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4 years ago

15

What is the value of x

1 answer:

Misha Larkins [42]4 years ago

3 0

ANSWER:

x = 55°

The value of 'x' is equivalent to 55°.

STEP-BY-STEP EXPLANATION:

The rhombus in the rectangle is a regular rhombus. It has two pairs of parralell sides.

Therefore, we can use co-interior angles on parallel lines to solve this problem. Co-interior angles are two angles on parallel lines which form a 'C' shape and add up to 180°.

THEREFORE:

( 2x + 20 )° + ( 50 )° = 180°

2x = 180 - 20 - 50

2x = 110

x = 110 / 2

x = 55°

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Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at

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So the net flow rate of salt, given by $x(t)$ in grams, is governed by the differential equation,

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which is linear. Move the $x$ term to the right side, then multiply both sides by $e^{3t/10}$ :

$e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}$

$\implies\left(e^{3t/10}x\right)'=15e^{3t/10}$

Integrate both sides, then solve for $x$ :

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Since the tank starts with 5 g of salt at time $t=0$ , we have

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The time it takes for the tank to hold 20 g of salt is $t$ such that

$20=50-45e^{-3t/10}\implies t=\dfrac{20}3\ln\dfrac32\approx2.7031\,\mathrm{min}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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