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erastovalidia [21]
3 years ago
15

Mind if I get some help?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
I may be late but I can still help.
The MAD should be 9.

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An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i
Alexandra [31]
<h3>Answer: D) 1692 miles</h3>

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

  1. Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.
  2. Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.
  3. Plot the points E and F, which are north and south of point B.
  4. Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.

The diagram below shows all of this visually summarized. We have the segments

  • AB = 550 miles
  • BC = 483 miles
  • AC = x miles

And we have these angles

  • Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)
  • Angle ABC = 79 degrees (red)
  • Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

  • A = 46 degrees
  • B = 79 degrees
  • C = 55 degrees

The sides opposite the angles are

  • a = 483 (opposite angle A)
  • b = x (opposite angle B)
  • c = 550 (opposite angle C)

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

3 0
3 years ago
X^4 a^5 / x^3 a^3<br><br> answers<br><br> x^2 a^2<br> xa^2<br> x^-1 a^-2<br> a^2/x
bagirrra123 [75]
Well the answer i got was a^{8}x when i multiplied
the answer i got when i added was x^{4} + \frac{ a^{5} }{ x^{3} } + a^{3}
3 0
3 years ago
Please help me outtt :D
kobusy [5.1K]

Answer:

the answer would be B the answer would be B

8 0
2 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
boyakko [2]

Answer:

Step-by-step explanation:

y=59(0.59)ˣ

As the number under the exponent is less than 1, this is a decay function.

Value of y will be decreased by (1.00 - 0.59)100 =  41% for each unit increase in x.

3 0
3 years ago
A call center data set shows that in a sample of 30 ​individuals, 11 had prior call center experience. If we assume that the pro
ira [324]

Answer:

P(X > 5) = 0.1164 to 4 d.p.

The parameters are defined in the explanation.

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of potential hires = 10

x = Number of successes required = number of potential hires that have prior call centre experience = more than half; that is, x > 5

p = probability of success = probability that any potential hire will have experience = (11/30) = 0.367

q = probability of failure = probability that any potential hire will NOT have experience = 1 - p = 1 - 0.367 = 0.633

P(X > 5) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10)

Inserting the parameters and computing the probabilities for each of those values of X,

P(X > 5) = 0.11641775484 = 0.1164 to 4 d.p.

Hope this Helps!!!

4 0
3 years ago
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