3 years ago

1. Select three ratios that are equivalent to 7:3.

Mathematics

2 answers:

sesenic [268]3 years ago

7 0

14.6 is equivalent to 7.3

natka813 [3]3 years ago

3 0

Answer: 14:6, 9 and 28:12

Hope this helps!

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$a)\: \frac{3}{2} \pi$

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Step-by-step explanation:

$y=3\sqrt x,\:\:y=3,\:\:x=0$

a) about the line y = 3

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So,

$V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi$

b) about the line x = 5

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So,

$V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi$

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4 years ago