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nika2105 [10]
3 years ago
6

Find the value of x. Round the length to the nearest tenth.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
4 0
I feel like your answer would be 9.2 cm
Reptile [31]3 years ago
4 0

Consider the given right triangle.

We have to find the value of 'x'.

Consider \tan 40^{\circ}

Since \tan \Theta =\frac{P}{B}

\tan 40^{\circ} = \frac{x}{11}

Finding the value of \tan 40^{\circ} from the calculator,

We get

\tan 40^{\circ} = 0.84

Now, 0.84 = \frac{x}{11}

x = 0.84 \times 11

x = 9.24

x = 9.2 (Rounded to nearest tenth)

So, the value of 'x' is 9.2 cm.

Option 3 is the correct answer.


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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
write a conjecture as to the number of sides as compared to the number of triangles formed when drawing diagonals from one verte
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Answer:The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1.

Step-by-step explanation :an opinion or conclusion formed on the basis of incomplete information.

8 0
3 years ago
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mojhsa [17]

Answer:

The first plan of $49 will be best plan for her.

Step-by-step explanation:

Katherine used 1479 minutes call in the last 6 months.

So, the average monthly call that Katherine made is \frac{1479}{6} =246.5 minutes.

Now, there are two plans for mobile recharge.

One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.

Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)

8 0
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Correct solutions if identified to be incorrect​
german

Answer:

it is correct

Step-by-step explanation:

b/c 5a square - 25b square

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Step-by-step explanation:

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