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Phantasy [73]
2 years ago
8

In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?​

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being  produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.

They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.

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Using the washer method, the volume is given by the integral

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where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.

So the volume is

\displaystyle2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx=2\pi(4x-\tan x)\bigg|_0^{\pi/3}=\boxed{\dfrac{8\pi^2}3-2\pi\sqrt3}

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2 years ago
Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian
Elan Coil [88]
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
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by substituting by the values in equation (2) therefore,
x^{2} = 10^{2} - 8^{2} substitute this value in equation (1) then
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2 years ago
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