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ladessa [460]
3 years ago
6

20 pts and brainiest if correct. Please and Thank You

Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0

Answer:

1. 24          2. 21:15          3. 36:21

Step-by-step explanation:

18:27 is 2:3 and 24 is 16/2*3

7:5 is also 21:15

36:21 fully simplified is 12:7 not 9:7

Hatshy [7]3 years ago
4 0

Answer:

1:24 2: 21:15 3: 36:21

Step-by-step explanation:

  1. Simplify the ratio, then find the equivalent one.
  2. find the multiple that matches both.
  3. Find the one that is odd

Hope this helps!!!

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Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis
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Answer: V = \frac{64}{3}\pi

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = \pi. y^{2}.Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = \int\limits^a_b {\pi. y^{2} } \, dx

Then, for the region generated by  y = - x + 4:

V = \int\limits^4_0 {\pi.(-x+4)^{2} } \, dx

V = \pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx

V = \pi.(\frac{x^{3}}{3}-4x^{2}+16x )

V = \pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )

V = \frac{64}{3}.\pi

The volume of the revolved region is V = \frac{64}{3}.\pi

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