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Black_prince [1.1K]

3 years ago

12

How do you find the answer

1 answer:

liubo4ka [24]3 years ago

4 0

It is E X= 22

J LINE SUPPLEMENTARY ANGLE so
the angle is = 180 - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )

the other angle in the triangle = 50 ( alt interior angles line l parallel m
then we took the triangle sum = 180

<span>196 -5x </span> + 2x +50 = 180
so x = 22

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Vlad1618 [11]

Answer:

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Rate of water pumped into the tank r (t) = 30 (1 - $e^{-0.16 t}$ )

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The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{pump}$ = $\int\limits^a_b {r(t)} \, dt$

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

$V_{pump}$ = $\int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt$

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$V_{pump}$ = $30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0} )$

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$V_{total} = V_{i} + V_{pump}$

$V_{total} = 800 + 420$

$V_{total} = 1220 \ gallon$

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