Answer:
Step-by-step explanation:
There are 6 values on a die, and we want 2 values. The fraction now is 
. But, wait! We can simplify this fraction: .
Side note:
I understand if you wanted just the fraction and not simplified.
Answer:
-2pi/3
Step-by-step explanation:
y = 2 cos 3(x + 2π∕3) +1
y = A sin(B(x + C)) + D
amplitude is A
period is 2π/B
phase shift is C (positive is to the left)
vertical shift is D
We have a shift to the left of 2 pi /3
First one :
We divide it into two rectangles (the top one has dimensions 2in*4in)
The area of the top rectangle is 2*4=8 in^2
The second rectangle has dimensions 3*(5-3)=6 in^2
Hence the total area is 8+6=14 square inches
Second one :
We divide it into a rectangle (dimensions 11*17) and a triangle on the top.
The area of the rectangle is 11*17=187 m^2
The rectangle has dimensions 17 (base's length) and 23-11 (height) hence its area is 17*(23-11)/2=102 m^2
Hence the total area is 102+187=289 square meters
Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points
Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points
Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.
Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.
Therefore the only coordinates that satisfies the equation is (3,-2)
Answer:
183
Step-by-step explanation: 13+4=17 200-17=183
