Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary

(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)

∠TSR= 48°

∠RTS = 107°  

∠TRS = 25°

Step-by-step explanation:

As we know in any triangles,

We can apply The Law of Cosines , which is:

= +  − 2ab cos(C)

In this situation we have:

Apply The Law of Cosines to find the angle of TRS

<=>

<=> cos(TRS ) = () / 2*11*14

<=> cos(TRS ) = 0.91

<=> ∠TRS  = 25°

Apply The Law of Cosines to find the angle of RTS

<=>

<=> cos(RTS) =  () / 2*11*6

<=> cos(RTS) = -0.29

<=> ∠RTS = = 107°  

So we can find the measure of angle TSR

∠TSR= 180° - 107°  - 25°

∠TSR= 48°

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: