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Marianna [84]
3 years ago
12

 A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest

stops equally spaced on the​ highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new​ map?
(nvm)
Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

The answer is "0.975"

Step-by-step explanation:

Please find the complete question in the attched  file.

Find the remaining distance inside the original map

\to \frac{9}{6}=1.5  \ in

Dividing the value by 6 because there are 7 rest stop:

\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to  x=29.25 \ miles

Finding the diatance of the rest stop in the new map

Using proportion:

\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to  x= \frac{29.25}{30}\\\\\to  x=0.975 \ in

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Given Information:

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Step-by-step explanation:

We are given two points,

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We are asked to find the distance between these two points.

The distance is given by

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }

Substitute the given coordinates into above equation

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

7 0
3 years ago
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1) Ethan put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the C
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Answer:

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3 years ago
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