Answer:
A kilometer is 10⁶ times as large as a millimeter.
Step-by-step explanation:
In the metric system first we have: millimeter, centimeter, decimeter and meter. Each one of these is 10 times the other (1 centimeter is 10 millimeter, 1 decimeter is 10 centimeter, 1 meter is 10 decimeter). Therefore, 1 meter is 10x10x10 millimeter = 1 meter is 1000 millimeters.
But we know that 1 km is 1000 meters,
Therefore, 1 km = 1000 meter = 1, 000,000 milimeter = 10⁶ milimeter
So then, we have that 1 kilometer is 10⁶ as large as a milimeter.
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
