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

the speed that a tsunami 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. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?\no 0.32 km\no 0.75 km\no 1.12 km\no 3.17 km

the speed that a tsunami 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. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?\no 0.32 km\no 0.75 km\no 1.12 km\no 3.17 km

Answer

Explanation:

Step1: Substitute given value of S

Given $S = 356\sqrt{d}$ and $S = 200$. Substitute $S$: $200=356\sqrt{d}$.

Step2: Isolate the square - root term

Divide both sides by 356: $\sqrt{d}=\frac{200}{356}=\frac{50}{89}$.

Step3: Solve for d

Square both sides: $d = (\frac{50}{89})^2=\frac{2500}{7921}\approx0.32$.

Answer:

0.32 km