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dmitriy555 [2]
3 years ago
7

Please help and give an explanation on how to find the value of x

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

x = 30

2x =60

Step-by-step explanation:

the angle is a right angle- so that means it’s a 90 degree angle

so let’s set up an equation..

We get 90 degrees when we add 2x Plus x

So 2x + x = 90

then, 3x = 90

x= 30

you Can check your Answer by:

Do 2 times 30 = 60

and then 60+ 30

you will Get 90

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Step-by-step explanation:

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A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so
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Let A(t) = amount of salt (in pounds) in the tank at time t (in minutes). Then A(0) = 11.

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\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95

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\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}

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\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}

\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)

\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}

\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}

\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}

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pounds of salt.

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