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zhenek [66]
3 years ago
5

One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38

degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?
Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

123.2 miles

Step-by-step explanation:

Given that One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38 degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?

The angle Ø = 90 + 52 = 142 degree

Or 180 - 28 = 142 degree

Using cosine formula

D^2 = 78^2 + 52^2 - 2(78)(52)Cos142

D^2 = 6084 + 2704 - 8112Cos142

D^2 = 8788 + 6392.34

D^2 = 15180.34

D = 123.2 miles

Therefore, the two planes are 123.2 miles apart.

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Yes you would have enough for 2 batches of cookies
6 0
3 years ago
Find the 52nd term of the following arithmetic sequence.<br> 17, 22, 27, 32, ...
rewona [7]

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

4 0
3 years ago
Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Anni [7]

Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

  • Volume of a cube = base * height * width

So:

  • Volume of a cube = 6 ft * 6 ft * 6 ft
  • <u>Volume of a cube = 216 ft^3 </u>

<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

  • Volume of a pyramid = 1/3 36 ft^2 * 8 ft
  • <u>Volume of a pyramid = 96 ft^3 </u>

Finally, we add the volumes found:

  • Volume of the composite figure = 216 ft^3 + 96 ft^3
  • <u>Volume of the composite figure = 312 ft^3</u>
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The number of students enrolled at hill school decreased by 120 students over an 8-year period. what was the average decrease in
MAVERICK [17]
120 divided by 8= 15

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True or False: Exponential growth and exponential decay graphs are always<br> functions
adell [148]

Answer:

true

Step-by-step explanation:

8 0
2 years ago
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