Find the missing side. Round to the nearest tenth. The options are 46.4, 34.9, 30.6, and 11.5

34.9 probably.

Step-by-step explanation:

so they think they're pulling a sneaky on us by giving some random values but we know better. we know sin is opposite over hypotenuse and hypotenuse is something we want. we see a given angle with a given opposite and a badly needed hypotenuse so let's use the power of sin on that poor unsuspecting 35 degree angle. let's say sin(35)=20/x but we need to do some algebra voodoo to get that x variable where we want it. isolate x by saying x=20/sin(35). get your calculator unless you're some freaky math genius that knows sin(35) and divide 20 by sin(35) and it's probably close to 34.9 if pythagoras knew anything about triangles but I never met the man

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

c

step-by-step explanation: easy math