Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
Answer:
-4096(16384)
67,108,864
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Carbon-14
t1/2 = 5700 years
t1 = 11400 years
t2 = 17100 years
N(t) = No(1/2)^(t/t1/2)
Where,
N(t) = amount of carbon left at time, t
No = initial amount of carbon
t = time taken
t1/2 = half life
Assume No = 1
N(11400) = 1 × (1/2)^(11400/5700)
= (1/2)^2
= 1/4
N(17100) = 1 × (1/2)^(17100/5700)
= (1/2)^3
= 1/8
From the fractions got from N(11400) and N(17100), 1/4 and 1/8 we can see a decrease in the initial amount of carbon by 1/2.
B.
t1/2 = 80000 years
N(t) = No × (1/2)^(t/80000)
Assume No = 1
N(t) = 1 × (1/2)^(t/80000)
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
Answer:
1) -10^3 (-10 to the power of 3)
2) r^5 (pie to the power of 5)
3) 1/2^2 + x^3 (1/2 to the power of 2 + x to the power of 3)