One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.
Since both the cars are travelling towards each other their combined speed will be: 75+105=180 km/h.
Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is:
hours.
Now, the speed of the canary is 100 km/h.
Therefore, the Canary flies flies for (100 km/h)x(3 hours) = 300 km before the cars collide.
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
Answer:
41.60
Step-by-step explanation:
4% of 40=1.6
40+1.6=41.6