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It is not arctan=(1/12) that doesn't make sense.

It is arctan(1/12) = the angle that you want.

It is either 

tan(angle)=ratio

ot

arctan(raio)=angle

DRAW A PICTURE OF THE TRIANGLE FIRST - this will help you understand.

Well, yes it is. Just another way of writing it.

You can multiply inside of the radical, so (√6)*(√3) = √18

You can simplify that into √9*2 which equals    3√2

"my class is in between the size 500-600"

This can mean very different things depending on where in the world or in a country that you study in.

It means nothing to me.

Maybe someone else will know what you are talking about.

Just type it straight in like this!

You can use the buttons on the calc or you can just type it in from your keyboard.

the calc is pretty snazzy like that!

e^(-1.5)=

$${{\mathtt{e}}}^{\left(-{\mathtt{1.5}}\right)} = {\mathtt{0.223\: \!130\: \!160\: \!148\: \!429\: \!8}}$$

Use this method called FOIL.

Multiply the First numbers, then multiply to outer numbers, then the inner numbers, then the last numbers.

Then combine the ones that are common.

For Example.

(2x+6)(x+1) =

2x(squared)  + 2x +6x + 6

The final answer being

2x(squared) + 8x + 6

10^(10^100)

This number is so large, that it can't be physically written out.......if we made each zero the size of your garden-variety atom, there wouldn't be enough room on the Earth's surface to write it out......and we wouldn't live long enough to do so, anyway....

Add 12 to both sides. -5x = -30

Divide both sides by -5

x = 6

You have the correct set up....just make sure your calculator is in degree mode......your answer will reflect some angle......

2.528 X 10⁶

Remember, in scientific notation, we move the decimal one place to the right of the first non-zero digit. Then we count how many places we move it. Moving it to the left results in a positive exponent on "10" equal to the number of places we moved it. Moving it to the right results in a negative exponent on "10" equal to the places we moved it.

Im sorry. nvm guys. i got it.

1st setup.  You're looking for the Hyp.  Cos is Adj/Hyp

Your tan setup is upside down.  Tan is Opp/Adj.  You are given the Adj. You would use tan when given either the Opp or Adj, and want to find the other.

E=mC^2      E is energy, m is mass, C is speed of light.  As energy increases, mass decreases proportionally.

E/m=C^2

so it would be sin33=x/12

which gives it 6.5 ?

You add all the numbers given to you and divide the answer by the amount of numbers given. 

Example: 2,6,8,10 

Step 1: 2+6+8+10= 26 

Step 2: 26/4= 6.5 <-- Answer 

Set up is almost correct, but cos=adj/hyp.  your setup will give you distance of the bottom of the ladder from the wall.  Sin is Opp/Hyp, ergo height of the top of the ladder on the wall.

Way 1: Subtract down slowly from what you have ($50 in this case)

$50.00 - $17.94 = $32.06

$32.06 - $13.41 = $18.65

$18.65 - $6.55 = $12.10

Way 2: Add your total together, and subtract it from what you have ($50 in this case)

$6.55 + $13.41 + $17.94 = $37.90

$50.00 - $37.90 = $12.10

:)

42

Hello Itoen,

You can use the Pythagorean Theorem  $${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{b}}}^{{\mathtt{2}}} = {{\mathtt{c}}}^{{\mathtt{2}}}$$ to solve for the diagonal of a rectangle:)

A diagonal divides the rectangle into 2 congruent right triangles.

The sides 5 and 12 would be a and b, and c would be the longer side (the diagonal)

So  $${{\mathtt{5}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{12}}}^{{\mathtt{2}}} = {{\mathtt{c}}}^{{\mathtt{2}}}$$

Simplify.

169 = c²

c = 13

50*6/10-6+32

To make sense of this problem, you would need to use the Order of Operations: Parentheses first, then Exponents, then Multiplication/Division, then Addition/Subtraction.

Provided there are no parentheses in this problem, multiplication and division would be first.

So: 50 * 6 / 10 = 30

Then addition/subtraction:

 30 - 6 + 32

Final answer: 56 

Your "set-up" is almost correct.....

But what does the tangent involve??   opposite and adjacent

And what are we looking for?? the hypoteneuse ....the length of the wire

What do we know??  an angle and the opposite side

And what function relates the opposite side and the hypoteneuse??

See if you can take it from here...

(I find it's helpful to draw a picture...also.....make sure you know your basic identities!!)

Is the perpendicular tangent to a line -1/m? if so why is it also the normal tangent? This has me confused, or im ilinformed.

you mentioned the chain rule a few times, is that, product rule states f'(x) = g'(x)*h(x) + g(x) * h'(x) the same as uv' + vu'. Looks like it. Then what is To find y '', we just extend the product rule over one more function, i.e. 
y' = fgh 
y'' = f' gh + fg' h + fgh' , and why is it applied to the second derrivative? 

Thanks

Good job, Anonymous....we could also express the answer as -15/8 if we wanted it in a "fractional" form....

Answer is 60 :)