The volume of a sphere, V = (4/3)(PI)(R^3)
Let k = (4/3)(PI)
Therefore, V = k (R^3)
Let R’ = new radius = 2R
V’ =k (R’^3)
= k (2R)^3
= 8 k R^3
= 8 V
The volume would be eight time the original volume.
Answer:
The answer to your question is 13 miles
Step-by-step explanation:
In the question is not mentioned the distance that Jose one during the afternoon, it is only mentioned that he ran faster than in the morning so we can imply that the distance was the same in both occasions, just he ran faster in the afternoon because there was no rain.
Give the number a label. That can be anything you want. A lot of people will use 'x' every single time they do a math problem,but there's no reason to do that and it's boring. Let's call our number ' M ' for 'Mystery number'. OK ?
The number . . . M
The square of the number . . . M²
Two more than the square of the number . . . M² + 2
You said that this is equal to 123, so we can write <u> M² + 2 = 123</u>
That's the equation we have to take and solve for ' M '.
Subtract 2 from each side of the equation, and you have M² = 121 .
Take the square root of each side: M = √121 .
The Mystery number is the square root of 121.
If you don't happen to know what that is, then you can use your pocket
calculator, or the calculator that comes with your computer (if you know
how to find it). They will all tell you that the square root of 121 is <em>11</em> .
That's a fine and wonderful answer, but technically, it's only half of the
answer. Any equation that has something squared in it almost always
has two solutions, and this one does.
The square root of 121 is a number that gives you 121 when you
multiply it by itself. ' 11 ' does that: (11 x 11) = 121 . Is there <em><u>another</u></em>
number that does the same thing ?
How about ' -11 ' ? Look at this: ( -11 x -11 ) = 121 . (Remember that
if both numbers being multiplied have the <em>same sign</em>, then their product
is positive.)
The bottom line is: The mystery number is<em> +11</em> and also<em> -11</em> .
Either one does what you want . . . When you square it and then
add 2 more, you get 123 either way.
Answer:
Step-by-step explanation:
Putting it in matrix form
From Cramer's rule we have
Verifying the results
Hence, the fraction is .
