The picture in the attached figure
we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²
The <span>
expressions to find the area of the shaded sector is</span>
(120°/360°)*(16*pi) units²(1/3)*(16*pi)----> (16/3)*pi units²
the area of the shaded sector is (16/3)*pi units²
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Answer:
A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation:
The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
The final balance is $154,577.63 or
The total compound interest is $61,577.63
Step-by-step explanation:
You'd have a 50 percent chance of getting a bag of chips.
6+10+4=20
100÷20=5
5•10=50 = % chance of chips
5•6=30 = % chance of pretzels
5•4=20 = % chance of peanuts
