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Dmitriy789 [7]
3 years ago
8

Cindy goes to dinner with a friend. The total bill is $16.50. Cindy brought $20.00 with her. What is the closest to the maximum

amount of tip Cindy can leave the sever.
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

20.00 - 16.50 = ?

you would take 20.00 then subtract 16.50 from it

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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
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sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
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sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
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sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
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\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
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\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
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tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
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\textit{and now, let's rationalize the denominator}
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\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}

7 0
3 years ago
Solve this equations 3x+4x-8=6(x-3)+x
Irina-Kira [14]

Answer:

no solutions

Step-by-step explanation:

8 0
1 year ago
Can anyone help me with this?
Rus_ich [418]
15)
20/8 = x / 6
x = 20 * 6 / 8 
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16)
18/54 = (x+4)/75
1/3 = (x+4) / 75
3(x+4) = 75
3x + 12 = 75
3x = 63
x = 21

SF = 54/18
SF = 3

17)
complement angles sum = 90
90 /18 = 5
so
5 x 11 = 55
5 x 7 = 35

smaller angle = 35 degrees

18)
ratio 4:5:9
4+5+9 = 18
sum of interior angles of a triangle  = 180
180 / 18 = 10

largest angle = 10 x 9 = 90

answer
largest angle = 90 degrees

6 0
3 years ago
Can someone help me
FromTheMoon [43]
BC is 8.7 
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hope this helps
6 0
3 years ago
ANSWER QUICKLYYYY 30 POINTS!!
adoni [48]

Answer:

36 , 0, 79

Step-by-step explanation:

5 0
2 years ago
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