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Naddika [18.5K]
3 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]3 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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Angelina_Jolie [31]

Answer:

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3 years ago
3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution
tamaranim1 [39]

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )



5 0
3 years ago
A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;
nevsk [136]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------

\bf f(x)= 4x^2  \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h
8 0
3 years ago
Why is the grid in Example 1 a good way to<br> represent a percent?
Tems11 [23]

Answer:

percent means  <u>per hundred </u>

Between the 100 squares, 60 of them are shaded

so you do 60/100

it's kind of like correcting tests, you have 100 questions, you got 80 of them right so its going to be 80/100

when you calculate percentage, you do the fraction x 100

so it's 60/100 = 0.6 x100 = 60%

hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

5 0
3 years ago
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Whats 4.8 as a mixed number in simplest form?
julia-pushkina [17]

Answer:

4 4/5

Step-by-step explanation:

5 0
3 years ago
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