All Answers 358514 Answers

what is 15 % of 32 ?

$$\begin{array}{rclclcl}
1\% &of& 32 \quad = \dfrac{32}{100}&=&&&0.32\\\\
15\%&of& 32 &=&15&\times& 0.32\quad = \quad 4.8\\
\end{array}$$

Hie, Morgan Tud......!!!  M'Lady looketh none too pleased with thy bold reply......!!! She hath already condemned Sisyphus to boulder pushing.......for perpetuity.....

Chris has reminded me that L'Hopital's rule may also be used here.

This says differentiate the numerator and denominator separately, and form the ratio of the resulting two expressions, then take the limit of this as x tends to zero.

So, if you are familiar with L'Hopital's rule, this would be the better approach.

Anonymous: "Sorry 6,6,12,35,38,66,104."

This was very difficult, but I finally got it after so long!

( -104 + 66 + 35 + (6/6) ) * 12 * 38

If I could contribute a puzzle?

The numbers are 2 6 17 21 23 85 and the Magic Number is 815. :mrgreen:

i think the biggest elephant plus a crab makes a whale like for example a crab is 2 , an elephant is 58 and a whale is 60 so 

2 + 58 =60

so an elephant plus a crab makes a whale !

Your reply is good for linear simultaneous equations, Pokemonfan88, but the question asked about non-linear simultaneous equations.  These are often more difficult to deal with.  There aren't really any general rules, especially if they are very complicated, but sometimes rearranging one to find one unknown in terms of another and substituting into another equation will give an equation that can be solved.  Often one needs to resort to numerical solution methods though.

If you have a specific set of non-linear simultaneous equations in mind Anonymous, post them here and we'll see what we can do.

A calculus question from first principals - may be useful?

Yes that is correct - Alan manipulated my answer to get the simplified answer that you wanted. 

now we are to find 15% of 32 so well do it like this:

15% of 32

=15/100  x  32   (here as100% is the whole so 15% is 15percent of whole thats why we have 15upon 100and we have to multiply this to 30)

=3/5  x  8   (here we have cut 15 , 100 and 32 which has given us this, this can no more be cut thats why well straightly multiply it

=24/5  

=4.8 ANSWER (after deviding 24 by 8 has given us this answer )

Perhaps this just means find Sn, in which case multiply both sides by 350.

$${\mathtt{Sn}} = {\mathtt{350}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{30}}^\circ\right)} \Rightarrow {\mathtt{Sn}} = {\mathtt{303.108\: \!891\: \!324\: \!4}}$$

Yes. just type in the fractions and then press Enter (not the = sign!).  The calculator display shows the result as a decimal, but above the calculator it is shown in both fraction and decimal form.  See below:

15% of 32 would be 4.8.

To calculate the percentage of a number, you need to convert 15% into a decimal by dividing the number by 100, like so:

15 / 100 = 0.15

(Dividing a number by 100 is the same as moving its decimal place two places to the left, so something like 15.5 divided by 100 would be 0.155.)

Now we can multiply our decimal by the total amount, which is 32:

0.15 * 32 = 4.8

I hope this helped.

-pokemonfan58

that face looks funny!

according to my information math is not at all stupid but if u call math stupid it means that u think that Einstein was also stupid for he was such a great mathematician who was so good in maths , that maths which u are calling stupid!

$$a=4\quad b=6\quad c=5 \quad \mbox{ angle } \theta\mbox{ ? }$$

$$\begin{array}{l}
c^2=a^2+b^2-2ab*\cos{(\theta) } \\\\
\cos{(\theta)} = \dfrac{a^2+b^2-c^2}{2ab}\\\\
\cos{(\theta)} = \dfrac{4^2+6^2-5^2}{2*4*6}\\\\
\cos{(\theta)} = \dfrac{16+36-25}{48}\\\\
\cos{(\theta)} = \dfrac{27}{48}\\\\
\cos{(\theta)} = 0.5625\\\\
\textcolor[rgb]{1,0,0}{\theta=55.7711336722\ensuremath{^\circ}}
\end{array}$$

thank u very much CPhill !

$$\begin{array}{lcl}
\dfrac{18}{72}&\times&\dfrac{100}{100}\\ \\
=\dfrac{18}{72}&\times&100*\dfrac{1}{100}\\\\
=\dfrac{18}{72}&\times&100*\%\\\\
=\dfrac{1800}{72}&\times& \% \\ \\
=\dfrac{1800}{72}\%\\\\
=25\%
\end{array}\\$$

Divide 18 by 72:

$${\frac{{\mathtt{18}}}{{\mathtt{72}}}} = {\frac{{\mathtt{1}}}{{\mathtt{4}}}} = {\mathtt{0.25}}$$

0.25 is the same as 25%

I see I missed the party. . . this is inevitably what happens when you catnap;)

Constable Grammar, sir, while I do appreciate your rather artistic sentences,  I also appreciate all the hard work that many answerers here have put into their posts. While correct grammar is definitely an important aspect of well, life, on a busy math forum we can overlook this small element in the answers, can't we?

And to CPhill (Mr. Seephil) and others it may concern, I really do apologize if I have "shown out" with all my fanciful grammar. It was quite naturally done with no disrespect intended. Honestly, it is simply never a good idea to throw a cat among the pigeons.

..........delete..........

The polynomial degree of 4x^8+2x-13 is 8.

To find the polynomial degree of an expression with one variable, you must find the greatest exponent of that particular variable. In the case of "4x^8+2x-13", "4x^8" has the greatest exponent of 8. Therefore, the degree of the polynomial would be 8.

I hope I helped.

-pokemonfan58

You can have a look here too

CPhill and i do not usually double up on thumbs up.  But you are new and your answers are wonderful so we will give your points a good kick along. 

$$4x^{\textcolor[rgb]{1,0,0}{8}}+2x^{ \textcolor[rgb]{0,0,1}{1}}-13$$

the polynomial degree  is 8 (The biggest exponent)

Hi Strider,

$$\alpha = 47\ensuremath{^\circ}\quad b=7\quad c=3.59\\
\mbox{side a?} \quad \mbox{angle } \beta \mbox{ ? and angle }\gamma \mbox{ ?}$$

a:

$$\begin{array}{l}a^2=b^2+c^2-2bc*\cos{(47\ensuremath{^\circ})} \\
a^2=7^2+3.59^2-2*7*3.59*\cos{(47\ensuremath{^\circ})} \\
a^2=27.6108624233\\
\textcolor[rgb]{1,0,0}{a=5.25460392639}
\end{array}$$

$$\mathbf{\beta}:$$

$$\begin{array}{l}b^2=a^2+c^2-2ac*\cos{(\beta) } \\
\cos{(\beta)} = \dfrac{a^2+c^2-b^2}{2ac}\\
\cos{(\beta)} = -0.22532402766\\
\textcolor[rgb]{1,0,0}{\beta=103.021932880\ensuremath{^\circ}}
\end{array}$$

$$\mathbf{\gamma}:$$

$$\begin{array}{l}c^2=a^2+b^2-2ab*\cos{(\gamma) } \\
\cos{(\gamma)} = \dfrac{a^2+b^2-c^2}{2ab}\\
\cos{(\gamma)} = 0.86621674081\\
\textcolor[rgb]{1,0,0}{\gamma=29.9780671201\ensuremath{^\circ}}
\end{array}$$

$$\boxed{\alpha + \beta +\gamma =
47\ensuremath{^\circ}
+103.021932880\ensuremath{^\circ}
+29.9780671201\ensuremath{^\circ}
=180.000000000\ensuremath{^\circ}}$$