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Julli [10]
3 years ago
15

The length of Mississippi River is 3,730 km. What is the scale of the map if the length of Mississippi River on the map is 37.3

cm. (1 km=1000m, 1m=100 cm)
Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

100 kilometers per centimeter.

Step-by-step explanation:

We are given that,

Length of Mississippi River = 3,730 km.

The scale is required to find if the length of the river is given 37.3 cm.

Thus, the scale of the map is given by,

\frac{3730}{37.3} = 100

Hence, the scale of the map is 100 kilometers per centimeter.

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

6 0
3 years ago
Help me please with this question
Schach [20]
The answer is B
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3 years ago
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8x + y 17<br> 4x + 3y - 31
Vladimir [108]

1) 8x+y\cdot \:17:\quad 8x+17y

2) 4x+3y-31:\quad 4x+3y-31

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2 years ago
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kow [346]

The point slope form of a line is written as y - y1 = m(x -x1)

Where m is the slope and x1 and y1 are the points on the line.

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x1 is 2 and y1 is -1/2

Replace those in the equation to get:

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Simplify to get the final answer:

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Answer:

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