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Naddika [18.5K]
2 years ago
12

The Eiffel Tower is 324 m tall. If a tourist is looking at it from 100 m away from the base,

Mathematics
1 answer:
romanna [79]2 years ago
4 0

Answer:

80,94º

Step-by-step explanation:

What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).

So I calculated the tangent of the angle of the tourist.

The formula is tan=Oposite side/adjacent

tan=\frac{opposite side}{adjacent}

tan=\frac{324}{100} =3.24

And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).

I hope it helped.

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The Candy Shack sells 138 pounds of candy on Tuesday. They sold 71.76 pounds of jelly beans. What percent of the candy sold was
Pepsi [2]

<u>Answer:</u>

<h2>52% were jelly beans!</h2>

<u>Explanation</u><u>:</u>

<em>Cross </em><em>multiply </em><em>the </em><em>following:</em>

<em>\frac{x}{100}  =  \frac{71.76}{138}</em>

<em>x </em><em>times </em><em>1</em><em>3</em><em>8</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>8</em><em>x</em>

<em>100 </em><em>times </em><em>7</em><em>1</em><em>.</em><em>7</em><em>6</em><em> </em><em>=</em><em> </em><em>7</em><em>,</em><em>1</em><em>7</em><em>6</em>

<em>Divide </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>3</em><em>8</em><em>:</em>

<em>\frac{138x}{138}  =  \frac{7176}{138}</em>

<h3><em>x </em><em>=</em><em> </em><em>5</em><em>2</em><em>%</em></h3>
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3 years ago
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B. Because 20 is greter than 18.

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A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is it’s new position in relation to
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Answer:

A. -415m

Step-by-step explanation:

-300 meters is the starting point.

Then, the submarine goes 115m further below the surface, which can be represented as -115.

Add -300 and -115 and you get -415m.

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G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d
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By definition of covariance,


\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]


\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]


We have


\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]

=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd


\mathbb E[aX-b]=a\mathbb E[X]-b


\mathbb E[cY-d]=c\mathbb E[Y]-d


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Putting everything together, we find the covariance reduces to


\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)


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If the original price of $100 is decreased by 10% and subsequently
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No

Step-by-step explanation:

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