Soh cah toa. solve for x and round to the nearest tenth

someone explain to me step by step

7.6=x

Step-by-step explanation:

We know the adjacent side to the known angle and the hypotenuse

cos 65 = adjacent / hypotenuse

cos 65 = x /18

Multiply each side by 18

18 cos 65 = x/18 * 18

18 cos 65 = x

7.607128711 =x

Rounding to the nearest tenth

7.6=x

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950