Ngles α and β are angles in standard position such that: α terminates in quadrant iii and sinα = -5/13 β terminates in quadrant ii and tanβ = -8/13 find cos(α - β).

0.5848

Step-by-step explanation:

Sin α=-5/13--> arcsin(-5/13)=α and we know that α is in quadrant III  and because of trigonometry properties we know that sinα can be negative just in quadrant III and IV. There are two options so we choose the option of quadrant III.  α≅202,6°

Tanβ=-8/13---> arctang(-8/13)=β and we know that β is in quadrant II  and because of trigonometry properties we know that tanβ can be negative just in quadrant II and IV. There are two options so we choose the option of quadrant II. β≅148,39°

cos(α-β)=cos(202,6°-148,39)≅0.5848

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