Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = ![\sqrt[3]{9261}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9261%7D)
radius = 21
Answer:
Yes, F is a continuous function of r
Step-by-step explanation:
We are given that
When r<R



Where M=Mass of the earth
R=Radius of earth
G=Gravitational constant
We have to find the function is continuous of r or not.
LHL

RHL


When a function is continuous at x=a
Then, LHL=RHL=f(a)
RHL==LHL=F(R)
Hence, the function is continuous of r.
Answer:
distance is 14.04
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.
we use Pythagoras
c² = a² + b²
c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).
the x difference
-8 - 6 = -14
the y difference
-2 - -1 = -1
c² = -14² + -1² = 196 + 1 = 197
c = sqrt(197) = 14.04
Answer:
(2, 1 )
Step-by-step explanation:
Assuming the centre of dilatation is the origin.
Then multiply each of the coordinates of B by 0.5 , that is
B(4, 2 ) → (4(0.5), 2(0.5)) → (2, 1 )
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