Find the value of x. Round to the nearest tenth.
16
38
Not drawn to scale
а
9.9
b
26.1
C
10.2
d
26

D.) 26

Step-by-step explanation:

Use the sine ratio because we are working with the side opposite the given angle and need to find the hypotenuse:

Insert values:

Solve for x. Multiply both sides by x:

Isolate x. Divide both sides by sin 38:

Insert this value into a calculator:

Round to the nearest tenth:

step-by-step explanation:

the true ones are a b and d

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0