Answer:
a) 2048
b)164
c)54
d) 11
Step-by-step explanation:
a) A coin has two faces.
Outcome possible =2^11= 2048
b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways
c)2 heads outcome= 11!/2!8!= 39716800/725760=54
d) 7 heads= 11!/7!6! =39716800/3628800 = 11
Given:
Consider the below figure attached with this question.
To find:
The perimeter of the polygon UVWXYZ.
Solution:
All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.
From the figure it is clear that,
UV = 9 units
VW = 2 units
WX = 3 units
XY = 3 units
YZ = 6 units
ZU = 5 units
Now, perimeter is the sum of all the sides.



Therefore, the perimeter of UVWXYZ is 28 units.
Answer:
The answer is 188
Step-by-step explanation:
because cm is 8 and cm has the exponent of 2 so that will equal 64 and 64 plus the area is 188
Answer:
Part A) The percentage increase was 
Part B) Michael is financially better off this year than last year
Step-by-step explanation:
Part A)
we know that
Using proportion
Let
x-----> the percentage increase

Part B) Compare the percentage increase with the inflation

The percentage increase is greater than the inflation
therefore
Michael is financially better off this year than last year
Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°