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OleMash [197]
3 years ago
8

The ratio of the radii of two distinct spheres is 3:4. what is the ratio of their respective surface areas?

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Hey , here is the answer to ur question.....!
Given: Radii is in the ratio 3:4
To find : ratio of Surface area of the two distinct spheres
Solution: Surface area of a sphere =4* pi *r^2
=>(3/4)^2=9/16
Therefore , the ratio of the areas of teh two distinct spheres=9:16
Hope this helps u!!!!!!.........

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The percentage of measurements which are below the 88th percentile could be expressed as 88%.

  • The percentile of a distribution gives the percentage of the total distribution below a certain percentage value.

  • The 25th Percentile refers to the percentage of values in the distribution below 25%

  • Similary, 88th percentile gives the values which are below 88% of the values in the distribution.

Therefore, percentage of measurement below the 88th percentile is 88%

Learn more :brainly.com/question/8165716

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Answer:

\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3

Step-by-step explanation:

We want to evaluate the limit:

\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}

To do so, we can divide everything by <em>x</em>². So:

=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}

Now, we can apply direct substitution:

\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}

Any constant value over infinity tends towards 0. Therefore:

\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3

Hence:

\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3<em>x</em>²<em>, </em>and in the denominator it is <em>x</em>². So:

\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}

Simplify:

\displaystyle =\lim_{x\to\infty}3=3

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We acquire the same answer.

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Step-by-step explanation:

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