Rapheal is enrolled as a foreign-exchange student. he is from canada and is going to attend school in texas. on average he can spend $82 usd each month for the 5 months he is visiting. if his mother sent him $500 cad when he first arrived, what was the exchange rate of usd to cad.

1.2195

Step-by-step explanation:

For each month, he is given (on avg) $100 (CAD).

If on avg he can spend $82 (USD) each month,

then the USD: CAD ratio is

100:82, meaning $1 (USD) is equivalent to $.82(CAD)

and the exchange rate is calculated by equating  1 = .82x

thus, x= 1/.82 = 1.2195

thats not a system of equations, that is a solution

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft