Answer:
Step-by-step explanation:
The problem can be modeled by using the compound growth formula.
Given, Initial number P_0 of people who Nicholas sent the chain letter t=50
The growth rate, r =99%=0.99
Period of Growth,k =12 Weeks
Therefore, in any week (t) after Nicholas initially sent the mail, the number of people who receive the email is modeled by the function:
Apply the Pythagorean Theorem here.
Square the lengths of the 2 shorter sides: (20 mi)^2 and (40 mi)^2. Correct results are 400 and 1600. Combine these: obtain 2000.
Then the length of the diagonal (which is the distance between the 2 cities) is
sqrt(2000) = sqrt(400)*sqrt(5) = 20 sqrt(5) (answer)
5^4 x 5^8
= (5 x 5 x 5 x 5) x (5 x 5 x 5 x 5 x 5 x 5 x 5 x 5)
= (625) x (390,625)
= 244,140,625
//
5^4 x 5^8 = 244,140,625
Answer:
See below.
Step-by-step explanation:
The 3 marked angles add up to 360 degrees.
5x + 12 + 10x - 37 + 9x + 1 = 360
24x - 24 = 360
24x = 384
x = 384/24 = 16
The large angle at C = 10(16) - 37
= 160 - 37 = 123 degrees.
So m <BCA = 180 - 123
= 57 degrees (adjacent angles add up to 180).
