Hello! To solve this problem, we should do 180/225. When you do that, you get 0.8. But then, you must multiply by 100 to get your percentage. When you do that, the product should be 80. 180 is 80% of 225.
Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
The perimeter of the figure is 50.56 cm.
Solution:
Radius of the quarter of a circle = 8 cm
Perimeter of the quarter circle = 
= 12.56 cm
In figure, one side of the quarter circle is merged with rectangle, so remove one radius from the perimeter of the quarter circle.
Perimeter of the given quarter circle = 12.56 cm – one radius
= 12.56 cm – 8 cm
= 4.56 cm
Perimeter of the rectangle given = (17 – 8) cm + 10 cm + 17 cm + 10 cm
= 9 cm + 10 cm + 17 cm + 10 cm
= 46 cm
Perimeter of the given figure = 4.56 cm + 46 cm
= 50.56 cm
Hence the perimeter of the figure is 50.56 cm.
is equation of circle which have radius equal 5 and center in (0,0) point
