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3 years ago

Solve s=πr^2+πrl for l

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

Start with

$S = \pi r^2 + \pi r l$

Subtract $\pi r^2$ from both sides:

$S - \pi r^2=\pi r l$

Divide both sides by $\pi r$

$\dfrac{S-\pi r^2}{\pi r}=l$

And thus we solved the expression for l:

$l=\dfrac{S-\pi r^2}{\pi r}$

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Answer:

Restating the question clearly:

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Answer:

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Step-by-step explanation:

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3 years ago

a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long doe

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Answer:

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3 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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Grade 3: 360 dollars
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-----------------------------------------------------------------

If Grade 3 has 360 dollars, but has 84 more than Grade 4 then subtract them like

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3 years ago