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sesenic [268]
2 years ago
11

Triangle ABC is similar to triangle XYZ. fine side a

Mathematics
1 answer:
aleksley [76]2 years ago
4 0
<h3>Answer:  a = 15</h3>

Explanation:

The jump from 13 to 39 is "times 3" when comparing the diagonal segments. So the jump from 5 to 'a' must also be "times 3" to keep the sides in the same proportion. Therefore, a = 3*5 = 15.

Or we could solve it like so

13/39 = 5/a

13a = 39*5 ... cross multiplying

13a = 195

a = 195/13 .... dividing both sides by 13

a = 15

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Since \rho=\dfrac mV (density = mass/volume), we can get the mass/weight of the liquid by integrating the density \rho(x,y,z) over the interior of the tank. This is done with the integral

\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx

which is more readily computed in cylindrical coordinates as

\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}

7 0
3 years ago
A cricket weighs 7/6 gram. A grasshopper weighs 0.76 gram. Which insect weighs more?
Anit [1.1K]
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3 years ago
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Step-by-step explanation:

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8 0
3 years ago
What is 1/4-1/6 equals to
klemol [59]

Answer:

3/16

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Anybody can answer this for me ?
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What are you supposed to be doing

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