Roberto must make his costume for his school play. He needs a piece of fabric that is 2 2/3 yards long and 1 1/2 yards wide. Wha
1 answer:
Answer:
He will need 8.34 yards of fabric.
Step-by-step explanation:
Given that,
The length of the fabric, l = 2 2/3 yards = 8/3 yards
The width of the fabric, b = 1 1/2 yards = 3/2 yards
We need to find the piece of fabric Roberto needs. It is equal to the perimeter of the fabric such that,
So, he will need 8.34 yards of fabric.
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Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
= x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.