This kind of hard to explain without an example, so I'll do my best...
All you have to do is isolate a variable on one side of the equals sign without a coefficient. Ex: x=2y+3 The x is all alone and ready to go into the second equation.
Substitute into the second equation. Ex: 2x+5=3 Substitute: 2(2y+3)+5=3
I hope this helps!
Answer:
3/8 π radians
Step-by-step explanation:
The Area of a sector when then central angle is in radians = 1/2r² θ
Where
θ = central angle = ?
r = 16 cm
Area of the sector = 48πcm²
Hence
Central angle = Area of a sector ÷ (1/2r²)
= 48πcm² ÷ (1/2 × 16²)
= 48πcm² ÷ 128
Central angle = 3/8π radians
Therefore, Central angle = 3/8π radians
Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
= 4/3 feet
Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
= 13 2/4
As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
