Please help, I don’t understand

Step-by-step explanation:

These type of problems show up on the most.  I'm kinda alarmed at how often I try to help people with these.  it's not that the problem is hard, it's just that it's hard to explain.  I feel like teachers "drop the ball" when it comes to explaining this kind of problem.  

copy and paste the below into your notes

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and paste the above into your notes

Opp = Opposite,  Adj = Adjacent (next to)

Now use the info in the trig functions to help you decide which function to use to solve this problem.   Also ask your teacher if I can have 1/3 of their pay.  For teaching you how to do this,   when they couldn't  :P

Hyp is always the long side of the triangle.   But Opp and Adj can switch , depending on which angle  you use.

let's us the 30° one so that    is the Opp side from that angle

since we have the Opp and the angle and want to find  the Hyp.  Sin has all of those parts.  and we can solve for Hyp and get the answer we're looking for.

Sin(30) =    / Hyp

use your algebra skillz and move terms around

Hyp =  / Sin(30)

Hyp =  / (1/2)

Hyp = 2

you have to put the graph on here with the question

step-by-step explanation:

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.