Answer:
C. 16√5
Step-by-step explanation:
a squared plus b squared equals c squared!
Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.
It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem we can total those pennies until day-27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, you have 2^26 pennies.. a big number of pennies huh?=))
{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}
Answer: The dimensions of the rectangle are
Length = 75 and Width = 63
Step-by-step explanation: We would start with the information about the sides of the rectangle which states that the length is twelve inches more than it's width. In other words, if the width is represented by the letter w, then the length will be w + 12.
Also the perimeter of a rectangle is given as
2(L + W) where L is the length and W is the width of the rectangle
Therefore
Perimeter = 2( {w +12} + w)
276 = 2(2w + 12)
276 = 4w + 24
Subtract 24 from both sides of the equation
252 = 4w
Divide both sides of the equation by 4
63 = w
Therefore the width of the rectangle is 63 and the length is 75 (63 + 12).
L = 75 inches
W = 63 inches
Set the function equal to 0 and solve for
x= 3,2 + i, 2 −i
D is the answer I believe it is.
