The 5km (5000 meters) hiking trail will have markers placed every 800 m. How many markers will be used? Explain why your awnser is reasonable.

6 markers

Step-by-step explanation:

5000/800 = 6.25

We can't have a quarter of a marker

If we were to round up it would have to be 5.6 km to fit 7 so we have to round down, and the answer is 6

In addition, along the 5000 m trail there will be one at 800, 1600, 2400, 3200, 4000, and 4800

We can only fit 6 of them along the trail if they are spaced 800 m apart so 6 markers will be able to fit on a 5k trail

We need to calculate how many times there are 800 meters on 5000 meters.

To know so, we can divide 5000 by 800:

5000/800 = 6.25

So now, we know there are 800 meters 6.25 times on this trail.

So, how many markers have to be used? There have to be used 6, as the other 0.25 times will be the last 200 meters of the trail (800*0.25) and we only have to put a mark each 800.

We can also do this manually, from the start:

First mark would be at 800, next at 1600, next at 2400, next at 3200, next at 4000 and the last one at 4800. As we have said, 6 markers.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2