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natka813 [3]
2 years ago
9

Find the degree measure of alpha to the nearest tenth of a degree.

Mathematics
2 answers:
slega [8]2 years ago
7 0
Tanα=y/x

α=arctan(y/x), we are given the point (3.2, 6.2) so:

α=arctan(6.2/3.2)°

α=arctan(1.9375)°

α≈62.7°  (to nearest tenth of a degree)
DerKrebs [107]2 years ago
7 0
\bf \begin{array}{rllll}
(3.2&,&6.2)\\
x&&y
\end{array}\\\\
-------------------------------\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{y}{x}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \frac{y}{x} \right)
\\\\\\
\theta =tan^{-1}\left( \frac{y}{x} \right)\implies \measuredangle \theta =tan^{-1}\left( \frac{6.2}{3.2} \right)

make sure your calculator is in Degree mode
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Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

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