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12345 [234]
2 years ago
5

An airplane is 275 miles from the airport to get to it present position the plane flew 125 miles due south from the airport and

then flew due west. To the nearest mile how far west did the plane fly?
A-50 miles
B-77 miles
C-245 miles
D-302 miles
Mathematics
1 answer:
Ulleksa [173]2 years ago
4 0

Answer:

(C) 245 miles

Step-by-step explanation:

We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275

If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b²  by the Pythagorean  theorem

or

b² = h² - a² ==> (h + a)(h - a)   {x² - y² = (x + y) (x -y)}

Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000

b =  √60000 = 244.94 and the closest answer is C: 245 miles

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3 years ago
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Andreyy89

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Answer:

  y -1 = -1(x -2)

Step-by-step explanation:

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The point-slope equation for a line through point (h, k) with slope m is ...

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<em>Additional comment</em>

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5 0
3 years ago
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3 years ago
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The question is in the picture
SpyIntel [72]

Remark

Usually this is written in very simple terms. You could do it as a proportion, but it might be easier to see if you used Newton's formula twice.

Formula

F = m * a

m = mass, F = force, a = accelerationn

Givens

F1 = 70 N

a1 = 6.5 m/s^2

m = ?

F2 = ??

m = ?

a2 = 8 m/s^2

Step One

Solve for m

F1 = m * a1              Substitute the values

70 = m *  6.5           Divide by 6.5

70/6.5 = m

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Step Two

Solve for F2

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F2 = ??

F2 = m * a2

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Answer: C rounded to the nearest 1/100

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3 years ago
Least to greatest 4 1/4, 4 1/8, 5 10/11, 4 2/12
andrezito [222]
Firs you need to convert the mixed numbers to decimals (left to right): 4.25; 4.125; 5.909091; 4.166667.. Then you organize them from least to greatest: the 4 as the whole number comes first, adding from the greater place values later; and then the 5 as it's the biggest number.. which makes the order:: 4.125, 4.166667,4.25, 5.909091.. (sorry if explained the way of how kind of bad.. I'm not very good at explanations, but I know my math..)
6 0
3 years ago
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