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Paraphin [41]
3 years ago
9

Two planes are circling an airport awaiting their landing clearance. If the following measures in the diagram below are correct,

how far are the two planes away from each other? Find the distance from Point D to Point C. (Hint: Start by finding length AC).
A. 2800 feet


B. 4557 feet


C. 5796 feet


D. 6132 feet

Mathematics
2 answers:
malfutka [58]3 years ago
4 0
I’m pretty sure the answer is 4557 feet :)
RideAnS [48]3 years ago
4 0

Answer:

<h2>B. 4557 ft</h2>

Step-by-step explanation:

In this problem we have to types of triangles. We have a right triangle and a not right triangle.

The side we have to find is part of the not right triangle, so there we would have to use the law of cosines. However, that triangle isn't complete. So, we first have to find the hypothenuse of the right triangle AC, and then apply the law of cosines for the upper triangle.

We have to apply trigonometric reasons to find the hypothenuse, because we know only one side and one angle of the right triangle. So,

sin28\°=\frac{1800}{AC}\\\\ AC=\frac{1800}{sin28\°}=3834ft

Now we have AC, we apply the law of cosines to the upper triangle ACD

CD^{2}=AC^{2}+AD^{2}-2AC.AD.cos34\°\\  CD=\sqrt{(3834)^{2}+(7200)^{2}-2(3834)(7200)(cos34\°)}\\CD=4557ft

Therefore, the right answer is B. 4557 ft.

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7% of what lenght is 200 ft?
Nastasia [14]
If you would like to solve 7% of what length is 200 ft, you can calculate this using the following steps:

7% of what length is 200 ft
7% * x = 200
7/100 * x = 200      /*100/7
x = 200 * 100 / 7
x = 2857 ft

Result: 7% of 2857 ft is 200 ft.
5 0
3 years ago
Read 2 more answers
A swim pass cost $30 dollars for the first month. Each month after that , the cost is 20$ per month. Riley wants to swim for 12
Zolol [24]

The answer is $250 for the 12 months.

7 0
3 years ago
The price s of a pair of shoes plus 5% sales tax
zzz [600]

An expression for that would be s + 0.05s, or 1.05s.

3 0
3 years ago
Please help and thank you. ​
Marina CMI [18]

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0
3 years ago
Reflect the point (-2, -5) in the y-axis
Rashid [163]

Answer:

(2, -5)

Step-by-step explanation:

8 0
3 years ago
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