chimaifesinachi535 chimaifesinachi535
  • 04-07-2022
  • Mathematics
contestada

On a map of scale 1:20000 the area of a forest is 50cm^2.On another map the area of the forest is 8cm^2.Find the scale of the second map.

Respuesta :

mtngkhoi
mtngkhoi mtngkhoi
  • 04-07-2022

Answer:

The answer is 1: 50000... If you look down here↓:

Step-by-step explanation:

With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.

50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.

Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.

Therefore the scale on the second map is 1: 50000.

Answer Link

Otras preguntas

What is the average rate of change of the function f(x)=20(1/4)× from x=1 to x=2
In Heather's physics class, she had to solve the equation 7=12at2+ut for u. Which equation correctly solves for u?
how do i write the equation for slope:1/4, y intercept:-5
We have seized control of the "means of production" for the working people what type of government is this?
which act will the person be punished by trying to obtain personal information employees illegally?
What size is the television screen shown in the illustration? Find if 20 in. and 15 in. ?
C7H16+O2-----> CO2+H2O
Describe how sex-linked genes are expressed differently in males and in females
Jonathan must determine the solutions of the quadratic equation 0=3x^2+2x+1 Which of the following is a solution to the equation?
El niño _______________ del segundo piso. a. huye b. cayó c. crecieron