A map is drawn to a scale of 1 : 240 000.

(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map. ​

Answers

Answer 1

Step-by-step explanation:

Above are the explanations

A Map Is Drawn To A Scale Of 1 : 240 000. (i) If A Seawater Lake Has An Area Of 3.8 Cm On The Map, Find
Answer 2

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

How to estimate the area on the map?

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

To learn more about the area on the map

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Related Questions

Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode

Answers

Answer:

i guess that was

C

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

Please answer all these questions right I can’t do them ‍♀️
I will mark you as brainliest if you do!

Answers

Step-by-step explanation:

first take out graph paper then line it

sorry i don't have graph copy right now hope it work

There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library?

Answers

Answer:

7.1

Step-by-step explanation:

6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30

20 - 6 = 14

14 children have an average age of 8  14*8 =112 so the sum of their ages is 112

Add the two sums

30+112 = 142

Divide by the total number of children

142/20 =7.1

The average age of all the 20 children is 7.1

Answer: 7.1

Step-by-step explanation:

Please help ! I only have 30 more minutes

Answers

1.5 negative and negative

Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?

Fraction:_______

Answers

Answer:

17.5

Step-by-step explanation:

Half 37

Put into decimal

Answer:

Step-by-step explanation:

If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.

Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)

[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]

math problem i will give brainliest

Answers

Answer:

19.5

Step-by-step explanation:

The answer to the problem is 19.5 units

An airplane travels 1800 miles in 3 hours flying with the wind. On the return trip, flying
against the wind, it takes 4 hours to travel 20000 miles. Find the rate of the wind and the rate of the plane in still air.

Andrew and Michael are 15 miles apart. If they walk towards each other, they meet in 3
hours. If they both walk in the same direction, Michael overtakes, Andrew in 8 hours.
How fast does each boy walk?

Answers

Answer:

75 miles miles an hour. (First one)

5 mph for the second one.

Step by Step:

1800%2F3 = u + v   (1)  is the equation for the flight with the wind.

                     (Here "u" is the airspeed of the airplane with NO wind,

                           "v" is the wind speed)

1800%2F4 = u - v   (2)  is the equation for the flight against the wind.

Simplify equations (1) and (2) and write them as a system:

u + v = 600,           (1')

u - v = 450.           (2')

Now add the two equations (1') and (2'). You will get

2u = 1050  --->  u = 1050%2F2 = 525 miles per hour.

Having this, you can easily determine "v" from (1'):  

v = 600 - 525 = 75 miles per hour.

-----------------------------

Second one will be 15 divided by 3 = 5mph

Answer:

look at the picuture

Step-by-step explanation:

Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers

1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number

Answers

Answer:

option 3.

Step-by-step explanation:

alright, ima explain each option.

1. "smallest odd numbers" 2 is an even number. that's out of the playing field.

2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.

3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]

4. they do multiply to 30, but this does not help break the composite numbers down.

5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.

sub to gauthmath sub reddit if ya can !

They are prime numbers with nice divisibility rules

Question 14 (1 point)
A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this
pace, how many batches of cookies would they make in 12
hours

Answers

Answer:

150 = x

Step-by-step explanation:

We can use a ratio to solve

100 batches          x batches

------------------- = ---------------------

8 hours                12 hours

Using cross products

100 * 12 = 8x

1200 = 8x

Divide by 8

1200/8 = 8x/8

150 = x

Answer:

150

Step-by-step explanation:

Find how many batches in one hour

100/8 = 12.5

Multiply 12 hours with 12.5 batches

12 x 12.5 = 150

So, in 12 hours 150 batches are made.

please help me find what equals to x

Answers

the answer would be 2 i believe
10 ? it’s been awhile since i’ve done math but that side is longer than 12 and longer than the side of 5

Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]

Answers

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

[tex]n = 4[/tex]

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

The answer is D I just had this on a test.

I need help with this please!!

Answers

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

POINTS IF HELP!!! Please help me?

Answers

2.24 should be correct
i think it is 2.24 !!!!!!!

Mrs. Singh made 372 cookies to put in gift boxes. She will put 20 cookies in each box. How many cookies will be left over?

Answers

Answer:

12

Step-by-step explanation:

372 : 20 = 18 (rest 12)

check

18 * 20 + 12 = 372

12 will be left over.
20 times 18 = 360
372-360 = 12

Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty

Answers

‏Which of the following statements is generally true about change in the workplace ? a ) Most people accept change easily . b ) Smart companies can avoid change altogether . c ) Change in the workplace happens fairly infrequently d ) Individuals can learn to manage the change in their lives .

A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?

Answers

Answer: $4.5/hour

Step-by-step explanation:

Total earned in 6 hours subtracted tips equals wage over 6 hours.

Divide by 6 hours to find individual hourly wage.

Answer: $4.50 per hour

Step-by-step explanation:

First, find how much she earned, excluding the tips.

73-46= 27

She earned $27 in the 6 hours, without tips

To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.

27/6 = 4 dollars 50 cents.

explain how to find the difference between 9^10/9^11 and 9^11/9^10

Answers

Answer:

jhv

Step-by-step explanation:

kjbb

Please answer this question with any of the 4 choices i have been struggling with this

Answers

Answer:

Choice A. [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Turn the mixed numbers into improper fractions:

[tex]\frac{14}{9} /\frac{7}{3}[/tex]

Flip the second term and multiply:

[tex]\frac{14}{9} /\frac{3}{7}[/tex][tex]\frac{42}{63}[/tex]

Simplify:

[tex]\frac{2}{3}[/tex]

Answer:

A

Step-by-step explanation:

Tehira has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take to finish?

A. 20 + 110p = 290
B. 20p + 290 = 110
C. 110 + 20p = 290
D. 290 = 110 - 20p

Answers

Tehra has read (completed)=110Total pages=290

Pages left:-

[tex]\\ \sf\longmapsto 290-110=180[/tex]

She read everyday=20

Total days

[tex]\\ \sf\longmapsto \dfrac{180}{20}=9[/tex]

If days be p the equation will be

[tex]\\ \sf\longmapsto 20p+110=290[/tex]

the answer is C!!!!!!!!!!!!!

Rewrite 18y • 4x using the commutative property.

Answers

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

I think that the answer to the question is 72xy

Kindly Please Help....
You will need to make make a frequency distribution table and represent it in a bar graph creatively. (5 different forests in India)

Answers

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are green in any season

3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.

Step-by-step explanation:

so sorry this is all i could find

HURRY IM TIMED!! which inequality is represented by this graph?

Answers

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

HELP THIS IS DUE TOMRROW ANYWAYS THE QUESTION IS
find the coordinate of the midpoint of a segment with the given endpoints.
-7 and -3

Answers

This could be wrong because I'm going into the fifth grade but wouldn't it just be (7,-3)?

Answer: -5

Explanation:
The midpoint between -7 and -3 will be the center of the segment, which would be -5.

A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?

Answers

I found someone with the same question as you, good luck !
the person is travel 3 feet per second. and they will travel 30 feet in 10 seconds.

There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general admission tickets is 2490. The price of 6 grandstand tickets and 6 general admission tickets is 3540 . What is the price of each type of ticket?

Answers

General admission tickets are $287.50 each and grandstand tickets are $311.25 each

Answer: Grandstand: 360, General Admission: 230

Step-by-step explanation:

Use any variable you like but:

Let g represent grandstand ticketsLet a represent general admission tickets

You know:

5 Grandstand tickets and 3 general admission tickets is 2490:

5g + 3a = 2490

The price of 6 grandstand (g) tickets and 6 general admission tickets (a) is 3540

6g + 6a = 3540

You want to find out: What is the price of each ticket. To do this either use substitution or elimination.

I will demonstrate elimination:

To do elimination, you want to cancel out one variable. This means you want to multiply each side of the equation by a number. I see  3a and 6a. This means multiply by -2. Again, you want to eliminate the variable.

5g +3a = 2490 → -10g - 6a = -4980

Now, add the two equations together: Notice how you can line them up vertically to see how they can add together.

-10g - 6a = -4980+6g + 6a = 3540After that step you get: -4g = -1440

Now you can solve for the g (grandstand tickets):

-4g = -1440g = 360

You now know grand stand tickets cost 360. Take one of your original equations and solve for a (general admission tickets). To double check your work, they should satisfy both equations.

5g + 3a = 24905(360) + 3a = 24903a = 690a = 2306g +6a = 35406(360) +6a = 35406a = 1380a = 230

Therefore general admission tickets cost 230, and grandstand tickets cost 360!

The graphs of functions f(x) and g(x) = f(x) + k are shown below

what is the value of k?

Answers

Answer:

k = 2

Step-by-step explanation:

f(x) and g(x) = f(x) + k

G(x) is the function f(x) moved up k units

G(x) is moved up 2 units so k is 2

Answer:

The answer is k = 2. The value of k is 2.

Step-by-step explanation:

I hope this answers your question :) Have a great day :)

PLEASE HELP QUICK!
√9=?

Answers

Answer:

The square root of 9 is 3

Step-by-step explanation:

Calculator

Last week, Lamar had $983.45 in his checking account. Since then, he paid $214.67 for his car loan. He also donated $15 to the fire department. Then, Lamar deposited the $50 check his grandma sent him for his birthday. What is Lamar's balance now?

Answers

803.78

983.45 - 214.67 - 15 + 50

Answer:

$803.78

Step-by-step explanation:

983.45-214.67-15+50=803.78

Is it illegal in california to eat raw oranges in bathroom?

Answers

Answer:

nah it's illegal in cali to eat raw oranges in the bathtub, but im not sure if that's a real law

so i guess if ur on the toilet or smth you can eat it...but like why would you? like in the bathroom?

Answer:

No, it's not.

Step-by-step explanation:

It's not even a real law. People used to think that the citric acid coming from the orange would mix with bath oils and create an explosion. As it turns out, citric acid, obviously, does not cause any explosions when mixed with bath oils. It's just gossip.

does anyone on here use FLVS?? If so can u help with comprehensive science 5.06 conclusion part?

Answers

yes i can help ..................
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