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IRISSAK [1]
3 years ago
15

What is the range of the function in the given table?

Mathematics
2 answers:
Aloiza [94]3 years ago
6 0
I think its b but im not sure
mezya [45]3 years ago
3 0

Answer:

Mark me brainliest

Step-by-step explanation:

Because im cool

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Aleksandr-060686 [28]
The answer is A, \frac{1}{81}. This is because when plugging in -2 for x, the expression will look like this: 9^{-2}. To make the exponent positive, you have to flip it into a fraction. Then it will be \frac{1}{9^2}. Lastly, you simplify the denominator into 81.
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Nick gets out of school at 2:25 pm he has a 15min ride home on the bus then goes on a 30 min bike ride then spends 55 min doing
klasskru [66]
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2 years ago
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

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