We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere
if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere
if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere
examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area
2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area
3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is < surface area
60 divided by 5 would equal for your answer to be 12
You reduce 24/36. 12/18, 6/9, 2/3
Answer:
Eudora ran for 30 minutes and use the jetpack for 1 hour and 30 minutes
Step-by-step explanation:
Lets call x the time she ran and y the time she was using a jetpack (in hours), we have
12x + 76y = 120
Since it took 2 hours we have that x+y = 2, hence y = 2-x. We can replace y in the equation above, obtaining
12x + 76(2-x) = 120
12x+ 152 - 76x = 120
12x-76x = 120-152
-64x = -32
x = -32/-64 = 1/2 (30 minutes)
As a result
y = 1-1/2 = 3/2 (1 hour, 30 minutes)
She ran for 30 minutes and use the jetpack for 1 hour and 30 minutes.
The hypotenuse is 13.
The hypotenuse is the longest side of a right angled triangle
