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Maurinko [17]
3 years ago
10

A sphere has center (0,0,0) and a radius of 5. Which of the following points lie on the sphere?

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
Since the sphere is located at the center and has radius 5.
Out of the following given points,
(5,5,-5) will lie on the sphere, where x and y coordinates will be positive and z coordinate will be negative.
This is because the radius of the circle is 5 units.
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Answer:

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Step-by-step explanation:

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3 years ago
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
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Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

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3 years ago
Which transformation shows that the two given circles are similar?
gregori [183]
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Answer:

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Step-by-step explanation:

Let's simplify step-by-step.

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Combine Like Terms:

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Step-by-step explanation:

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