In quadrilateral TUVW, m<U = 94º, m <V = 51°, and m<w =67º, what is m<T°?
1 answer:
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Answer: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.
Step-by-step explanation:
Since we have given that
Let A be the event of getting a faulty switch.
Let B be the event of getting a defective cord.
Here, P(A∪B) = 4% = 0.04
P(A∩B) = 0.1% = 0.001
P(A) = 2.5% = 0.025
We need to find P(B):
As we know that
Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.