#4 need help with this one

x = 25.6

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 43

a: adjacent  = x

o: opposite

h: hypotenuse  = 35

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

cos α = a/h

cos 43° = x / 35

cos 43° * 35 = x

25.59 = x

if we want to round to the nearest tenth

x = 25.59 = 25.6

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 35

With m∠43° as the reference angle,

x represents the adjacent side of the right angle triangle.

The unknown side represents the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 43 = x/35

x = 35Cos 43

x = 35 × 0.7314

x = 25.6 to the nearest tenth.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925