Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Answer:
Check pdf
Step-by-step explanation:
Answer:
more water could be added to the container before the container overflows
Step-by-step explanation:
The volume of the rectangular container is got by multiplying its given dimensions: Length X breadth X height
This will be 30 X 20 X 24 = 
To find the volume of water inside the rectangular container, we will use the new height for our computation of volumes, keeping the length and breadth of the cylinder the same.
This will be 
The volume of water needed to be added until the container overflows will be got by subtracting the volume of water present in the container from the total volume of the container

Note 1 
Answer:
2.5 ft
Step-by-step explanation:
The figure for the given scenario is shown below.
There are two right angled triangles, ΔACD and ΔBCD
The height of flag staff is represented by segment AB, BC is the height of pedestal stand , D is a point on the ground that makes angles 30° and 60° with the bottom and top of staff at B and A respectively.
AB = 5 ft. Let the height of pedestal stand be
ft and the distance of point D from the bottom of stand be
ft as shown in the figure.
Now, from ΔACD,

From ΔBCD,

Plug in the value of
in the first equation and solve for
.
.
Therefore, the height of the pedestal stand is 2.5 ft.
Answer:
the answer is the first one. i just did it and double checked
Step-by-step explanation: