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Emily778
 2 years ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
Emily778
 2 years ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.

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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2is that a 9? or a 4?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2here's the template again dw:1362774782473:dw I would add this to your notes if you don't have it already

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2notice how the number in front of the sqrt(3) on the longer leg is 9 so that must mean that x = 9

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1how did you get 30 and 2x?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2well 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2since 150 + 30 = 180

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2as for the 2x... the hypotenuse is always twice as long as the shorter leg in a 306090 triangle

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2so that explains the x for the shorter leg and 2x for the hypotenuse

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1should I write that process down?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2yes I would if you're not familiar with it

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1would it be a good idea to write it on my homework?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2if you want to, there's nothing wrong with using this template

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2you can draw the template off to the side and show that x must be 9

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2when you match up the terms

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1why did you get rid of the 9?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2what do you mean?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1it was 9 sqrt 3? now, it's X sqrt 3?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2no, I said x was 9 so x = 9

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2oh i see what you mean

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1you said in the picture above..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.29 * sqrt(3) ... what we're given x * sqrt(3)... template

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2notice how the x and the 9 match up

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2so that's how I got that x = 9

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2the y and the 2x match up, so y = 2x y = 2*9 y = 18

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1you are so confusing me. Can you write it out like, step 1, step 2. And start from the beginning cause I'm lost

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2did you see how I got x = 9?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2here is your triangle (on top) and the general template triangle (on bottom) dw:1362776258556:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2notice how these two sides match up dw:1362776369974:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1can we not use the template? it's confusing

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2have you learned trig yet?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1can you just show me the process of how to solve this?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2I'm just curious because if you have, then we can use that

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I just wanna solve it..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2I know, but I need to know if you know trig so it will make sense if I use it

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2have you learned things like sine, cosine, tangent, etc?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2so you've seen things like sine = opposite/hypotenuse ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2I'll assume yes

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2tan(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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2sure this method is a bit more complicated, but it works it all hinges on whether you know trig or not

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2yeah, or you could skip a few steps I guess

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2wherever you see a 'sqrt', use the square root symbol of course

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Should 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2I 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))

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I'm confused. Is this 3 times 9? sqrt(3)*9*sqrt(3) = 3x

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2yeah it's just a complicated way of saying 9*3

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1so it's actually 9 times 3 sqrt 3= 3x

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2no the sqrt(3) terms multiply to 3 so that's why 9*sqrt(3)*sqrt(3) = 3x turns into 9*3 = 3x

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I got the x. What's the Y?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2well y = 2x so y = 2*9 = 18

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2you can use the pythagorean theorem to confirm, but you'd get the same answer (just in a more complicated way)

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1how did you find that Y= 2x?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2well you would use the template...but just remembered you don't like that template very much

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2so you can use a^2 + b^2 = c^2 to find the value of y

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2a^2 + b^2 = c^2 9^2 + (9*sqrt(3))^2 = y^2 81 + 243 = y^2 keep going to solve for y

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Recreation. 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.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1362781717017:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2tan(17) = 12/x x*tan(17) = 12 x = 12/tan(17) x = ???

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2not until you solve for it

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2by typing 12/tan(17) into the calculator

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2yeah it's not too bad to find

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1so, that's the answer?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Last question. I was wrong btw. There's only 3 questions left, not 4. :P

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2ok works for us lol

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1The 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.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1362782836744:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1362782951298:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2we get this triangle dw:1362782979724:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2let x and y be the two unknown angles dw:1362783041003:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2tan(x) = 1/2.5 tan(x) = 0.4 x = arctan(0.4) x = ??

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1do I draw all of these?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2you don't have to, but it helps to see how to get the answer

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2so what do you get for x?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2it's the inverse of tangent

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2if 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

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1how do I get it on my calculator?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2at the top, you'll see that " arctan(0.4) = 21.8014095 degrees"

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2if you have a TI83, 85, 86, etc you can hit 2nd, then tan to get arctan

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1where's arc on the calculator?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2what kind of calculator do you have?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1it said "Atan" when i did that, not arctan

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1But I still got the right answer

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2atan is just a shorter version of arctan

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2np what did you get for x?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2y = 90  x y = 90  21.8 y = 68.2

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2now that you know x and y, you would double them to find the angles of the rhombus

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.221.8*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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2what do you mean

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1oh..double them seperately.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2because we want the angles of the rhombus, not the triangle

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1okay, what do I do after?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2you're done, you found the angles of the rhombus

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1oh, so x= 43.6 and y=136.4?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2no those are the two angles of a rhombus

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2the other two are congruent to those two

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2we have something like this dw:1362784125897:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2the diagonals are 5 and 2, I just didn't have enough room to draw them in

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2no, they just want the angles

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2you can if you want

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1where are the diagonals?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2lol like i said, i didn't have enough room

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1362784257953:dw see how things get cut off?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2yes pretty much
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