Simplify the expression 6h+(-7.1d)-15+4d-2.8h.
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The balloon's vertical distance above the ground is 430 feet.
<h3>What is the angle of depression?</h3>You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.
The angle from horizontal to the point where you stopped your head is called the angle of depression.
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.
The angle of depression = 39°
The base = 532
We need to find the vertical distance consider perpendicular.
Therefore, the balloon's vertical distance above the ground is 430.80 feet.
Learn more about the angle of depression here;
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The given functions are:
The domain is the set of all possible values that the independent variable (x) can take.
The range is the set of values that the function will take.
For these functions, the domain is all real numbers since they both will work with any positive or negative number (-∞,∞). Thus, the range is the same, all real numbers (-∞,∞).
But, for the purpose of the question let's analyze the interval you took for the table of values:
For f(x) function, you take x-values from -3 to 3, then the domain in this interval is [-3,3] and the range is the output values (f(x)), then the range is [-7,11].
For g(x) function, you take x-values from -7 to 11, then the domain in the interval is [-7,11] and the range (the g(x) values obtained) is [-3,3].
As can be noticed, in the interval the domain of the f(x) functions is the same as the range of the g(x) function, and the domain of the g(x) function is the same as the range of f(x) function. This happens because g(x) is the inverse function of f(x).