Mathematics 67 Online
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
vennii2taxcked: Go follow my insta @_mrs.tooflyyy
32 minutes ago 2 Replies 0 Medals
rose12345: what is the genotype ratio for this cross?
36 minutes ago 6 Replies 1 Medal
DemonKinge: anybody hea white?
1 hour ago 1 Reply 0 Medals
DemonKinge: I just found out I'm gay
1 hour ago 10 Replies 1 Medal
DemonKinge: who's gotta big gyatt lmao
1 hour ago 2 Replies 0 Medals
rose12345: What is the genotype ratio for this cross?
1 hour ago 3 Replies 0 Medals