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Semenov [28]
2 years ago
12

10. Match each measurement with the correct number of dimensions.

Mathematics
1 answer:
4vir4ik [10]2 years ago
8 0
1. area - a
2. height - b
3. length - b
4. volume - c
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Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the
Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

4 0
3 years ago
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Smplify the expression:<br> 5+6i/4+6i
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If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?
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Step-by-step explanation:

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In ΔABC,AB = 20 cm, AC = 15 cm. The length of the altitude AN is 12 cm. Prove that ΔABC is a right triangle.
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