the speed that a tsunami (tidal wave) can travel is modeled by the equation $s = 356sqrt{d}$, where $s$ is…

the speed that a tsunami (tidal wave) can travel is modeled by the equation $s = 356sqrt{d}$, where $s$ is the speed in kilometers per hour, and $d$ is the average depth of the water in kilometers. a tsunami is traveling at 140 km/hr. what is the approximate average depth of the water?\n0.133 km\n0.145 km\n0.155 km\ndone

the speed that a tsunami (tidal wave) can travel is modeled by the equation $s = 356sqrt{d}$, where $s$ is the speed in kilometers per hour, and $d$ is the average depth of the water in kilometers. a tsunami is traveling at 140 km/hr. what is the approximate average depth of the water?\n0.133 km\n0.145 km\n0.155 km\ndone

Answer

Explanation:

Step1: Substitute given values

Given $S = 140$ and $S=356\sqrt{d}$, we substitute $S$: $140 = 356\sqrt{d}$.

Step2: Isolate $\sqrt{d}$

Divide both sides by 356: $\sqrt{d}=\frac{140}{356}=\frac{35}{89}$.

Step3: Solve for $d$

Square both sides: $d = (\frac{35}{89})^2=\frac{1225}{7921}\approx0.155$.

Answer:

$0.155$ km