Which answer is it? 19 71 83
Second one is either yes or no

x = 71°

Yes.

Step-by-step explanation:

To solve for x, use the cosine trigonometric ratio. You can remember all of the trig. ratios with SohCahToa.

"Cah" tells us "cosine is adjacent over hypotenuse", or:

cosθ = adjacent / hypotenuse

θ means the angle of reference, or the angle we are talking about.

The hypotenuse is the longest side, usually looking slanted.

The adjacent side is touching angle θ and is not the hypotenuse.

Use the formula and substitute the sides.

cosθ = adjacent / hypotenuse

cosx = 4ft / 12ft              Dividing two same units will cancel them out

x = cos⁻¹(4/12)                 Rearranged to isolate "x". Input into calculator.

x = 70.52877°                 Exact answer

x ≈ 71°                  Rounded answer

If 70° < x < 75°, the ladder is safe.

70° < 71°

71° < 75°

Since 71° is between 70° and 75°, the ladder is safe.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: