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PtichkaEL [24]
3 years ago
6

Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which

amount represents a withdrawal of less than $ 200?
Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

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\bf csc(\theta)=-6\implies csc(\theta)=\cfrac{\stackrel{hypotenuse}{6}}{\stackrel{opposite}{-1}}\impliedby \textit{let's find the \underline{adjacent side}}
\\\\\\
\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}
\\\\\\
\pm\sqrt{6^2-(-1)^2}=a\implies \pm\sqrt{35}=a\implies \stackrel{IV~quadrant}{+\sqrt{35}=a}

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\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
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% tangent
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\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\\\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
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% secant
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therefore, let's just plug that on the remaining ones,

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\\\\\\
% tangent
tan(\theta)=\cfrac{-1}{\sqrt{35}}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{\sqrt{35}}{1}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}

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\\\\\\
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