The center of the circle is (0,2) and the radius is 5 units
<h3>How to determine the radius and the center?</h3>
The equation is given as:
x² + (y-2)² =25
The equation of a circle is given as:
(x - a)² + (y - b)² = r²
Where:
Center = (a,b)
Radius = r
By comparison, we have:
(a,b) = (0,2)
r² = 25
Evaluate
r = 5
Hence, the center of the circle is (0,2) and the radius is 5 units
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Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Given:
Radius of the cylinder = 5 in
Height of the cylinder = 30 in.
To find:
The surface area of the cylinder.
Solution:
The surface area of the cylinder is:
Where, r is the radius and h is the height of the cylinder.
Putting 
in the above formula, we get
Therefore, the surface area of the cylinder is 1099 square inches.
Answer:100 off discount
Step-by-step explanation:
If you use the 20% discount you get only 95 dollars off the price
I believe the answer would be 2 23/42. Sorry, if I am wrong with this answer. Sorry, i also mean the answer should be actually 1 3/7
