Find the value of x, rounded to the nearest tenth.

The answer is C. 6.2

Step-by-step explanation:

In order to determine the "x" value, we have to know about right triangles.

A right triangle is triangle with an angle of 90 degrees (pi/2 radians). The sides a, b, and c of such a triangle satisfy the Pythagorean theorem .

where the largest side is conventionally denoted c and is called the hypotenuse. The other two sides of lengths a and b are called legs, or sometimes catheti.

Also, there are some relations called "trigonometric relations". These formulas relation the angles and sides of a right triangle.

I have attached an image that shows the trigonometric relations in a right triangle.

According to the image,

Angle=20 degrees

Opposite side= X

Hypotenuse= 18

We use the "sine" trigonometric relation:

The rounded result to the nearest tenth is 6.2, so the answer is C.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.