Question

Николай вышел из дома и двигался на север 1 час со скоростью 4 км/ч. Затем полчаса на восток со скоростью 6 км/ч. На каком расстоянии от дома он оказался? Ответ дайте в километрах. у меня получилось 7,но ответ не верный

Answer 1

Смотри представь что Николай идёт и оставляет за собой краску.

Если он пройдёт весь этот путь и дойдёт до дома то получится прямоугольный треугольник 

Ищем третью сторону по теореме Пифагора:

1)4*2+3*2=x*2

2)16+9=x*2

3)25=x*2

4)x=5

Ответ:он прошёл 5 километров.

Answer 2

Calculation of Distance Traveled

To calculate the distance Nikolai traveled, we need to determine the distance traveled in each direction (north and east) and then use the Pythagorean theorem to find the total distance from the starting point.

1. Distance traveled north: Nikolai traveled north for 1 hour at a speed of 4 km/h. Therefore, the distance traveled north is 4 km/h * 1 h = 4 km.

2. Distance traveled east: Nikolai traveled east for 0.5 hours (30 minutes) at a speed of 6 km/h. Therefore, the distance traveled east is 6 km/h * 0.5 h = 3 km.

Now, we can use the Pythagorean theorem to find the total distance from the starting point. The Pythagorean theorem states that the square of the hypotenuse (the total distance) is equal to the sum of the squares of the other two sides (the distances traveled north and east).

Let's calculate the total distance:

Total distance = sqrt((distance north)^2 + (distance east)^2)

Total distance = sqrt((4 km)^2 + (3 km)^2)

Total distance = sqrt(16 km^2 + 9 km^2)

Total distance = sqrt(25 km^2)

Total distance = 5 km

Therefore, Nikolai ended up 5 kilometers away from his starting point.

Please note that the answer provided is based on the given information and calculations.