The answer is <span>2^7 = 128<span>
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Answer:
A ≈ 9.0 ft²
Step-by-step explanation:
70° = 7π/18 radians
Area of the arc section
A = ½(7π/18)8² = 12⁴/₉π ft² = 39.09537 ft²
As the triangle is isosceles, the other two angles are (180 - 70) / 2 = 55°
law of sines 8 / sin55 = L / sin 70 L = 9.17722
so the triangle height = √(8² - (9.17722/2)²) = 6.55321
Area of triangle ½(6.55321)(9.17722) = 30.07016
Area = 39.09537 - 30.07016 = 9.025211 ≈ 9.0 ft²
Answer:
The flute instructor can conclude that the length of the song does not have a direct variation or correlation with the number of incorrect notes.
Step-by-step explanation:
Direct variation and correlation means that as the "x" variable increases, the "y" variable will change according to it.
If the flute instructor took numerical data, for example, made a chart, and graphed it, then he would not find a trend.
It would probably look like this (see first photo). The plotted points are all over the place. ("x" is the song length, "y" is the number of incorrect notes).
If there was a correlation, then the data would look more like a straight line (see second photo).
Answer:

Step-by-step explanation:
In writing equations for circles with the center and radius given we follow the formula
.
The value of h and k are the center values of (0,0).
So we have:
h = 0
k = 0
r = 4
Now let's plug these values into our formula.



Answer:
Step-by-step explanation:
Find x
- 8/10 = 5/(5 + x) Cross multiply
- 8*(5 + x) = 10*5 Combine on the right
- 8(5 + x) = 50 Remove the brackets on the left.
- 40 + 8x = 50 Subtract 40 from both sides.
- 40-40 +8x = 50-40 Combine
- 8x = 10 Divide by 8
- 8x/8 = 10/8 Divide
- x = 1.25
Find y
- 7/(7 + y) = 8/10 Cross multiply
- 8*(7 + y) = 10 * 7 Combine the right
- 8(7 + y) = 70 Remove the brackets.
- 56 + 8y = 70 Subtract 56 from both sides
- 56 - 56 + 8y = 70 - 56 Combine
- 8y = 14 Divide by 8
- y = 1.75