination
In other words, the total value of 50-dollar is $50 multiplied by 2 since there 2 50- dollar bills, the same applies all other bills.
Total amount=($50*2)+($20*6)+($5*f)
total amount=$245
$245=($50*2)+($20*6)+($5*f)
$245=$100+$120+($5*f)
$245=$220+($5*f)
$245-$220=$5*f
$25=$5*f
f=$25/$5
f=5
In essence, there are 5 5 dollar bills
Find out more about currency denominations on:brainly.com/question/17826927
#SPJ4
Answer:
<h2>The answer is 3</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question we have
We have the final answer as
<h3>3</h3>
Hope this helps you
