Answer: A. 51%
Step-by-step explanation:
Area of circle = 
, where r = radius of the circle.
In the figure below, we have the complete question.
According to that,
Radius of outer circle = 7ft
Radius of inner circle = 5ft
The probability that the thumbtack will be placed on the inner circle
[π is canceled from numerator and denominator
in percent, 
So, the probability that the thumbtack will be placed on the inner circle = 51%
Hence, the correct option is A. 51%.
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Answer:
y = (-4/3)x + 4
Step-by-step explanation:
Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.
Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3
So, at this point, y = (-4/3)x + b.
Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.
Thus, we plug in these values into the equation y = (-4/3)x + b, to get
0 = (-4/3)(3) + b
0 = -4 + b, so that
b = 4.
Hence, the answer is:
y = (-4/3)x + 4
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
