I need help with 3D pythagoras

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

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Given the graph of f(x), determine the range of f−1(x).

11Alexandr11 [23.1K]

The graph of f(x) has a horizontal asymptote at y = 3, so its range is the interval union (-∞, 3) U (3, ∞).

The domain of its inverse is the same as the range of f, so the fourth option is correct.

7 0

2 years ago

The foul lines of a baseball field intersect at home plate to form a right angle. A batter hits a fair ball such that the path o

liraira [26]

Answer:

The angle formed between the first base foul line and the path of the baseball is 63°.

Step-by-step explanation:

This is not a difficult problem. We only need to remember the measure of a right angle, which is 90°. Now, recall that the path baseball divides the right angle in two angles, and we know the measure of one of them.

In the attached figure the black lines are the foul lines of the baseball field, and the blue line is the baseball path. In green is the given angles and colored red is the wanted angle.

So, the sum of the angles α and β is 90° and we know the measure of the angle α: 27°. So,

α + β = 90° .

Then,

β = 90° - α = 90° - 27° = 63°.