Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
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Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
Answer:
Vertex: (0, 0)
Focus: (0, 
)
axis of symmetry: 
= 0
Directrix: 
= 
solution(s): = 0
Step-by-step explanation:
Vertex:
The equation for a parabola is y = a(x - h)² + k
the vertex is the point (h, k), so in this equation the vertex is (0, 0)
Focus:
The equation for the focus of a vertical parabola is 4p(y - k) = (x - h)²
(p is the distance from the vertex to the parabola)
axis of symmetry:
The axis of symmetry is a vertical line that divides the parabola into two equal halves.
In this instance, because the vertex is (0, 0), the axis of symmetry is = 0
Directrix:
The directrix is the point that is an equally far from the vertex as the focus is. Because this is the case, it would be the opposite of the focus, making the directrix
Solution:
The only solution is = 0 because the parabola only touches the x-axis once at the vertex
Answer:
add it all and yu wil get all the answer and multiple it
Answer:
See below
Step-by-step explanation:
9x-7=0
We want to isolate the variable, or in other words, get x alone.
The first step is to add 7 to each side to get the constant on one side and the variable on the other
9x-7+7 = 0+7
9x =7
The since we are multiplying x by 9, we need to do the opposite to isolate it. We will divide by 9. What we do to one side, we do to the other. Divide both sides by 9
9x/9 = 7/9
x =9
We have successfully isolated the variable and solved for x.
