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The SR-71 “Blackbird” is one of the worlds fastest airplanes and is capable of traveling at a cruising speed of Mach 3 , or three times the speed of sound. The speed of sound is approximately 7.6 x 10^2 miles per hour . What is Mach 3 in miles per hour ? Put your answer in scientific notation. Thanks !

Respuesta :

calculista

Answer:

[tex]2.28*10^{3}\frac{mi}{h}[/tex]

Step-by-step explanation:

Let

x-----> the speed of sound in miles per hour

y----> the speed in Match 3

we know that

[tex]y=3x[/tex] -----> equation A

[tex]x=7.6*10^{2}\frac{mi}{h}[/tex]

Substitute the value of x in the equation A

[tex]y=3(7.6*10^{2}\frac{mi}{h})=22.8*10^{2}\frac{mi}{h}[/tex]

[tex]22.8*10^{2}\frac{mi}{h}=2.28*10^{3}\frac{mi}{h}[/tex]

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