Since triangle ABC is a right triangle (90*), and angle ACB 45*, angle CAB must also equal 45*
Angles of triangle = 180=90+45+x
180=135+x
180-135=135-135+x
45=x
Answer:There are 20 socks in the first case and there are 75 socks in the second case.
Step-by-step explanation:
We find the value of N₀ since we are provided with initial conditions.
The condition is that, at time t = 0, the amount of substance contains originally 10 grams.
We substitute:
10 = N₀ (e^(-0.1356)*0)
10 = N₀ (e^0)
N₀ = 10
When the substance is in half-life (meaning, the half of the original amount), it contains 5 grams. We solve t in this case.
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Multiply natural logarithms on both sides to bring down t.
ln(0.5) = -0.1356*t
Hence,
t = -(ln(0.5))/0.1356
t ≈ 5.11 days (ANSWER)