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:
m = 32g
Step-by-step explanation:
The proportion between m and g can be written ...
m = kg
where k is the constant of proportionality.
__
We can find its value by dividing by g:
k = m/g
Using any pair of corresponding values from the table, we find ...
k = 64/2 = 32
The relationship between m and g can be expressed by the equation ...
m = 32g
Answer:
Neil is 28yrs and his brother is 42yrs old
Step-by-step explanation:
Let r = Neil's brother's age at birth time
2r = Neil's age now
This means that his brother's current age is 3r
So when Neil = 3r old
His brother = 4r old
3r + 4r = 98
7r = 98
r = 14
So their ages now
Neil's brother = 3*14= 42
Neil = 2*14= 28.
Answer:
y = 18
Step-by-step explanation:
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C) 3
the sqrt of 12-3 is 3 and the sqrt of 36 is 6 so 3 is your answer