1 by 8 rectangle... that is a area of 8 square inches.
the greatest is 4 by 5 that is a area of 20 square inches.
The difference is 12
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:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
Step-by-step explanation:
3x7=21
21x2=42
total 42 carrots