Answer:
The distance from B to B' is 5 units
Step-by-step explanation:
The complete question is
Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?
we know that
In a translation the figure maintains its dimensions and internal angles
so
AA'=BB'=CC'=DD'
The distance BB' is the same that the distance AA'
<em>Find the distance AA'</em>
the formula to calculate the distance between two points is equal to
we have
A(1,5),A'(-2,1)
substitute in the formula
therefore
The distance from B to B' is 5 units
7/4 = (4 + 3)/4 = 4/4 + 3/4 = 1 + 3/4 =
1 3/4
Answer:
108 student tickets, and 176 adult tickets were sold.
I hope I helped, and thanks for the points!
Step-by-step explanation:
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .
Answer:
When we know all 3 sides, we use Heron's Formula
area = sqrt [s *(s-a) * (s-b) * (s-c)]
where "s" is the semi-perimeter which in this case equals
s = (6 + 8 + 12) / 2 = 13
area = sqrt [13 * 5 * 7 * 1]
area = sqrt 455
area = 21.3307290077
area = 21.33 square feet (rounded)
Step-by-step explanation:
