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larisa [96]
3 years ago
8

The science club went on a two day field trip. The first day the members paid $50 for transportation plus $11 per ticket to the

planetarium. The second day they paid $85 for transportation plus $8 per ticket to the geology museum. Write an expression to represent the total cost for two days for n members of the club
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
The correct expression for this question would be: (50+85)+ n(11+8). That is assuming that it was 50$ transportation for everyone, not 50$ per person (and also 85$).
Hope I was able to help! If you need any further assistance, please let me know and I will help you!
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AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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