All Answers 358514 Answers

CPhill, stahp pls. You're being a sneaky ninja again *.*

Can you give us an example of what you are talking about please?

Let's look at this....you're using the correct function.....note that the height of the basket doesnt change.....and we're looking for the adjacent side....note that this isn't 15 anymore, because the player has moved back from the FT line......

So....

tan 12.5 = 10/x

Note that x must now be greater than 15 .....can you take it from here??

Whoops...I made a mistake...I forgot that we said that the player's eyes are 6 ft from the floor....disregard the previous baloney.......

Note now that the basket is only 4ft feet above the player's line of sight..

So we have...

tan12.5 = 4/x

OK...I checked this answer...it makes sense........see if you can tell me what we get now for "x".......

Or maybe cburns means trig in a right angled triangle.

Do you get the same answers whether you use θ or (90-θ) ?

Yes so long as you do the ratios properly you definitely get the same answer.

This is a real guessing game - is it not?

Actually reading it again, Kitty's interpretation is much more likely to be correct.

Co-interior angles on parallel lines are supplementary. (add to 180 degrees)

Thanks Kitty,

Here is a pretty good video on it.

Hi CPhill!

I think cburns means the same side interior angles on two parallel lines cut by a transversal line:)

Hey cburns,

It would be a lot easier for the answers to help you out with your questions if you made them more specific so we know what you're asking for:)

Same side interior angles are supplementery, so they equal 180 when added together.

Therefore, if the top is 75 degrees, the bottom would be 180 - 75 

x = 105 degrees.

You could use that picture as your avatar Chris - It's cool!

I sent you some other ideas for an avatar.  But you have to check your mail!

Synthetic division is an easier "shortcut" method for dividing polynomials, and only works to find linear factors in factoring polynomials. 

Check out this page for more info as well as examples:)  http://www.purplemath.com/modules/synthdiv.htm

How about you do some of it first?

Take every thing to one side with 0 on the other side

Then use the quadratic formula.

you don't have to worry to much about the  plus minus bit because you only want the big one so it is +.

Good job, Anonymous.......continue on !!

−8x − 12y = 36
-6x +  5y  = 41         We can use the elimination method to solve this

We'll eliminate "x"   by multiplying the top equation by -6 on both sides and by multiplying the bottom equation by 8 on both sides   .....this gives us

48x + 72y = -216

-48x + 40y = 328       Now....add the equations together

112y = 112                So...it's clear that y = 1

To find "x,"  substitute 1 for y in any of the equations....I'll use -6x + 5y = 41

-6x + 5(1) = 41

-6x + 5 = 41        subtract 5 ftom both sides

-6x = 36             divide by -6 on both sides

x = -6

So....x = -6 and y = 1......you should verify that these "work" in the other equations...I think you will find that they do......

$94.90 X .30 = $28.47

Elephants on the moon in polo shorts!

(It is my answer and the question is 'What answer would you give to the president?' so how can it be wrong)

Okay Chris,

How about 

Go to the insert tab -> Special characters -> theta is in the third last line.

Is that what you want?

41.6 / 52 = .80

To write as a percent, move the decimal two places to the right and add the "%" sign.....

Melody......I think they want to know how to type in "theta" in their question.......

Use brackets

6^(-3)

what are you talking about?

You draw the right angled triangle

You mark you angle.  You mark the 3 sides as opp,adj,hyp

you put you side lengths in the right places.

And then you use the ratio (sin , tan cos) that fits with the sides that you need to use.

This is one way to remember the ratios

--------------------

Some old hobos, 

Can't always hide

Their old age.

----------------------

Sin = o/h

Cos = a/h

Tan = o/a

--------------------

The same side interior of what ???

Are you lookming for this?

3.14 x 54?

If you are, the is 169.56

If you are looking for this 

pi x 54

the answer is 169.64

Did this help? 

Look at the driveway problem, Anonymous...it's similar.....

Yep, cosine...!!! Your set up is correct....

"Roots" would imply that

(x^3  + 125) / (x +5) = 0

Factoring the top as a sum of cubes, we get

(x + 5)(x^2 - 5x + 25)         So we have

(x + 5)(x^2 - 5x + 25) / (x + 5) = 0    Only the numerator can make this zero

So setting both factors to 0, we have

(x + 5 ) = 0      so x =-5, but we must reject this since it makes the denominator of the original function undefined.

The other two roots are non-real...using the on-site solver, we have

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{5}}\right)}{{\mathtt{2}}}}\\
{\mathtt{x}} = {\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}\right)}{{\mathtt{2}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}\left({\mathtt{\,-\,}}{\frac{{\mathtt{5}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4.330\: \!127\: \!018\: \!925}}{i}\right)\\
{\mathtt{x}} = {\frac{{\mathtt{5}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4.330\: \!127\: \!018\: \!925}}{i}\\
\end{array} \right\}$$

So...we have no real solutions to this "rational" function

my question would be, if the 15 degree angle is between the water level (the boat) and the anchor line, then one Would want to use sine, because one is measuring the distance from anchor to surface, opposite the angle.