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Stolb23 [73]
3 years ago
12

Solve for x in the diagram below

Mathematics
1 answer:
mario62 [17]3 years ago
7 0
Answer: x° = 20

Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20

Check:
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅
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Step-by-step explanation:

Given:

\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}

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We know that the volume of a sphere is given by

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Taking the time derivative of V, we get

\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}

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\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})

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