<span>Changing the y-coordinates will make all coordinates negative and give us an image, or reflection, in the third quadrantSwitching the coordinates will flip the figure back to the right orientationEach coordinate (x,y) is changed to (-y,-x)This is our general formula for rotating the figure 270 degrees about the origin</span> .Changing the y-coordinates will give us an image in the third quadrantIn other words, it will be a reflection of the figure in the second quadrant<span><span> Switching the coordinates will flip the figure back to the right orientation</span><span> <span>Each coordinate (x,y) is changed to (-y,-x)<span>This is our general formula for rotating the figure 270 degrees about the origin</span></span></span></span>
<span>Expected value is the sum of the probability of each even times the outcome of the event.
So she wins $10 with probability 2/8, $3 with probability 1/8, $0 with probability 3/8, and loses $3 with probability 2/8.
So,
E = 10(2/8) + 3(1/8) + 0(3/8) - 3(2/8)
=5/4 + 3/8 - 3/4
=7/4
<span>= $1.75
</span>
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Answer:
45°
135°
Step-by-step explanation:
Let the measure of one angle be x
So, measure of its supplementary angle = 3x
The answer is 57 because using remote angles theorem you get the largest angle equals to 66 degrees but you are not done yet you have to subtract 66 from 180 because of sum of angles in a triangle so you get 114 degrees and since you have an isosceles triangle you have to divide by two to get y so y = 57 degrees
Answer:
226.084 sq.m.
Step-by-step explanation:
Radius of circle = 18.6 cm
Area of sector = 
Area of sector = 
Area of sector = 
Area of triangle = 
a = OA = radius = 18.6 cm
b = OB = radius = 18.6 cm
x =123 °
Substitute the values in the formula
Area of triangle = 
Area of triangle = 
So, Area of shaded region = Area of sector - Area of triangle
=
=
Hence the area of the shaded region is 226.084 sq.m.
