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olganol [36]
3 years ago
7

An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude. A. 894 miles B. 1,058 miles C. 646 miles D. 1,251 miles
Mathematics
2 answers:
NeX [460]3 years ago
7 0

Answer:

1058

Step-by-step explanation:

Plato

nekit [7.7K]3 years ago
6 0

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

Use Law of cosines  

d = √(800^2 + 1200^2 - 2·800·1200·COS(60°)) = 1058 miles

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3(x + 1) = -2(x - 1) - 4
Svetllana [295]

Answer:

<h2><em><u>x = -1</u></em></h2>

Step-by-step explanation:

<em><u>1. Distribute</u></em>

3x + 3 = -2x + 2 - 4

<em><u>2. Simplify</u></em>

-2x + 2 - 4

2-4 = -2

-2x - 2

<em><u>3. Solve</u></em>

3x + 3 = -2x - 2

+2x       +2x

<em><u>4. Cont. Solving</u></em>

5x + 3 = -2

     -3     -3

5x = -5

<em><u>5. Divide by 5</u></em>

5x = -5

/5      /5

<h2><em><u>x = -1</u></em></h2><h2><em><u /></em></h2>

Hope this helped,

Kavitha Banarjee

8 0
3 years ago
A moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the moving firm for x hours. A)
I am Lyosha [343]
A) y = 40x + 45. B) set x equal to 3 and solve for y. C) set 265 for y and solve for x.

8 0
3 years ago
Help how much does Sophie weigh
Artyom0805 [142]

Answer:

45

Step-by-step explanation:

You take 181-119=62 then 119-74=45 then the last one was 74, to check you add them all together and you should get 181, since sofia was the smallest she is 45lbs    

3 0
3 years ago
PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class
Mila [183]

Answer:

3. 261 ft³

Step-by-step explanation:

Volume of the figure = ½(volume of cylinder) + volume of triangular prism)

✔️Volume of cylinder = πr²h

r = 3 ft

h = 10 ft

Volume of cylinder = π*3²*10 = 282.74 ft³

✔️Volume of right triangular prism = ½*b*h*l

b = 3*2 = 6 ft

h = 4 ft

l = 10 ft

Volume of triangular prism = ½*6*4*10 = 120 ft³

✔️Plug in the values into the equation:

Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³

4 0
3 years ago
Tell whether the ratios form a proportion<br><br> Someone please help!
DanielleElmas [232]
No because they do not have the same factors
3 0
3 years ago
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