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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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Find the smallest solution to the equation 2/3 X² equals 24
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Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

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Take the square root of each side

sqrt(x^2) = sqrt(36)

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The smallest solution is -6

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4 0
3 years ago
Amanda teaches all of the bass and viola students. All of her classes have the same number of students. Each class has the great
alexandr402 [8]

Answer:

5 classes - 2 bass classes and 3 viola classes.

Step-by-step explanation:

Find the greatest common factor (GCF)

List the factors of 20 and 30:

20: 1, 2, 4, 5, 10, 20

30: 1, 2, 3, 5, 6, 10, 15, 30

The greatest factor that both numbers share is 10.

Therefore, there are 10 students in each class. So, she teaches 2 bass classes and 3 violas classes.

hope this helps! <3

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1 year ago
A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of t
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6.5

Step-by-step explanation:

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97.5/ 15 = 6.5

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2 years ago
In AJKL, the measure of ZL=90°, JL = 55, LK = 48, and KJ = 73. What
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Answer:

Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.

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Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.

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Ordered pairs look like this btw (x,y)

Hope this helps :)

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