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 length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
- 
, where
and 
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴ 
and 
∴ 
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
3(x+2)
3x+6
Step-by-step explanation:
We should multiply it by 3
Answer:
The system of linear equations is x + y = 64 and x = y + 14.
Given that,
The total number of students is 64 .
Here we assume the x be the number of students in filmmaking club .
And, y be the number of students in yearbook club.
Based on the above information, the calculation is as follows:
x + y = 64
And,
x = y + 14
Therefore,
We can say that
Number of students in yearbook club = 25
And, the number of students in filmmaking club = 39
