Answer:
<em>72,000cm³</em>
Step-by-step explanation:
Volume of the rectangular tank = Length * Width * Height
Given
Length = 50cm
Width = 30cm
Height = 60cm
Get the volume:
Volume = 50*30*60
Volume = 90,000cm³
Hence the volume of the rectangular tank is 90,000cm³.
If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:
Amount transferred = 1/5 * 90,000
Amount transferred = 18000cm³
Amount left in the tank = 90,000 - 18,000
<em>Amount of water left in the tank = 72,000cm³</em>
We have been given a quadratic function
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is
.
If we restrict the domain of this function to either
or
, it will become one to one function.
Let us know find its inverse.

Upon interchanging x and y, we get:

Let us now solve this function for y.

Hence, the inverse function would be
if we restrict the domain of original function to
and the inverse function would be
if we restrict the domain to
.
Answer:
answer below
Step-by-step explanation:
ABCDE go through dilation over center (6 , -2) with factor of 1/2 to FGHIJ
AB // FG slope: -2 , √20:√5 = 2: 1
BC // GH // X axis 8:4 = 2:1
CD // HI, slope= 1 , √8:√2 = 2:1
DE // IJ // x axis, 4:2 = 2:1
EA // JF // y axis, 2:1