What is the area of triangle abc if ab is tangent to the circle?

square units.

Step-by-step explanation:

We have been given that AB is tangent to circle C. We are asked to find the area of triangle ABC.

We know that tangent is perpendicular to radius of circle, therefore, measure of angle A is 90 degrees.

Our given triangle is 30-60-90 triangle, so length of side AB (opposite to 60 degree) will be .

Therefore, the area of the triangle is square units.

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