By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
r = (1.5)³
= 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism.
Answer:
The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.
Here is how to do that! First we write the square root of 162 like this:
√162
The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:
√81 × 2
Next, we separate the numbers inside the √ as such:
√81 × √2
√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:
9√2
Step-by-step explanation:
Answer:
hope this helps .keep on learning
10% of 46.80 =4.68
46.80 + 4.68 = 51.48
Hope this helps :D
Equation to find number's value:
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as .
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation:
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation , which is the same thing as the equation we were using.
Now add n and together to get .
After you do this, your equation should look like .
Now divide both sides by to get n's value.
n = 35