Answer:
s₁ > s₂
Is accurate comparison
Step-by-step explanation:
If we have two different point for a straight line the slope of such line is given by:
P₁ = ( x₁ , y₁ ) P₂ = ( x₂ , y₂ )
The slope of the line is
s₁ = (y₂ - y₁ ) / ( x₂ - x₁)
Then for the pairs of points:
P₁ (2 , 50 ) and P₂ ( 4 , 100)
y₂ - y₁ = 100 - 50 ⇒ y₂ - y₁ = 50
and
( x₂ - x₁ ) ⇒ 4 - 2 = 2
Then
s₁ = 50/2
s₁ = 25
In the second case
Points
P₁ ( 2 , 40 ) P₂ ( 4 , 80 )
s₂ = (y₂ - y₁ ) / ( x₂ - x₁)
y₂ - y₁ = 80 - 40 = 40
x₂ - x₁ = 4 - 2 = 2
s₂ = 40/2
s₂ = 20
Then
s₁ > s₂
Is accurate comparison
Answer:
cylinder has greatest volume
Step-by-step explanation:
solution
given,
radius of cylinder(r)=6cm
height of cylinder (h)=6cm
we know,
volume of cylinder=πr^2h
=22÷7×6×6×6
=4752÷7
=678.857cm^3
radius of cone(r)=6cm
height of cone(h)=12cm
we know,
volume of cone=1÷3πr^3
= 1÷3×22÷7×6×6×6
= 4752÷21
=226.2857cm^3
as a result,cylinder has greatest volume
Answer:
Poor Alex, I know how they feel, I got a dog myself.
The amount of time between
11:41 pm to 12:09 am is
19 minutes (to 12 am, 60 minutes to next hour) + 9
which is 28 minutes for the first dog barking session
the second time is 35 minutes,
using same method as before.
adding the two separte barking sessions we get
35+28= 63 minutes
which is equivelant to 1 hour and 3 minutes.
In conclusion the dog barks for 1 hour and 3 minutes in total.
