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Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
 one year ago
 one year ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
 one year ago
 one year ago

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Emily778Best ResponseYou've already chosen the best response.1
dw:1362774575688:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
is that a 9? or a 4?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
here's the template again dw:1362774782473:dw I would add this to your notes if you don't have it already
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
notice how the number in front of the sqrt(3) on the longer leg is 9 so that must mean that x = 9
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
how did you get 30 and 2x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
well the given angle is 60, which adds to the right angle 90 to get 90+60 = 150 the remaining angle must be 30 in order for the three to add to 180
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
since 150 + 30 = 180
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
as for the 2x... the hypotenuse is always twice as long as the shorter leg in a 306090 triangle
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so that explains the x for the shorter leg and 2x for the hypotenuse
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
should I write that process down?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yes I would if you're not familiar with it
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
would it be a good idea to write it on my homework?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
if you want to, there's nothing wrong with using this template
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you can draw the template off to the side and show that x must be 9
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
when you match up the terms
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
why did you get rid of the 9?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
what do you mean?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
it was 9 sqrt 3? now, it's X sqrt 3?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
no, I said x was 9 so x = 9
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
oh i see what you mean
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
you said in the picture above..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
9 * sqrt(3) ... what we're given x * sqrt(3)... template
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
notice how the x and the 9 match up
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so that's how I got that x = 9
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
the y and the 2x match up, so y = 2x y = 2*9 y = 18
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
you are so confusing me. Can you write it out like, step 1, step 2. And start from the beginning cause I'm lost
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
did you see how I got x = 9?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
here is your triangle (on top) and the general template triangle (on bottom) dw:1362776258556:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
notice how these two sides match up dw:1362776369974:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
can we not use the template? it's confusing
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
have you learned trig yet?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
can you just show me the process of how to solve this?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
I'm just curious because if you have, then we can use that
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I just wanna solve it..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
I know, but I need to know if you know trig so it will make sense if I use it
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
have you learned things like sine, cosine, tangent, etc?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so you've seen things like sine = opposite/hypotenuse ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
I'll assume yes
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
tan(30) = opposite/adjacent tan(30) = x/(9*sqrt(3)) sqrt(3)/3 = x/(9*sqrt(3)) ... use a calculator or the unit circle here sqrt(3)*9*sqrt(3) = 3x 9*sqrt(3)*sqrt(3) = 3x 9*3 = 3x 27 = 3x 3x = 27 x = 27/3 x = 9 so you can see that we get the same answer as we did before
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
sure this method is a bit more complicated, but it works it all hinges on whether you know trig or not
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
do I write that down?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yeah, or you could skip a few steps I guess
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
wherever you see a 'sqrt', use the square root symbol of course
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Should I write this down and skip all the other steps? :) sqrt(3)*9*sqrt(3) = 3x 9*sqrt(3)*sqrt(3) = 3x 9*3 = 3x 27 = 3x 3x = 27 x = 27/3 x = 9
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
I would have the previous steps in there, these ones tan(30) = opposite/adjacent tan(30) = x/(9*sqrt(3)) sqrt(3)/3 = x/(9*sqrt(3))  I guess you could skip step 2 to get just these steps tan(30) = opposite/adjacent sqrt(3)/3 = x/(9*sqrt(3))
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I'm confused. Is this 3 times 9? sqrt(3)*9*sqrt(3) = 3x
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yeah it's just a complicated way of saying 9*3
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
so it's actually 9 times 3 sqrt 3= 3x
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
no the sqrt(3) terms multiply to 3 so that's why 9*sqrt(3)*sqrt(3) = 3x turns into 9*3 = 3x
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I got the x. What's the Y?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
well y = 2x so y = 2*9 = 18
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you can use the pythagorean theorem to confirm, but you'd get the same answer (just in a more complicated way)
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
how did you find that Y= 2x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
well you would use the template...but just remembered you don't like that template very much
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so you can use a^2 + b^2 = c^2 to find the value of y
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
a^2 + b^2 = c^2 9^2 + (9*sqrt(3))^2 = y^2 81 + 243 = y^2 keep going to solve for y
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
okay, 2nd problem! :p
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Recreation. A skateboarding ramp is 12 inches high and rises at an angle of 17 degrees. How long is the base of the ramp? Round to the nearest inch.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
dw:1362781717017:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
tan(17) = 12/x x*tan(17) = 12 x = 12/tan(17) x = ???
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
not until you solve for it
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
by typing 12/tan(17) into the calculator
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yeah it's not too bad to find
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
so, that's the answer?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Last question. I was wrong btw. There's only 3 questions left, not 4. :P
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
ok works for us lol
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
The lengths of the diagonals of a rhombus are in 2 inches and 5 inches. Find the measures of the angles of the rhombus to the nearest degree.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
dw:1362782836744:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
dw:1362782951298:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
we get this triangle dw:1362782979724:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
let x and y be the two unknown angles dw:1362783041003:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
tan(x) = 1/2.5 tan(x) = 0.4 x = arctan(0.4) x = ??
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
do I draw all of these?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you don't have to, but it helps to see how to get the answer
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so what do you get for x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
it's the inverse of tangent
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
if you don't have a calculator that can handle arctan, then look here http://www.google.com/search?hl=&q=arctan%280.4%29+in+degrees&sourceid=navclientff&rlz=1B3GGLL_enUS420US420&ie=UTF8
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
how do I get it on my calculator?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
at the top, you'll see that " arctan(0.4) = 21.8014095 degrees"
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
if you have a TI83, 85, 86, etc you can hit 2nd, then tan to get arctan
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
where's arc on the calculator?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
what kind of calculator do you have?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
it said "Atan" when i did that, not arctan
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
But I still got the right answer
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
oh same thing
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
atan is just a shorter version of arctan
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
np what did you get for x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
y = 90  x y = 90  21.8 y = 68.2
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
now that you know x and y, you would double them to find the angles of the rhombus
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
21.8*2 = 43.6 which is the measure of one set of angles of the rhombus 68.2*2 = 136.4 which is the measure of another set of angles of the rhombus
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
what do you mean
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
oh..double them seperately.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
because we want the angles of the rhombus, not the triangle
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
okay, what do I do after?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you're done, you found the angles of the rhombus
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
oh, so x= 43.6 and y=136.4?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
no those are the two angles of a rhombus
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
the other two are congruent to those two
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
we have something like this dw:1362784125897:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
the diagonals are 5 and 2, I just didn't have enough room to draw them in
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
no, they just want the angles
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you can if you want
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
where are the diagonals?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
lol like i said, i didn't have enough room
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
dw:1362784257953:dw see how things get cut off?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yes pretty much
 one year ago
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