Edge length of the side of a cube = 5 inches
Then
Volume of the cube = (side)^3
= (5)^3
= 125 inches ^3
So the volume of the actual cube is 125 inches^3
Now after the side lengths are triple, then
New edge length of each side = 3 * 5 inches
= 15 inches
Then
New volume of the cube = (New side)^3
= (15)^3
= 3375 inches^3
Then the volume of the new cube is 3375 inches^3
So
The number of times the volume of the new cube is greater = 3375/125
= 27
<span>So the volume of the new cube is 27 times greater than the old cube.</span>
Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
30 cm^2.
Step-by-step explanation:
This is a right angled triangle because it fits the Pythagoras theorem ( 13^2 = 12^2 + 5^2).
The area = 1/2 * 12 * 5
= 30 cm^2.
Answer:
The order doesn’t matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.
Answer:
X 8
Step-by-step explanation: