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3 years ago

6

If 5 persons can do 5 jobs in5 jobs in 5 days, then 50 persons can do 50 jobs in _______

1 answer:

Scilla [17]3 years ago

7 0

Answer:

50 days

Step-by-step explanation:

the values are proportional.

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$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

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as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

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4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

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4 years ago

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Answer:

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Step-by-step explanation:

$\frac{2}{5}$ = 40%

$\frac{1}{2}$ = 50%

Rent: $430 - 40% = $172

Food: $430 - 50% = $215

$215 + $172 = $387

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