All categories

3 years ago

How to perform long division

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer: number your dividing by on the outside of the symbol then the number you are dividing under the symbol.

Step-by-step explanation:

_____

3/ 3612 3 goes into 3, 1 time

612

_1___

3/ 3612 3 goes into 6, 2 times

_12__

3/ 3612 3 goes into 12, 4 times

3612 divided by 3 is 124

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The domain of: x+3 under square root

Gennadij [26K]

Answer:

All real numbers except where x<-3

Step-by-step explanation:

Values of x that make negatives under even radicals are not part of the domain. Any value of x that is less than -3 would make a negative under the square root, so those are not included in the domain.

3 0

2 years ago

Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

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

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

2 years ago

Matthew changes $770 into rupees. He receives 40 000 rupees.

Yanka [14]

Answer:

About 51.94 rupees (rounded).

Step-by-step explanation:

40000 / 770

7 0

2 years ago

Solutions

Paraphin [41]

D. none of the above.

3 0

3 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Delvig [45]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

6 0

3 years ago