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3 years ago

I need help with number 4

Mathematics

2 answers:

solong [7]3 years ago

8 0

Rename 9 3/8if you know

tatuchka [14]3 years ago

5 0

I u have the app better on your phone then go to shivani.kinare and like all the tips and comment and I will answer any question u want. I can also tutor u for free.

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

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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3 years ago

Find the 52nd term for the following sequence. 16,6,-4,-14....

nikklg [1K]

I think it’s D, sorry if I’m wrong.

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3 years ago

How to simplify -3 (4×-5y-5×)

VMariaS [17]

Distribute -3 to the rest of the numbers by multiplying them together. That’s all you need to do you don’t have to solve

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4 years ago

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nlexa [21]

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19° I'm not completely sure but I think this is it

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3 years ago

Ms.Rosenbaum buys 5 crates of apples at the market .Each crate cost $12.50 .She also buys one crate of pears for $18.75 .What is

Inga [223]

Ok so she wants but 5 crates of apples. And each crate cost 12.50 so you would multi 12.50 times 5, which is 62.05. She so wants to buy one crate of pears. One crate of pairs is 18.75. Since she is only buying one you don't need to multiply it but anything. But now you have to figure out the cost of the apples and pears together. So just add 62.05 and 18.75 together which is 80.80

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3 years ago