1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
d1i1m1o1n [39]
2 years ago
5

The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

(b) Calculate length of a road on the map which is 0.58 km. (c) Calculate, in km2, the ACTUAL area of a lake which is 12 cm2 on the map. (d) Calculate the area of a play field on the map which has has an actual area of 90 km2.
Mathematics
1 answer:
finlep [7]2 years ago
4 0

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

You might be interested in
Given the following formula solve for x2
amm1812
Solve for x2 by simpliflying both sides of the equation the isoalating the variable is

4 0
3 years ago
CHALLENGE QUESTION: Bruce orders the Fried Chicken dinner and a coke at the diner.
Tomtit [17]

Answer:

$14.24

Step-by-step explanation:

9.89+1.99=$11.88

11.88*1.07=12.71

12.71*1.12=$14.24

Hope this helps!

7 0
3 years ago
Write a whole number that rounds to 700,000 if we are rounding to the nearest hundred thousand.
sasho [114]
I think 1,000,000 or 800,000 
6 0
3 years ago
What are the next two numbers in this pattern? 3, â9, 27, â81, . . ?
hjlf
729, <span>â6561 is the answer</span>
4 0
3 years ago
Which number is NOT in the solution set of the inequality x &lt; 15?
Mrrafil [7]

Answer: it is 15

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Geometry help!! ASAP!
    9·1 answer
  • If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)
    12·1 answer
  • there are 25 students in mrs. venetozzi’s class at the beginning of the school year, and the average number of siblings for each
    11·1 answer
  • Select the prime number and multiply by 1000<br><br>4. 6. 7. 8. 15. 21
    8·1 answer
  • Find the mean of the following set of numbers. ​ ​ 8,5,9,5,5,7,3
    6·2 answers
  • If a fair die is rolled four times, which of the following is closest to the probability that at least one
    11·1 answer
  • 20 points plz help me out
    14·1 answer
  • What is the square root of 31
    10·1 answer
  • 3) The elevator in a large office building is not working so you start climbing the stairs. The first flight
    8·1 answer
  • Please help, i’ll give brainliest!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!