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Svet_ta [14]
3 years ago
8

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters.

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

A=81\pi\ m^{2}

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

C=2\pi r

we have

C=18\pi\ m

substitute and solve for r

18\pi=2\pi r

simplify

18=2 r

r=9\ m

Step 2

Find the area of the circular cross section

The area of the circle is equal to

A=\pi r^{2}

we have

r=9\ m

substitute

A=\pi (9)^{2}

A=81\pi\ m^{2}

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siniylev [52]

The vertical asympototes of f(x) are  at x = -6 and x = 6

Step-by-step explanation:

To find the vertical asymptote(s) of a rational function,

  • Equate the denominator by 0
  • Solve it for x
  • If x = a, then the vertical asymptote is at x = a

∵ f(x)=\frac{4x^{2}+3x+6}{x^{2}-36}

- Equate the denominator x² - 36 by 0

∵ x² - 36 = 0

- Add 36 to both sides

∴ x² = 36

- Take √ for both sides

∴ x = ± 6

∴ There are vertical asymptotes at x = -6 and x = 6

The vertical asympototes of f(x) are  at x = -6 and x = 6

Learn more:

You can learn more about the asymptotes in brainly.com/question/6459599

#LearnwithBrainly

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3 years ago
Of all the species in the world, 4 out of every 5 are insects what percentage of species are insects
Fiesta28 [93]

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Step-by-step explanation:

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Answer:

29 \\

Solution:

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