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19)

              x^2   +  6x  -  9

x +  6   [ x^3 + 12x^2  + 27x - 45 ]

              x^3 + 6x^2

             _____________________

                       6x^2  + 27x  - 45

                       6x^2  + 36x

                     _________________

                                 -9x  - 45

                                 -9x -  54

                              __________

                                            9

20 )

              5b^2  - 3b - 4

b + 6  [  5b^3  + 27b^2  -22b  - 22 ]

             5b^3  + 30b^2

             _____________________

                       -3b^2  - 22b

                       -3b^2 -  18b

                   ______________

                                 -4b  - 22

                                 -4b  - 24

                              __________

                                            2

Ahhhh wait CHphill I'm doing an AOPs online course and I remember getting this question right in fact you are right the answer is indeed 100/963

Great work as usalll!

Here to help

:D

Here, we need to find the circumference.

The formula is 3.14 * diameter for Circumference, and the diameter here is 2x the radius = 20 in.

Therefore, the Circumference = 3.14 * 20 in. = 62.8 in.

Now, every time there is a revolution of the tire, the bicycle travels the entire distance of the circumference. I want you to think: Why is that? and reply :D

First solve it for how many inches, then convert to feet. I trust that you can do it wth this information :D

You're Welcome (:

Here's my best attempt

(u +2v) * w  =  uw  + 2vw   =  4 + 2(5)  =  14

(w - u) * v  =   wv  - uv  =   5 - 3   =  2

(3v - 2w) * u   =     3vu - 2uw  =  3(3)  - 2(4) =  9 - 8   =  1

24)

We  know an angle, the hypotenuse  and we are trying to find the adjacent side

The cosine seems the way to go....

cos 70°  =  x / 10           multiply both sides by 10

10 * cos 70°  =  x  ≈ 3.42

Try the method of substitution. You can put every variable in terms of another variable. For example, you could write u as 3/v, and w as 5/v. Where does that get you?

Well, of course they're homework problems.  Why else would anybody post a question on here?  I didn't get very high in maths so I can't offer help with the calculus etc. questions, but I can answer the easier ones. 

I remember when I was taking maths courses, and ocassionally there'd be something I didn't understand.  It was not any help for someone to pummel me with axioms and theorems and rules that I never heard of.  The best help for me was for somebody to walk me through it.  I think it's called teaching by example, but don't quote me on that. 

When I work a problem for someone here, I don't just throw the bare solution down, I explain the steps, why I did what I did.  This thread contains an example https://web2.0calc.com/questions/help-asap-please_36 my post is the one that starts with "First we'll solve for AC."  In that same thread I asked for opinions about giving that much explanation, and received a very nice answer from EP. 

It takes longer to do that, and almost always somebody else posts an answer while I'm still working on mine.  That's okay.  It gives the confused kid two – or more – viewpoints of how to solve the problem. 

A certain percentage of kids are always going to cheat on their homework, but it'll catch up to them when they do their finals.  Just because some kids cheat on their homework, that's no reason for me to stop helping the majority of them who need help and honestly want to learn. 

Thank you for putting plenty of white space in your post. 

_.

23)

We have a 30-60-90 right triangle

The hypotenuse  "x"  is  twice the measure  of  the side opposite the 30°  angle

So....

x = 10

Yup I get. Thanks for this post, it really made cheater realize their loss of learning. They are also losing money by only looking for answers, hope they can learn.

Yes! "Quarantine" the variable.

Good point.

Yeah.. I just realized I was missing some triangles!

It means to bring the variable on one side and to the constants on the other side essentially.

I will admit I have done this a few times, but i am mostly looking for the steps, I really don't care if I get 5/7 or a 3/7, I only want to learn the content, and sometimes teh message boards dont help. I think thats why many kids come here including myself sometimes come here to ask for help, while others only want answers. I understand your point, maybe people could ask for starting points instead of direct answers? 

V_cylinder  =  pi * r^2 * h

441 pi  = pi * r^2  * 9          divide both sides  by 9 pi

441/9  = r^2                         take the positive root

21/3  = r  = 7

So  the diameter  =  2 * r  =   2 * 7    = 14 in

Sidenote here for the question-asker: This method is called "isolating the variable", and it will pop up for the remainder of your schoolwork, all the way up to middle school and beyond!