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2 years ago

StartFraction 2 Over n EndFraction = two-thirds

Mathematics

1 answer:

Vitek1552 [10]2 years ago

4 0

Answer:

n = 3

Step-by-step explanation:

Let's consider the following proportion.

2/n = 2/3

To solve a proportion, we can use the rule that states that the product of the end-terms is equal to the products of the inner-terms. That is,

end-term × end-term = inner-term × inner-term

2 × 3 = 2 × n

6 = 2 × n

We can solve for n, dividing both terms by 2.

6/2 = 2 × n/2

n = 3

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A sphere of radius 2x m has an area of 152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere

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Step-by-step explanation:

Area:

$A =$ π $r^{2}$

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$152.4 =$ π $4x^{2}$ *Divide by π*

$48.510 = 4x^{2}$ *Divide by 4*

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Now replace x with 3.482 and solve for area.

$A = 342.9m^{2\\}$

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$V = \frac{4}{3}$ π $r^{3}$ *Insert variables*

$360.9 = \frac{4}{3}$ π $(2x)^{3}$ *Cube 2x*

$360.9 = \frac{4}{3}$ π $(8x^{3})$ *Multiply $\frac{3}{4}$ on both sides*

$270.675 =$ π $(8x^{3})$ *Divide by π*

$86.159 = 8x^{3}$ *Divide by 8*

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Now replace x with 2.208 and solve for volume.

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