The <span>perimeter of a face of the new cube is 8 times larger than the previous cube.
</span>Let us say, the side of cube before increase is "a"
Then perimeter of the cube = 12a ,
because the cube has 12 sides.
And perimeter of a face of cube = 4a
Now, the side length is increased by factor of 3 i.e. new side is 3a
Thus, perimeter of new face of the cube = 4*3a = 12a
Therefore, the new perimeter is larger by = 12a - 4a = 8a
Answer: adult ticket = 131 , student ticket = 262
Explanation:
Let x be the number of student ticket
Let y be the number of adult ticket
x + y = 393
x = 2y
Substitute x value:
2y + y = 393
3y = 393
y = 131
Substitute y value in one of the equation above:
x = 2(131)
x = 262
Domain and range of what? im not seeing a set of numbers id be happy to help tho
Answer:
x = 12.5
Step-by-step explanation:
By Pythagoras'
16² = 10² + x²
x² = 16² - 10²
x = √(16² - 10²)
x = 12.489...
x = 12.5 (nearest tenth)
We have to prove that 
is irrational. We can prove this statement by contradiction.
Let us assume that is a rational number. Therefore, we can express:
Let us represent this equation as:
Upon squaring both the sides:
Since a has been assumed to be rational, therefore, 
must as well be rational.
But we know that 
is irrational, therefore, from equation 
the expression must be irrational, which contradicts with our claim.
Therefore, by contradiction, is irrational.
