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 answer is B. 12 : 20
The numbers simply need to be simplified by 4 to reach 3 : 5.
12 / 4 : 20 / 4
3 : 5
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Answer:
1, 2, 17, 34
Step-by-step explanation:
1 x 34 = 34
2 x 17 = 34
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The population mean is p = 64
The sample size is n = 56
The sample mean is
The standard deviation is
The null hypothesis is
The alternative hypothesis is
The test statistics
The level of significance is
The p-value is
Given that the we reject the null hypothesis