Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

Now isolate the variable. Multiply both sides by x:

The x's on the right side cancel each other out. Simplify:

Now divide both sides by cos75°:

The cos75° on the left side cancels each other. Simplify:

Insert this value into a calculator to simplify the value of x:

The hypotenuse is 38.6 m.
:Done
Answer:
x= 11
Step-by-step explanation:
you subtract 3 from 14 and 11 is you answer so x=11
Factor the coefficients:
-12=(-1)(3)(2^2)
-9=(-1)(3^2)
3=3
The greatest common factor (GCF) is 3
Next we find the GCF for the variable x.
x^4
x^3
x^2
The GCF is x^2.
Next GCF for variable y.
y
y^2
y^3
the GCF is y
Therefore the GCF is 3x^2y
To factor this out, we need to divide each term by the GCF,
(3x^2y)(−12x4y/(3x^2y) − 9x3y2/(3x^2y) + 3x2y3/(3x^2y) )
=(3x^2y)(-4x^2-3xy+y^2)
if we wish, we can factor further:
(3x^2y)(y-4x)(x+y)