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fgiga [73]
3 years ago
9

James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to

tal to go around all
four sides of his yard?
O 10 ft
O 20 ft
O 40 ft
O 80 ft
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

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The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
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Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
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A survey found that 35% of callers complain about the service they receive from a call center. Assume that the events of differe
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Answer:

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Step-by-step explanation:

It follows from the question that the probability of a complaint is 35% = 35/100 = 0.35. Let's call this probability, p.

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The distribution is a binomial distribution.

Events of each call are independent.

The probability of 2 calls with complaint out of 5 is

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6 0
3 years ago
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