Answer:
90cm cube
Step-by-step explanation:
V= lbh
V= 6×3×5
V= 90cm cube
Answer:
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
Step-by-step explanation:
This question can be solved using a rule of three.
Each pint has 0.125 gallons. How many pints are 3 gallons?
1 pint - 0.125 gallons
x pints - 3 gallons
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
The first term of GP, a=4
Common ratio=
=
=-5
r=-5
nth term of GP, an=a
a8=4*
a8=4*
a8=4*-78125
a8=-312500
The normal vectors to the two planes are (3, 3, 2) and (2, -3, 2). The cross product of these will be the direction vector of the line of intersection, (12, -2, -15).
Using x=0, we can find a point on this line by solving the simultaneous equations that remain:
... 3y +2z = -2
... -3y +2z = 2
Adding these, we get
... 4z = 0
... z = 0
so the point we're looking for is (x, y, z) = (0, -2/3, 0). This gives rise to the parametric equations ...
- x = 12t
- y = -2/3 -2t
- z = -15t
By letting t=2/3, we can find a point on the line that has integer coefficients. That will be (x, y, z) = (8, -2, -10).
Then our parametric equations can be written as
- x = 8 +12t
- y = -2 -2t
- z = -10 -15t
