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Dmitriy789 [7]
3 years ago
14

Which of the following values are in the range of the function graphed below?

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

B would be the only answer that is within the domain of this function.

Step-by-step explanation:

Range refers to the y values of the graph. This graph has the range of (∞,2 ], [ -2,∞). Therefore, out of these 3 options, B is the only answer within that range.

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100% - 20% = 80%

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Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

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Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
What Force would be needed to extend a spring with a spring constant k=7 N/m that extends<br>0.3m?​
vladimir2022 [97]

Answer:

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Step-by-step explanation:

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<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>

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