$\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{4}}\impliedby \textit{let's find the \underline{hypotenuse}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{3^2+4^2}\implies c=5
\\\\\\
sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}$

bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.

5 0

4 years ago

What is the wave speed of a wave that has a frequency of 25 Hz and a wavelength of 0.80 m?

tatuchka [14]

Answer:

Speed = 20 m/s

Step-by-step explanation:

The formula to find the speed of a wave is found by

Speed = Wavelength x Frequency where the frequency is in HZ and the wavelength is in meters

Speed = .80*25

Speed = 20 m/s

3 0

3 years ago

Read 2 more answers

ANYEONESSSSSSSSSS???

Dmitriy789 [7]

Answer:

C. 2

Step-by-step explanation:

To solve slope, the formula is $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ . 9-3 is 6 and 5-2 is 3. So simplify 6/3 to 2.

Hope it's correct!

4 0

3 years ago