All categories

3 years ago

The scale of a map is 1 : 25 000

Mathematics

1 answer:

Artyom0805 [142]3 years ago

7 0

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

You might be interested in

The function g is defined as follows for the domain given. g(x) = 2 - 2x , domain = \{- 1, 0, 1, 2\} Write the range of g using

Musya8 [376]

Explanation:

The function is given below as

$g(x)=2-2x$

The set of domains is given below as

$\lbrace-1,0,1,2\rbrace$

Step 1:

Put x=-1

$\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}$

Step 2:

Put x=0

$\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}$

Step 3:

Put x=1

$\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}$

Step 4:

Put x=2

$\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}$

Hence,

The range of g(x) using set notation will be

$\Rightarrow\lbrace4,2,0,-2\rbrace$

Hence,

The graph of g(x) is given below as

8 0

1 year ago

Solve following | 2x + 9 = 15

vivado [14]

Answer:

x₁ = 3

x₂ = - 12

Step-by-step explanation:

Hi there !

| 2x + 9 | = 15

1.

2x + 9 = 15

2x = 15 - 9

2x = 6

x = 6 : 2

x₁ = 3

2.

2x + 9 = - 15

2x = - 15 - 9

2x = - 24

x = - 24 : 2

x₂ = - 12

Good luck !

4 0

3 years ago

The radius of a circle is 7 miles. What is the circumference?

Fiesta28 [93]

The circumference is ~43.98 miles.

4 0

2 years ago

PLEASE HELP!!

Natasha2012 [34]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Simplify the equation

Arturiano [62]

Answer:

$\dfrac{16x^3-37x^2-16x+37}{x^2+2}$

Step-by-step explanation:

There aren't any factors that cancel (except 3x). The best you can do is multiply it out.

$\displaystyle\frac{\frac{3x^2-3}{x}}{\frac{3(x^2+2)}{16x^2-37x}}=\frac{3(x^2-1)}{x}\cdot\frac{16x^2-37x}{3(x^2+2)}\\\\=\frac{x(x^2-1)(16x-37)}{x(x^2+2)}=\frac{16x^3-37x^2-16x+37}{x^2+2}$

7 0

3 years ago