The speed of sound in the air is 340 m / s. at what distance in km the thunder thundered, which is audible after 10.5, seconds Write down the answer in the form a 10ᵇ, where a, b∈N
In 1 second, the sound of thunder travels a distance of 340 m.Let’s make the proportion and find the distance that the sound of thunder travels in 10, 5 s:
1 s = 340 m;
10.5 s = x.
x = 10.5 * 340/1 = 10.5 * 340 = 3570 – the distance covered by the sound of thunder in 10.5 s in meters.
Let’s translate 3570 m into kilometers.
1 km contains 1000 m.Let’s make the proportion and find the number of kilometers in which 3570 m is contained:
1 km = 1000 m;
x = 3570 m.
x = 3570/1000 = 357/100 = 357 / 10² = 357 * 10⁻² – the distance that the sound of thunder travels in 10.5 s in kilometers.
Answer: 357 * 10⁻² km.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.