The correct answer is: [B]: " 3 " . _______________________________________________ Note: _______________________________________________ The question asks: _______________________________________________ If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents: ________________________________________________ (xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" . ________________________________________________ The answer is: "m = 3" ; which is: Answer choice: [B] . ________________________________________________
To solve the question we shall use the formula for the range given by: Horizontal range, R=[v²sin 2θ]/g plugging in our values we get: 500=[160²×sin 2θ]/10 5000=160²×sin 2θ 0.1953=sin 2θ thus: arcsin 0.1953=2θ 11.263=2θ hence: θ=5.6315°~5.63
