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I am Lyosha [343]
3 years ago
6

A criminal has escaped in a train wreck. The police believe he could have traveled no more than 7 mi in any direction from the w

reck. How many square miles must be searched
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

A = 153.94 sq mi

Step-by-step explanation:

In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following

A = \pi r^{2}

A = \pi 7^{2}

A = \pi 49

A = 153.94 sq mi

A total of 153.94 square miles must be searched.

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In your own words, describe the axes of the coordinate plane.
ira [324]

Answer:

The x-axis is always the the horizontal axis which represents the independent variable

The y-axis is always the vertical axis which represents the dependent variable

Hope this helps!

8 0
2 years ago
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Earning $80,000 a year. What is your monthly income?
aleksklad [387]
80,000 per year....there are 12 months in a year

80,000 / 12 = 6666.67 per month
6 0
3 years ago
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The area A, in square meters, of a rectangle with a perimeter of 60 meters is given by the equation A = 30w − w2, where w is the
Delvig [45]

Answer:

Step-by-step explanation:

The area is given in two ways:  1) as a formula:  A = 30w - w^2, and 2) as a specific numerical value:  A = 200 m^2.

Equating these, we get:

A = 200 m^2 = A = 30w - w^2

Rewriting this equation in the standard form of a quadratic function:

-30w + w^2 + 200 m^2 = 0

or  w^2 - 30w + 200 = 0, which in factored form is (w - 10)(w - 20) = 0.

Then w = 10 and w = 20.

The perimeter of the rectangle is P = 60 m, and this equals 2w + 2l.  Therefore, 30 m = w + l, or l = 30 - w.  

We have already found that w could be either 10 or 20.

If w = 10, then l = 30 - 10 = 20, and the perimeter would thus be:

P = 2(10) + 2(20) = 20 + 40 = 60.

This satisfies the constraints on w.

The width of the rectangle is 10 meters.  The length is 20 meters.

5 0
3 years ago
Write each mixed number as m/n in simplest form where m/n are integers 7 7/9
Svetach [21]
70/9

7 is equivalent 63/9, and then you add 63 and 7 to get 70/9
6 0
3 years ago
Pls help I’ll brainlest for correct answer you gotta graph it on the graph too
Ipatiy [6.2K]

Answer:

Slope: -2/3

Y Intercept: 0,-3

Step-by-step explanation:

To find the slope, use the formula (y1-y2)/(x1-x2)

(1-(-1))/(-6-(-3))

-2/3

So the slope is: -2/3

If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)

y = -2/3x + b

insert any point of x and y

-1 = -2/3(-3)+b

-1=-2+b

so b = -3

thus, the Y intercept is 0,-3

See graph attached for graph

4 0
2 years ago
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