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Write the resultant of the two vectors as an ordered pair.
(1,6) and (3,3)
(4, 3)
(5, 6)
(3, 4)
(6, 5)
 one year ago
 one year ago
Write the resultant of the two vectors as an ordered pair. (1,6) and (3,3) (4, 3) (5, 6) (3, 4) (6, 5)
 one year ago
 one year ago

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johnweldon1993Best ResponseYou've already chosen the best response.0
i believe...the resultant would just be the sum of these 2 so add your x's...and then your y's 1 + 3 and 3 + 6 4 and 3..that IS an option so i'm gonna go with that...anyone correct me if im wrong
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
Thanks. Do you know this one? . Miguel is driving his motorboat across a river. The speed of the boat in still water is 11 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
haha good think i know some basic physics.... well lets think....what does that shape look like? a right triangle doesn't it? and we have 2 sides...and want the hypotenuse.....hmm...sounds like the pythagorean theorem right? A² + B² = C² where C² is the hypotenuse... we want that length right? so C = √A² + B² we have A and B...so plug those in...square them...add them...and then take the square root of that..what do you get?
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
What is C and A and B?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
C is the length of the hypotenuse of the right triangle.... A is any other one of the sides B is the remaining side
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
can you just give me numbers
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
okay...well the hypotenuse is the long side...we dont know that...that's why I've rearranged that equation for C A can be 11 B can be 2 so plug those in
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
So, it would be 'C= sqrt 11^2 + 2^2' ?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
correct ...so evaluate farther
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
11² = 121 right? 2² = 4 right? 121 + 4 = 125 sqrt of 125?
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
did I do the other thing wrong? ._.
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
sorry for the delay........and yes it is 11.18.....so round it to 11.2 now....we want what direction the boat is traveling in....meaning what angle is this line going at? we have all 3 sides....so...we can use any of the trig functions....but remember...since we DONT know the angle...we want to use the inverse of whatever trig function you use
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
okay, what do I do next?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
so you want the direction...remember what we did in that last problem with the inverse trig function? lets do it again...we have all the sides so we can choose ANY trig function...lets use tan here tan is opposite/adjacent right? so our opposite side of the angle will be 2 ...and the adjacent would be 11...so we do 2/11.....then the inverse tan of that answer
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
wait..what? You mean 11.2?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
no remember....tan is opposite over adjacent.... our opposite is 2 and adjacent is 11 so no it is 2/11
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
so it would look like this tan(x) 2/11 tan^1 2/11 = x
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
and since your calculator hasn't been working correctly with the inverse trig functions....the result would be 10.3 degrees
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
tan (x) 2/11? Where's the x? I can at least try to find it
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
no that was for context......if you ever see tan...it will ALWAYS be followed with an x...as well as sin and cos will be the same it would be tan^1 2/11 the "x" is what the answer will come out to be
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
yeah, I keep getting 0. :/ I put in "tan 2/11" and I tried what you did.
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
okay....do 2/11 first....after you get that answer...do the "shift" "tan" of that answer.....or whatever it was you had to do before to get the answer
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
When I round up the number I got
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
when I don't round up, I get 10.203
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
woh....how are you rounding? 10.203 rounds up to 11.3??? but anyways....2/11 = .1818181818 right? \[\tan^{1} .1818181818\] = 10.30484647
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
And when i add the 3rd number from the answer I got, I get 10.259
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
how do you do the second part?
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
how do I do the second part on my calculator?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
that's what I'm not sure of...i would call back @Hope_nicole for that....she knew how to work with your calculator. but with mine that's all I do...wish i could give you a good perspective
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
well,I need the rest. :( I'm almost done. Can you at least try to help? maybe @jim_thompson5910 can help :D Maybe..
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
lol yeah @jim_thompson5910 is very intelligent :)...hopefully he can give a fresh perspective
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
so are you:D @johnweldon1993 I just need the rest. :(
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
thank you :) ...so wait...what exactly are you still looking for right now? the direction right? in this case ..the angle?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
ahh.....see like i said for my calulator...i just type in \[\tan^{1} 2/11\] and pop comes the 10.30484647 just wish i could explain your calculator
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
it's on my computer. it's a graphing calculator.
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
and hang on ......try atan(2/11) put the parenthesis around 2/11
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
and i'm sure as you know...atan means arc tan...also known as \[\tan^{1}\]
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
and your in degree mode?
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
how do I put it in degree mode?
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
hmm you said at the top of your calculator...you had a "mode" button right? click that....and see if it says anything about radians and degrees
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
angle mode. It says 1. deg 2. rad 3 grad 4. cyc
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
right......so type...or click 1.....you want deg mode
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
and try the atan(2/11) again
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
I got it now! :) Thanks so much!
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
AWESOME! lol finally haha! yes always have it in degree mode for problems like these :) ha! i feel accomplished! :D
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
So, is that x? x=10.30
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
correct....that is the direction the boat is heading...heading at 10.30 degrees in that direction and 11.18 would be the speed :)
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
well technically...its 10.30 degrees at THAT direction...but if the answer wanted to be technical...it would be 180 + 10.30...so 190.30 degrees.... if you would like me to explain...i will...but it may be hard to digest
 one year ago

Emily778Best ResponseYou've already chosen the best response.0
I already turned it in..._
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
well technically it's not wrong....just have to explain it....
 one year ago
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