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Aleks04 [339]
3 years ago
15

A violin student records the number of hours she spends practicing during each of nine consecutive weeks. 6.2 5.0 4.3 7.4 5.8 7.

2 8.4 1.2 6.3 what is the median number of hours spent practicing per week during this period? 6.15 hours 8.40 hours 5.76 hours 6.20 hours
Mathematics
1 answer:
Annette [7]3 years ago
5 0
Hours spent practicing is 5.76 hours
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Find an equation of the circle that has center (-4,3) and passes through (6,-4).
kumpel [21]

Answer:

(x+4)^2+(y-3)^2=149

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center of the circle and r is the radius of the circle.

Given that (h,k)\rightarrow(-4,3) and it passes (6,-4), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}

Therefore, if the length of the radius is r=\sqrt{149} units, then r^2=149, making the final equation of the circle (x+4)^2+(y-3)^2=149

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3 years ago
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4 years ago
What is sin 7pi/4? I'm currently taking a tirg course and need help
qaws [65]
To ease the understanding, let's write it in degrees and not in Radian:

Formula of conversion: Degree°/180 = Radian/π

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sin(7π/4) = sin(315°) = sin( - 45°) = - sin(45°) = - (√2)/2
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3 years ago
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