4 years ago

10x^2+50 factoring by taking out the greatest common factor

Mathematics

1 answer:

inessss [21]4 years ago

8 0

Answer:

The greatest common factor is 10

Step-by-step explanation:

Once you factor it out, you have :

10(x^2+5)

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The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use

Dvinal [7]

Answer: $2143.6\ in.^3$

Step-by-step explanation:

Given: The diameter of a large lawn ornament in the shape of a sphere = 16 inches.

Then, the radius of ornament = $\frac{16}{2}=8$ inches.

We know that the volume of a sphere is given by :-

$\text{Volume}=\frac{4}{3}\pi r^3$ , where r is the radius of a sphere.

Now, the volume of the ornament is given by :-

$\text{Volume}=\frac{4}{3}(3.14) (8)^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times512=2143.57333333\approx2143.6\ in,^3$

Hence, the approximate volume of the ornament $=2143.6\ in.^3$

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Step-by-step explanation:

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