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Soloha48 [4]
4 years ago
15

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M.

Mathematics
1 answer:
weqwewe [10]4 years ago
8 0

Answer:

D

Step-by-step explanation:

You can look at it like a right triangle being made with the vertical part being 9 and the horizontal part being 8, then you want to find the diagonal part. So that's the Pythagorean theorem


\sqrt{8^2+9^2}=12.042

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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.

3 0
2 years ago
What number line best shows the position of square root 3
Aleks04 [339]

Since the √3 is about 1.73, it would fit best on the first line.

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Answer:

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Step-by-step explanation:

15% of 100 = 15

15 x 3 = 45

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What is π is it a rational or irrational​
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irrational

Step-by-step explanation:

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Wich set of ordered pairs does not represent a function.<br> Please help.
pantera1 [17]

Answer:

D.

Step-by-step explanation:

A function has to have only one y-value for every x-value. This means that D is not a function because it contains (6,2) and (6, 4), which means that there are 2 different y-values for the x-value of 6.

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