Answer: You would need 512 cubic centimetres
Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.
If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.
The volume of a cube is given as follows;
V = L x W x H (and the answer is expressed as V³)
Since the length , width and height all measure 8 cm, the volume can simply be expressed as
V = L x L x L
V = L³
V = 8³
V = 512 cm³
Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.
A we cannot repeat the digits, so, first five digits will be:
10 × 9 × 8 × 7 × 6
Now the next 1 digit will all be letter all being different
There are 26 letters in the alphabet.. for our second digit we have 26 choices,
Here is the whole calculation:
= 10 × 9 × 8 × 7 × 6 × 26
= 786240
To learn more about calculating possibilities from the given link
brainly.com/question/4658834
#SPJ4
Answer:
Step-by-step explanation:
Let x be the number.
6 times the number = 6*x = 6x
Sum of 6 times of a number and twelve = 6x + 12
Three-fourths of the sum of 6 times of a number and twelve = ![\frac{3}{4}(6x +12)](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%286x%20%2B12%29)
![\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%28%206x%20%2B%2012%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D%2A6x%20%2B%20%5Cfrac%7B3%7D%7B4%7D%2A12%5C%5C%5C%5C)
![= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3%7D%7B2%7D%2A3x%20%2B%203%2A3%5C%5C%5C%5C%3D%5Cfrac%7B9%7D%7B2%7Dx%20%2B%209)
Complementary angles add up to 90 degrees.
The complement of 57 is (90 - 57) = 33 degrees.