Answer: C. 24 units
Step-by-step explanation:
The circumference of a circle is 2πr. Let's say x = 1/3r. Thus, the area of circle A relative to circle B is 1:3. Thus, circle B is 3 times larger than circle A. So, simply divide 64π by 4 to get 16π. Then multiply 16π*3=48π. For the circumference of a circle to be 48, the radius would have to be 24.
Hope it helps <3
Answer:
The answer is B) 1/25
Step-by-step explanation:
This is because given that f(x) = 5^x
Hence, f(-2) would be 5^-2, which is equal to (1/5^2) => 1/25
Because a^-b can be written as 1/a^b
Account A
A=p+i
A=25,000+(925×5)
A=29,625
Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125
How much more did the account B earn
33,125−29,625
=3,500
Answer:
41.29 cm²
Step-by-step explanation:
From the question,
Area of the shaded portion = Area of the circle - area of the square.
A' = πr²-L²...… Equation 1
Where A' = Area of the shade portion, r = radius of the circle, L = length of the square, π = pie
Given: r = 4 cm, L = 3 cm
Constant: π = 22/7.
Substitute these values into equation 1
A' = [(22/7)×4²]-3²
A' = 50.29-9
A' = 41.29 cm²
Hence the area of the shaded portion is 41.29 cm²
Answer:
The graphs of the two function will not intersect.
Step-by-step explanation:
We are given a quadratic function f(x).
Also g(x) is given by a set of values as:
x g(x)
1 -1
2 0
3 1
As g(x) is a linear function hence we find out the equation of g(x) by the slope intercept form of a line: y=mx+c
let g(x)=y
when x=1 , g(x)=-1
-1=m+c----(1)
when x=2 , g(x)=0
0=2m+c------(2)
Hence, on solving (1) and (2) by method of elimination we get:
m=1 and c=-2
Hence, the equation of g(x) is:
g(x)=x-2
So clearly from the graph we could see that the graph of the two functions will never intersect.
