The circumference of the new disc 160Π that is 10 time of old circumference.
Step-by-step explanation:
Given,
Circumference of circular disc = 16Π (pi = Π)
Let, the radius of the circle be 'r'
Formula
The circumference of a circle with r radius = 2 Π r
According to the problem,
2 Π r = 16Π
or, 2r = 16 ( by eliminating the value of Π from both the side)
or, r = 8
Now, we multiply the radius by 10
so, the new radius is 8 X 10 = 80
Now the circumference = 2 Π X 80
= 160Π
Hence, the new circumference also will be 10 times of the older one.
Answer:
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Step-by-step explanation:
Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a
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