Mathematics OpenStudy (anonymous):

In triangle ABC, the ratio of the angle is A:B:C=2:3:4. What is the measure of the smallest angle? OpenStudy (amistre64):

the smallest angle is opposite the shortest side OpenStudy (amistre64):

and we can calculate that angle using a modifies law of cosines OpenStudy (amistre64):

$cos^{-1}\left(\frac{short^2 - side^2-other.side^2}{-2(side)(other.side)}\right)=angle$ OpenStudy (amistre64):

$cos^{-1}(\frac{2^2 -3^3-4^2}{-2(3)(4)})=angle$ $cos^{-1}(\frac{4 -9-16}{-24})=angle$ $cos^{-1}(\frac{11}{24})=angle$ OpenStudy (amistre64):

helps to know how to add... let me fix that OpenStudy (amistre64):

$cos^{-1}(\frac{21}{24})=abt.\ .5054^o$ OpenStudy (anonymous):

um thats not any of the choices (1)20 (2)40 (3)60 (4)80 OpenStudy (amistre64):

may calc was on radians :) OpenStudy (amistre64): OpenStudy (amistre64):

$2^2 = 3^2 + 4^2 -2(3)(4)\ cos(a)$ $4 = 9 + 16 -24\ cos(a)$ $4-9-16 = -24\ cos(a)$ $-21/-24 = cos(a)$ $cos^{-1}(21/24) = a$ or at least it should right? OpenStudy (amistre64): OpenStudy (amistre64):

but thats aint a choice is it OpenStudy (anonymous):

nope OpenStudy (amistre64):

the next biggest one = 9-4-16 11 ------- = ---- ; cos-1(11/16) = abt 47 degrees -2(2)(4) 16 30 + 47 = 77 180 -77 ---- 103 OpenStudy (amistre64):

those are the answers; but your choices are either mistyped, or someone messed it up in the program :) OpenStudy (anonymous):

lol its a prep regent OpenStudy (amistre64):

28.955 degrees is the smallest angle tho ;) good luck with it OpenStudy (anonymous):

lol thanks for trying

Latest Questions xXT0mb0ySkat3rXx: Rio de Janeiro is a city in ______. Argentina Columbia Brazil Chile
18 seconds ago 0 Replies 0 Medals lolokrat: pls help !!
5 minutes ago 1 Reply 0 Medals CriminalNoah: 'Life aint fair but sometimes i dont care. Sometimes im not even aware. I bare guilt in despair.
7 minutes ago 0 Replies 0 Medals xXT0mb0ySkat3rXx: Which landform is in the central part of North America? plateau mountains plains
5 minutes ago 3 Replies 0 Medals CourtneyWatson: what is 84+43-58? @thetaurus21
1 hour ago 0 Replies 0 Medals Foreverangel: What is the cosine equation of the function shown? Enter any phase shift as its smallest multiple from the fundamental period.
1 hour ago 1 Reply 1 Medal Trickjoker: Can someone PLEASE explain anime to me? the All SUbjects chat think I am joking.
1 hour ago 12 Replies 0 Medals Bakerluv: An investment account that compounds interest started with a principle of 1,712.36 and after some time was now \$6,022.
2 hours ago 0 Replies 0 Medals Trickjoker: I got an audition with Disney! LOOK AT THIS THO!!! AUDITIONS ***Acting Modeling Singing Dancing*** *** A GUEST FROM THE HIT DISNEY SHOW KC UNDERCOVER WILL M
2 hours ago 0 Replies 0 Medals