Sphere a has a radius of 24 centimeters, and sphere b has a diameter of 42 centimeters. the radius of sphere a is multiplied by what factor to produce the radius of sphere b?

4/7
7/8
8/7
7/4

The factor is 7/8

Step-by-step explanation:

Ok, we know that Sphere A as a radius of 24 cm, and sphere B has a diameter of 42 cm.

We want to find the factor which multiplied by the radius of sphere A gives us the radius of sphere B.

First, let's find the radius of sphere B.

We know that Diameter = 2*Radius.

So the radius of sphere B is equal to the diamater divided by 2.

rB = 42cm/2 = 21cm

now, let's find the number x that:

24cm*x = 21cm

x= 21cm/24cm = 21/24  

now, we can divide numerator and denominator by the same number, in this case 3, and get:

x = 21/24 = (21/3)/(24/3) = 7/8

x = 7/8

So the factor is x= 7/8, the second option.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

answer by yourhope:

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