22.58 is a dad so multiply it by three and get 490
We can simplify this equation and find the value of k.
k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
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]
The range of possible values of the measurement is:
[45.97cm, 48.03cm]
<h3>Which is the possible range for the measurement?</h3>
Here we have the measurement:
measurement 47 cm ± 2.2%
The 2.2 percent of 47cm is:
47cm*( 2.2%/100%) = 47cm*(0.022) = 1.034 cm
Then the minimum of the measurement is:
47cm - 1.034cm = 45.97cm
The maximum of the measurement is:
47cm + 1.034cm = 48.03cm
we conclude that the correct option is the second one:
[45.97cm, 48.03cm]
If you want to learn more about ranges:
brainly.com/question/24326172
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