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Norma-Jean [14]
3 years ago
15

9: Part A The diameter of a circle is 63 centimeters. ​Find its circumference. ​Use π=3.14. ​ A 31.5 centimeters B 98.91 centime

ters C 197.82 centimeters D 3,115.67 centimeters ​ Part B Find the area of the circle. ( use π=3.14 ) ​ Round your answer to the nearest hundredth. Answer: square centimeters. ​

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0
Part A:
The circumference of the circle is 197.92.

Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.

Part B:
The area is 3117.25 square cm.

Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².
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Answer for this question is $25
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Determine the area of the given region under the curve <br> (1/x^4) [1,2]
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Answer:

\displaystyle \frac{7}{24}

General Formulas and Concepts:

<u>Algebra I</u>

  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]:                                                                    \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                          \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]<u />

<u />

<u>Step 2: Find Area</u>

  1. [Integral] Set up area:                                                                                    \displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx
  2. [Integral] Rewrite:                                                                                            \displaystyle \int\limits^2_1 {x^{-4}} \, dx
  3. [Integral] Reverse Power Rule:                                                                      \displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1
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Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

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2 years ago
During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light
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If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

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First let us know, at what intervals they all together blink.

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3 years ago
PLz i need help will mark brianly
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x = 7/15

and y = -2(7/15) + 3 =  31/15  = 2 1/15
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3 years ago
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