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labwork [276]
3 years ago
14

Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

((3√3)/2) * (s^2)

Step-by-step explanation:

A hexagon can be split up into 6 equilateral triangles by drawing a line from a corner to the opposite corner.  The equilateral triangles would have a side length of (if the hexagon has a side length of s) s.  The area of an equilateral triangle is (√3)/4 * s^2.  Multiplying this by 6 gets us ((3√3)/2) * (s^2).

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Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)
ikadub [295]

<em>The right answer for:</em>

<em>cos(-170°) = _____</em>

<em>is:</em>

<em>-cos10°</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point (x,y) on the graph of y=cos(x) then the point (-x,y) also lies on the graph of the function. In other words, we can write:

cos(-170^{\circ})=cos(170^{\circ})

But:

170^{\circ}=180^{\circ}-10^{\circ}

So:

cos(170^{\circ})=cos(180^{\circ}-10^{\circ})

By property:

cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\  cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

4 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
maxonik [38]

The number in parenthesis after f is the x coordinate. Basically, it says which y coordinate is tied with an x value. In choice a, it says that when x is 0 y is 3, etc.

So, you can look at the graph to see which answer choice has a point from the graph. Choice a says (0,3), and that does not match. Choice b says (5,-1) and that does match. So the answer is B.

*(x,y)*

5 0
4 years ago
Read 2 more answers
Round to the nearest tenth. Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars.
My name is Ann [436]
He would have around 15 dollars 
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3 years ago
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The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. A 4-column tab
In-s [12.5K]

Answer: 100/400

<u>Step-by-step explanation:</u>

\begin{array}{l|c|c|c}&Liquid&Not\ Liquid&Total\\ Bar&200&100&300\\Not\ Bar&80&20&100\\Total&280&120&400\end{array}

\dfrac{Not\ Bar:Total}{Total:Total}\quad =\dfrac{100}{400}

4 0
3 years ago
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jeyben [28]
I think the largest time interval over which the actual price per watt of a solar panel was an increasing function of time is : 2004 to 2006

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hope this helps
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4 years ago
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