Find the value of x in a triangle with one side 11 and 1 angle being 28

C: 12.5

Step-by-step explanation:

The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.

First we can set up our equation

Next we can solve for x by multiplying by x and dividing by

c 12.5

Step-by-step explanation:

cos 28 = adjacent side/ hypotenuse

cos 28 = 11/x

Multiply each side by x

x cos 28 = 11/x *x

x cos 28 = 11

Divide each side by cos 28

x cos 28/ cos 28 =11 /cos 28

x = 11 /cos 28

x =12.45827056

To the nearest tenth

x = 12.5

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.