Answer:
The volume of a cone is 44π cm³.
Step-by-step explanation:
It is given that the volume of the cylinder is 132π cm³.
The volume of cylinder is
The volume of cone is
Where, h is height and r is radius.
It means if the radius and height of cone and cylinder are same, then the volume of cone is one third of volume of cylinder.
The volume fo cylinder is 132π cm³. So, the volume of cone is
Therefore the volume of a cone is 44π cm³.
The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
Learn more about direct proportion at:
#LearnwithBrainly
Answer:
x<-8 or x>1/5
Step-by-step explanation:
First we replace > symbol by = sign
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
10/9>0 is true , x>1/5 satisfies our inequality