Answer:
2000 meters
Step-by-step explanation:
When the motorboat is moving downstream, its speed relative to the ground is 18 km/h, so its speed relative to the raft is 15 km/h.
When the motorboat is moving upstream, its speed relative to the ground is 12 km/h, so its speed relative to the raft is again 15 km/h.
Converted to m/min, the relative speed is:
15 km/h × (1000 m/km) × (1 h / 60 min) = 250 m/min
It takes the motorboat 16 minutes to travel to the front of the raft and back. Since the speed is the same in both directions, the motorboat takes 8 minutes to travel the length of the raft.
So the length of the raft is 250×8 = 2000 meters.
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 150
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25
I really hope this helps you =)
Step-by-step explanation:
The sum of the three angles in a triangle must be 
. Since this triangle has a right angle, we know that it is 
°, so the sum of the remaining two angles must be .
We can set up an equation for the two remaining angles to determine the value of 
:
19 if u add all separately but it is 89 it u don't
