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3 years ago

13

An airplane flies due North at 100mph through a 30mph cross wind blowing from S80E. Determine the resultant velocity and directi

on of the airplane

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

velocity of the airiplaine is 104 m/s ( 73 degrees N of W)

Step-by-step explanation:

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Please help me with this math question

Volgvan

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4 years ago

Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

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\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
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sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

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igor_vitrenko [27]

Answer:

This is what i get

Step-by-step explanation:

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4 years ago

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ozzi

The circumference by definition is given by:
C = 2 * pi * r
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r: radius of the circle.
Substituting values we have:
C = 2 * 3.14 * 16
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Convert 125 km to miles

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