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

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph