All Answers 359147 Answers

You mean piece

There will be an end to pi some day and it will be amazing

A field is an algebraic structure with certain properties.

It is a set of mathematical objects on which are defined two binary operations, namely addition and multiplication. 

The operations are commutative (e.g. x*y = y*x) and associative (e.g. (x+y)+z = x+(y+z)) and have identity elements (e.g. 0 for addition and 1 for multiplication). 

They have inverse elements (e.g. x and -x for addition; x and 1/x for multiplication). Multiplication is distributive over addition (i.e. x*(y+z) = x*y + x*z).

A finite field is a set with these properties, but it only has a finite number of elements.

Hope this helps!

Thank you, that was a good peice of trivia  

Maybe the question is 

\((sin75)^{-1} = \dfrac{1}{sin75}\)

I'll assume that is 75 degrees

(sin75)^-1    =  1.0352761804101562

There is a log button on the calculator at the bottom.

\(numerator \over denominator\)

Put your numerator, use the division button (The line with a dot above and below it), then the denominator.

Oh sorry it was a typo.

There is supposed to be a -1 

ok thanks Alan

Now I will look at a value of x between  -1 and 1      

\(f(x) = \sqrt{\frac{x+1}{x-1}}\qquad g(x) =\frac{ \sqrt{x+1} }{ \sqrt{x-1}}\\ if\;\;x=0\\ f(0) = \sqrt{\frac{1}{-1}}\\ f(0) = \sqrt{-1}\\ f(0) =i \\~\\ g(0) =\frac{ \sqrt{1} }{ \sqrt{-1}}\\ g(0) =\frac{ 1}{i}\\ =\frac{ i}{-1}\\ =-i\\ so\\ f(0)\ne g(0)\)

There is no inverse sin of 75     -1 <= sin <=+1

,

enter    75     then  sin   then  -   then 1   then =

Use the 2nd button.  asin is the same as sin^-1

.

TAN = Opposite/adjacent =  24/33=.72727   

atan(72727) = 36 degrees        This is an ACUTE angle  ( < 90 degrees)

Oops!  Yes you can.

That question must have been written some years ago !  Current population of the Earth is OVER  SEVEN BILLION !

STOP already !     LOL

Dividing ANYTHING by zero is UNDEFINED.   Not ALLOWED.  An ERROR.

(a) 4.791 * 10^-6 → 1*10^-6 → 10^-6

(b) 6.239 * 10¹⁰ → 10*10¹⁰ → 10¹¹

(c) 1.96237 * 10³ → 1*10³ → 10³

(d) 9.2 * 10^-2 → 10*10^-2 → 10^-1

.01/0.000000000000000001 = 10000000000000000

This question is also answered here :

Alan, I have put a question on the original post.  Could you take a look please :)

Alan I have a query??

\(f(x) = \sqrt{\frac{x+1}{x-1}}\qquad g(x) =\frac{ \sqrt{x+1} }{ \sqrt{x-1}}\\ if\;\;x=-5\\ f(-5) = \sqrt{\frac{-4}{-6}}\\ f(-5) = \sqrt{\frac{4}{6}}\\ f(-5) =\frac{2}{\sqrt{6}}\qquad \text{Definitely real}\\~\\ g(-5) =\frac{ \sqrt{-4} }{ \sqrt{-6}}\\ g(-5) =\frac{ 2i }{ i\sqrt{6}}\\ \text{Can't I cancel out the i's and have }\frac{2}{\sqrt{6}}???\)

How tall is a bridge if a 6-foot-tall person standing 100 feet away

can see the top of the bridge at an angle of 20 degrees to the horizon?

\(Let\ x = \text{ height of the bridge}\)

\(\begin{array}{|rcll|} \hline \tan(20^{\circ}) &=& \frac{x-6 }{100 } \\ 100\cdot \tan(20^{\circ}) &=& x-6 \\ 6 + 100\cdot \tan(20^{\circ}) &=& x \\ x &=& 6 + 100\cdot \tan(20^{\circ}) \\ x &=& 6 + 100\cdot 0.36397023427 \\ x &=& 6 + 36.3970234266 \\ \mathbf{x} & \mathbf{=} & \mathbf{42.3970234266\ \text{feet}} \\ \hline \end{array} \)

0.4^(1/100) =.9909 x 100 =99.09% per year.

This calc says 'infinity' when it really means 'too big to display' - that is just what this calc does :)