Explain the error in the work shown. Find the correct answer.

Mathematics

2 answers:

const2013 [10]3 years ago

5 0

You cant have a negative exponent

Kobotan [32]3 years ago

4 0

The mistake is in 3rd step, as we can't equate powers if bases are different.
4^-3=2^8a
2^-6=2^8a
-6=8a
-3/4=a

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Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation $x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta)$ , where we will use ft for distances.

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Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have $\theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}$ , and from now on we have just to use a calculator, obtaining $\theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ$