If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
- He moves 8 yards east, to: (8yd, 0)
- He moves 6 yards north, to: (8yd, 6yd)
- He moves 12 yards east, to: (20yd, 6yd)
- He moves 5 yards north, to: (20yd, 11yd)
So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
If you want to learn more about displacements, you can read:
brainly.com/question/13271165
Answer:
-1
Step-by-step explanation:
You go down 1 ( which is why it's -1) and then over 1 so it would be -1/1 or simplified as -1
Answer:
180°
Step-by-step explanation: We are given the co-ordinates of ΔDEF as D(-1,6), E(1,3) and F(6,3).
Now, after rotation the co-ordinates of the new triangle D'E'F' are D'(1,-6), E'(-1,-3) and F'(-6,-3).
As we see that, the co-ordinates of triangle DEF are multiplied by negative sign to obtain the co-ordinates of triangle D'E'F'.
This means that, the triangle DEF is rotated 180° to form triangle D'E'F' because rotating 180 changes (x,y) to (-x,-y).
So, the rotation applied is 180° to ΔDEF.
Mhm, absolutely. Notice that we do not have a common unit circle value for any division of 8. But we do have a value for is 7pi/4. Now in order to actually get the value of 7pi/8, we use a half angle formula. So what we do is we will write out the formula and plug 7pi/4 into that formula, this will give us the value of 7pi/8. So the formula we need to plug 7pi/4 into is this:
<span>±<span><span><span>1+cos2θ</span>2</span><span>−−−−−−−−−</span>√</span></span><span>SO if you plug in 7pi/4 for theta in that formula, you think you could simplify it to find 7pi/8?</span>