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2 years ago

Helpppppppppp.......

Mathematics

2 answers:

ruslelena [56]2 years ago

5 0

Answer:

36 centimeters in the poster

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

3 = 1 ⇒ x - centimeters in the poster

x 12

2. Now let us cross multiply, and solve through simple algebra for x:

3 * 12 = x,

x = 36 centimeters in the poster

Andrew [12]2 years ago

4 0

Answer:

36cm

Step-by-step explanation:

The scale is 3 to 1, so the poster size is 3 times larger than the actual thing.

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Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

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If $f(x)=x^2,$ then

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Apply substitution

$x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du$

Then

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du$

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