Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
Answer:
18360
Step-by-step explanation:
A = P (1 + r/n)^(nt) where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years
A = 17000 (1 + .08/1)^(1*1)
A = 17000( 1.08)^1
A = 18360
Answer:
To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.
Parent Function:
g(x)=|x|
Horizontal Shift: Right 4 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: None
Vertical Compression or Stretch: None
Step-by-step explanation:
You got this you can do it I don’t know the answer but I hope you find someone who does(:
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 

Now let us consider ΔBDE, sin(∠DBE) = 
