A 30 60 90 Triangle with a long leg of 12 Find the length of the hypotenuse and the short leg.

Step-by-step explanation:   5 17 7 22

the long leg would be opposite the middle angle 60°,  the hypotenuse is opposite the 90° angle thus leaving the 30° is opposite the short leg

1) use sin Θ = opp / hyp       sin 60° = 12 / hyp    to find the hypotenuse

1) use sin Θ = opp / hyp       sin 30° = opp/ hyp    to find the short leg

      hyp = 12 / sin(60)       = 13.856  hypotenuse

      opp = (12 / sin(60)) (sin 30)     =  6.92   short leg

short leg ²  + long leg ²  = hypotenuse ²

     48         +     144        =     192          sum of the legs squared = hyp²

2/3

step-by-step explanation:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.