Discover a wealth of knowledge and get your questions answered at IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.
The speed that a tsunami can travel is modeled by the equation [tex]S=356 \sqrt{d}[/tex], where [tex]S[/tex] is the speed in kilometers per hour and [tex]d[/tex] 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?
A. [tex]0.32 \, \text{km}[/tex] B. [tex]0.75 \, \text{km}[/tex] C. [tex]1.12 \, \text{km}[/tex] D. [tex]3.17 \, \text{km}[/tex]
To find the approximate depth of water for a tsunami traveling at 200 kilometers per hour using the equation [tex]\( S = 356 \sqrt{d} \)[/tex], we need to solve for [tex]\( d \)[/tex].
Here’s the step-by-step process to determine the depth:
1. Identify the given values and the equation: - Given: [tex]\( S = 200 \)[/tex] km/h - Equation: [tex]\( S = 356 \sqrt{d} \)[/tex]
2. Substitute the given speed [tex]\( S \)[/tex] into the equation: [tex]\[ 200 = 356 \sqrt{d} \][/tex]
3. Isolate the square root term: Divide both sides of the equation by 356: [tex]\[ \sqrt{d} = \frac{200}{356} \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.
