To determine the speed of a wave, you can use the wave speed formula, which relates the speed of the wave to its wavelength and frequency. The formula is given by:
[tex]\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \][/tex]
Given:
- The wavelength ([tex]\(\lambda\)[/tex]) is 4 meters.
- The frequency ([tex]\(f\)[/tex]) is 85 hertz (Hz).
Plugging these values into the formula:
[tex]\[ \text{Speed} = 4 \, \text{m} \times 85 \, \text{Hz} \][/tex]
[tex]\[ \text{Speed} = 340 \, \text{m/s} \][/tex]
Therefore, the speed of the wave is:
[tex]\[ 340 \, \text{m/s} \][/tex]
