Answer:
The value of the new volume 'x' would be equal to 40.5 cm³.
Step-by-step explanation:
Given
- Dilation by a factor scale of 3/2.
We can determine the volume of the original prism by multiplying the area of the base by the height,
volume = (3 cm²)(4 cm) = 12 cm³
Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.
let 'x' be the volume of the new solid,
Multiply both sides by 12
cm³
Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.
(i) The scale factor is 6 because of the ratio between the 2 given corresponding sides.
I don't know the second part, but I hope this helps regardless.
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
Answer:
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Step-by-step explanation: