Solve the triangle a=10, b=100 degrees, y=48 degrees.

  see below

Step-by-step explanation:

You know α = 32° because the sum of angles must be 180°.

The angles, least to greatest, are ...

  α = 32°, γ = 48°, β = 100°

so the order of side lengths, least to greatest, will be a, c, b.

The only answer choice with side lengths in that order is the one shown below.

_____

If only one side length and two angles are given, the triangle always has a solution.

45

step-by-step explanation:

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)