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Dafna1 [17]
2 years ago
12

As Artemis Fowl's private jet approaches Heathrow airport, its horizontal distance from the airport is 22 miles when his altitud

e is 2.2 miles. To the nearest degree, what is the angle of descent of Artemis' plane?​

Mathematics
2 answers:
dezoksy [38]2 years ago
7 0

Answer:

The angle of descent of Artemis' plane is 6°

Step-by-step explanation:

Let

x -----> the angle of descent of Artemis' plane

we know that

The tangent of angle x is equal to divide the opposite side to angle x (altitude) by the adjacent side to angle x (horizontal distance)

see the attached figure to better understand the problem

so

tan(x)=2.2/22

x=arctan(2.2/22)=5.71°

Round to the nearest degree

x=6°

Murljashka [212]2 years ago
6 0

Answer:

The angle of descent of Artemis' plane is 6°

Step-by-step explanation:

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Standard deviations of the four activities of the critical path are 1,2,4,2.

Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path

Standard deviation of critical path =\sqrt{1^2+2^2+4^2+2^2}

=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

z=\frac{38-40}{5}= \frac{-2}{5}=-0.4

P(X

Probability =0.5-0.16=0.34

Thus the probability that the project will be completed in 38 weeks is 0.34.

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2 years ago
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Suppose that the exam scores for students in a large university course are normally distributed with an unknown mean and standar
HACTEHA [7]

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

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For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

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When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders o
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2 years ago
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If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.
nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here,  triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒  m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° >  ( m∠ L+ m∠ N ) > 0      ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

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2 years ago
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Fill in the Blanks
meriva
Idk good luck though
3 0
2 years ago
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