Step-by-step explanation:
every flip has 2 possible outcomes.
1 flip has 2.
2 flips have 2×2 = 2² = 4
3 flips have 2×2×2 = 2³ = 8
and so on.
the number of possible combinations flipping a coin n times is
C(n) = 2^n
for 10 flips
C(10) = 2¹⁰ = 1024
possible outcomes or combinations.
C. 2+3 = 5
1/12+1/12=2/12
So C would make sense because those all add up to the answer :-)
Answer:
Area of the sector = 57.26295cm²
Step-by-step explanation:
Radius of the circle=9cm
π= 3.142
Angle at B= 81° ( opposite angle of a quadrilateral)
Area of the sector = πr² * 81/360
Area of the sector = 3.142 * 9*9 * 0.225
Area of the sector= 3.142*81*0.225
Area of the sector = 57.26295cm²
Given:
The system of equations is


To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for
is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for
is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).