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Dahasolnce [82]
3 years ago
11

The harmonic mean of two numbers, a and b, equals 2/ 1/a +1/b. As you vary the length of a violin or guitar string, its pitch ch

anges. If a full-length string is 1 unit long, then many lengths that are simple fractions
produce pitches that harmonize, or sound pleasing together. The harmonic mean relates two lengths that produce harmonious sounds. Find the harmonic mean for the string lengths of 1 and 1/2
Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

2 / (1/a + 1/b)

2 / (1/1 + 1/(½))

2 / (1 + 2)

2/3

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Identify the distance between points (3,7,1) and (9,6,7), and identify the midpoint of the segment for which these are the endpo
Virty [35]

Step-by-step explanation:

range = (3,7,1)  -  (9,6,7) \\  = ( - 6,1, - 6) \\ distance =  \sqrt{ {x}^{2} +  {y}^{2} +  {z}^{2}   }  \\  =  \sqrt{ {( - 6)}^{2} +  {1}^{2} +  {( - 6)}^{2}   }  \\  =  \sqrt{73}  \\  = 8.5 \: units

4 0
2 years ago
Read 2 more answers
Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch or a square with side length of 2 1/2 inches
liraira [26]

Answer:

an rectangle

Step-by-step explanation:

because it is 7 inches and it is 3/4 inches

4 0
2 years ago
Venn Diagrams contain how many sets, depicted by circles?
Nadusha1986 [10]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The angles in a triangle are in the ratio of 5:7:8. Find the measure of each angle.
hammer [34]
In a triangle, the three interior angles always add to 180°

5x + 7x + 8x = 180
20x = 180
x = 180/20
x = 9

m∠1 = 5x = 5*9 = 45°

m∠2 = 7x = 7*9 = 63°

m∠3 = 8x = 8*9 = 72°

Answer:
45°, 63° and 72°
5 0
3 years ago
It takes Jack Frost 5 minutes to fly 35 minutes with the wind. It takes him 7 minutes to go 35 minutes against the wind. Determi
dezoksy [38]

Answer:his speed in still air is 6 miles per minute.

the speed of the wind is 1 mile per minute.

Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y

Distance = speed × time

It means that

35 = 5(x + y)

35 = 5x + 5y - - - - - - - - - - -1

It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y

It means that

35 = 7(x - y)

35 = 7x - 7y - - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 5, it becomes

245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

35 = 30 + 5y

5y = 35 - 30 = 5

y = 5/5 = 1

5 0
3 years ago
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