Determine the approximate value of x
a. 18.85
b. 7.36
c. 8.69
d. 20.47

The answer to your question is x = 8.69 cm

Step-by-step explanation:

From the image we can conclude that this is a right triangle, so we must use trigonometric functions to solve it.

Data

hypotenuse = x = ?

Adjacent side = 8 cm

Ф = 23°

Process

1.- We must use the trigonometric function cosine to solve this problem.

    Cos Ф =

2.- Solve it for hypotenuse

    hypotenuse x cos Ф = Adjacent side

    hypotenuse = Adjacent side / cos Ф

3.- Substitution

    hypotenuse = 8 / cos 23°

3.- Simplify and result

    hypotenuse = 8 / 0.9205

    hypotenuse = x = 8.69 cm

answer: 1 + 1 = 11

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116