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lakkis [162]
3 years ago
15

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What

is the actual area of the park?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

Answer:

Actual area = 21600 Sq.miles

Step-by-step explanation:

We are given;

length; L = 4 inches

Width; W = 6 inches

The scale of the map; 1 inch for every 30 miles i.e. 1 : 30

Since the scale is 1:30, let's find the find the actual dimensions and then the actual area

For the Length,

Since 1 inch represents 30 miles,

Then, 4 inches = (4 × 30)/1 = 120 miles

For the width;

Since 1 inch represents 30 miles,

Then,6 inches = (6 × 30)/1 = 180 miles

Therefore, the actual dimensions are 120 miles and 180 miles

Now, formula for area of rectangle = length × width

Thus;

Actual area = 120 × 180

Actual area = 21600 Sq.miles

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Ricky Major
Assoli18 [71]

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

5 0
3 years ago
Describe a triangle for which the centroid, circumcenter, incenter, and orthocenter are the same point. What features of this tr
hjlf

Answer:

An equilateral triangle

Step-by-step explanation:

Because an equilateral has a feature that all sides have the same length and all angles are of the same, it does not matter from which side and peak the centroid, circumcenter, incenter and orthocenter is created, they would always end up at the same point.

3 0
3 years ago
Read 2 more answers
Tia cut a 4 meters and 8 centimeters wire in to 10 equal pieces. Marta cut a 540 centimeters wire into 9 equal pieces. How much
Black_prince [1.1K]
540/9 = 60cm

408/10 = 40.8

60-40.8 = 19.2cm longer
5 0
3 years ago
F(x)+2x^2-4x-3 g(x)=2x^2-16 find f(x)+g(x)
AveGali [126]
F(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16

f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19
3 0
3 years ago
Pleases show workkkkkkkkkkkkkkkk
melomori [17]

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

7 0
3 years ago
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