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3 years ago

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There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximatel

y 9.88×1018 liters of seawater. About how many kilograms of dissolved salt are in the South China Sea?

1 answer:

denpristay [2]3 years ago

7 0

3,319.0872 kg of dissolved salt

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4 years ago

1% defective parts. 100,00 parts made in total. The number of defects made should equal?

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3 years ago

What is 1/3 •1/3 in exponential notation

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3 years ago

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From trigonometry we know that:

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This can be rewritten in degrees as:

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Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

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3 years ago

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