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Lubov Fominskaja [6]
3 years ago
14

Select the figure obtained when rotating the figure about an axis along its largest side, and find the exact surface area of the

resulting figure. A rectangle with length 19 and width 17. The figure obtained is a

Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

Figure obtained - Cylinder

Surface area of the cylinder is 1224π square units.

Step-by-step explanation:

When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.

Surface area of the cylinder = 2πr(h + r)

By substituting r = 17 units and h = 19 units in the given formula,

Surface area = 2π(17)(17 + 19)

                     = (34)(36)π

                     = 1224π

Therefore, surface area of the cylinder is 1224π square units.

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1 1/2 = 1 2/4 = 6/4

3/4 = 3/4

3/4*6/4 = 18/16

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What two rational expressions sum to 3x+4/x^2-6x+5?
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Answer:

\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}

Step-by-step explanation:

The given rational expression is:

\frac{3x+4}{x^{2}-6x+5} = \frac{3x+4}{(x-1)(x-5)}

We can use concept of Partial Fractions to solve this problem. Let,

\frac{3x+4}{(x-1)(x-5)}=\frac{A}{x-1} +\frac{B}{x-5}

Multiplying both sides by (x - 1)(x - 5), we get:

3x+4=A(x-5)+B(x-1)

Substituting x = 5, we get:

3(5)+4=A(5-5)+B(5-1)\\\\ 15+4=0+4B\\\\ 19=4B\\\\ B=\frac{19}{4}

Substituting x = 1, we get:

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Substituting the value of A and B, back in the original equation, we get:

\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}

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