Answer:
w=7.8
Step-by-step explanation:
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Answer:
(4x^2 + 3)(x + 3)
Step-by-step explanation:
Split the equation in the middle so you can factor it out:
4x^3 + 12x^2 | + 3x + 9
Then factor out:
4x^2(x + 3) | 3(x + 3)
Congrats, you completed your equation:
(4x^2 + 3)(x + 3)
Value of y = 30 and value of x = 30.3