C.-2 and -11 that would be the answer.
A. An organ is the oldest keyboard instrument.
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
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Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
Answer:
190 km an hour
Step-by-step explanation:
We know that:
![V = l \times w \times h](https://tex.z-dn.net/?f=%20V%20%3D%20l%20%5Ctimes%20w%20%5Ctimes%20h)
Substituting known values, we have:
![V= 4ft \times 4ft \times 15ft](https://tex.z-dn.net/?f=%20V%3D%204ft%20%5Ctimes%204ft%20%5Ctimes%2015ft)