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lord [1]
3 years ago
8

He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t

hat the wind is coming from the west at 68 miles per hour. in order to travel in a straight line, the ring wraiths decide to head northwest. at what speed should they fly (omit units)?

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

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Stels [109]

Answer:

x = -3

Step-by-step explanation:

Given expression is,

\frac{2}{x}- \frac{4x}{2x-3}=-2

\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2

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(4x - 6) - 4x² = -2x(2x - 3)

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3 0
3 years ago
17 POINTS!!!! List the elements in the set described. {x|x is a natural number between 9 and 17} (Use a comma to separate answer
stepladder [879]

Answer:

10, 11, 12, 13, 14, 15, 16

Step-by-step explanation:

The natural numbers are 1, 2, 3, 4, ...

The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.

Answer: 10, 11, 12, 13, 14, 15, 16

8 0
3 years ago
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Sergio039 [100]

Answer:

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Step-by-step explanation:

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3 years ago
If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

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24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

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Digiron [165]

Answer:

I think - 11 Is a negative number that is why it is an integer number maybe whole number also

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