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galben [10]
3 years ago
14

The set of ordered pairs in the table below can be described as which of the following?

Mathematics
1 answer:
Leto [7]3 years ago
3 0
Correct Answer: A relation only

A set of ordered pairs is said to be a relation. So the given pairs form a relation.
For a relation to be a function, the condition that must be satisfied is that the first element of its ordered pairs should not be paired with more than 1 value.

In simple words it can be said that the x-values should only occur once for a relation to be a function. In the given ordered pairs, -1 is occurring twice, hence this relation is not a function. 

Hence the set of ordered pairs is only a relation.
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Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

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s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

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Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

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2 years ago
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