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Svetllana [295]
2 years ago
8

Lisa is cutting a 14-inch piece of paper into 0.4-inch strips. How many strips of paper will she have when she is finished?

Mathematics
2 answers:
BartSMP [9]2 years ago
8 0

Answer:  2. 35

Step-by-step explanation:

Given : Lisa is cutting a 14-inch piece of paper into 0.4-inch strips.

The number of strips of paper she will have when she is finished will be :-

\dfrac{14}{0.4}=\dfrac{14\times10}{4}=35

Therefore, the number of strips of paper she will have when she is finished = 35

QveST [7]2 years ago
5 0
35 pieces since 14/.4 is 35.
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If x^2+y^2=1, what is the largest possible value of |x|+|y|?
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If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).

Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).

If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.

• Case 1: suppose <em>x</em> < 0. Then

<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = -1/√2   →   <em>y</em> = ±1/√2

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<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)

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