A kayaker paddles due west for 1.5 km. He then turns due south and paddles a further 800 m.
a Draw a diagram of the situation.
b How far is the kayaker from his starting point?
c In what direction must he travel to return to his
starting point?

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Ответ:

boportsmouth7908

27.07.2021

Mathematics

$4^{-\frac{1}{2}} = \tfrac{1}{2}$ ===we have an exponent property that says $a^{-m} = \dfrac{1}{a^m}$ so applying this here: $4^{-\frac{1}{2}} = \dfrac{1}{4^{\frac{1}{2}}}$ we have this other exponent property: $a^{\frac{m}{n}} = \sqrt[n]{a^m}$ since $4^{\frac{1}{2}} = \sqrt[2]{4^1} = \sqrt{4} = 2$ $\begin{aligned} 4^{-\frac{1}{2}} & = \dfrac{1}{4^{\frac{1}{2}}} \\ & = \dfrac{1}{2} \end{aligned}$ simplified answer is 1/2

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