The expression 3P2 can also be read as "permutation of 3 taken 2". This represents the number of ways in which the 3 items are arranged with the emphasis on the arrangement of the first two other items.
Answer:The length of each piece of fabric is 1/8 yards.
Step-by-step explanation:
Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.
An expression for the length, in yards, of each piece of fabric will be
Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes
y = x/2
Since x = 1/4
y =( 1/4)/ 2 = 1/4 × 1/2
y = 1/8
The length of each piece of fabric is 1/8 yards.
Answer:
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Step-by-step explanation:
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Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,
Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then
Take positive value x. You get
2. According to the previous theorem,
Then
Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then
This means that you cannot find solutions of this equation. Then CD≠2 cm.
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