PLEASE HELP M The picture shows a triangular island:
A right triangle is shown with an acute angle equal to 55 degrees. The length of the side of the triangle opposite to the acute angle is r. The length of the side of the triangle adjacent to the acute angle is s. The length of the hypotenuse is q.

Which expression shows the value of q?

r cos 55°
r sin 55°
s over sin 55 degrees
s over cos 55 degrees

it shoild be o

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)

look in attachments

step-by-step explanation:

a = (-2, 0)

b= (-4, 0)

c = (-5,2)

d = (-1,2)