A scale of 1 cm to 8 km is used for a map.
(i) If a forest has an area of 5 cm² on the map, find its actual area.
(ii)
If the actual area of a park is 128 km², calculate its area on the map.​

Answers

Answer 1

Answer:

40 km^2

16 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual area = scale factor x scaled area

8 x 5 = 40 km^2

Scaled area on the map = 128.8 = 16 cm^2


Related Questions

Will GIVE BRAINLIST!

This table of values represents a linear function.

Enter the rate of change of this function.


Answers

Answer:
(x+2, y-6) or (x+1, y-3)

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Answers

Answer:

2x[tex]\sqrt{15}[/tex]

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{15}[/tex] · [tex]\sqrt{x^2}[/tex]

This can be simplified to be 2x[tex]\sqrt{15}[/tex]

Item 2
Which statements about liquid volume are true?

Select each correct answer.


One milliliter is 100 times smaller than one liter.

Liters are smaller units than milliliters.

Milliliters are smaller units than liters.

One liter is 1,000 times larger than one milliliter.

One milliliter is 100 times larger than one liter.

One liter is 1,000 times smaller than one milliliter.

Answers

Answer:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

The correct statements about liquid volume are:

1. One milliliter is 100 times smaller than one liter.

2. Milliliters are smaller units than liters.

3. One liter is 1,000 times larger than one milliliter.

1. One milliliter is 100 times smaller than one liter:

This statement is true.

Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.

2.  Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.

3. As mentioned earlier, there are 1,000 milliliters in one liter.

Therefore, one liter is 1,000 times larger than one milliliter.

4. Liters are larger units of measure compared to milliliters.

5. As explained earlier, one milliliter is 100 times smaller than one liter.

Learn more about Unit Conversion here:

https://brainly.com/question/31054078

#SPJ6

THE FIRSTT
ONE Plsss someone help me

Answers

The answer is 20%

30+60+30+30=150grams total
30grams cheese/150grams total= 0.20
0.20 as a percentage is 20%

Tim had $788 in his checking account. Then, he spent $135 from the account. How much money is left in Tim's checking account?

Answers

Answer:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653

Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary.

Answers

Answer:

18.84 units

Step-by-step explanation:

The question is incomplete, however, we can proceed with the given information

Given data

The expression for the circumference of a circle is given as

C= 2πr

Hence when we have a value for the radius say r= 3

Hence the circumference can be found as

C= 2*3.14*3

C= 18.84 units

Find the median and mean of the data set below:
21,0,36,30,13,32

Answers

Answer:

Mean: 22

Median: 25.2

Step-by-step explanation:

The mean is the sum of all the numbers in a set divided by the number of terms in a set.

The median is the middle value of the numbers when the numbers in a set are arranged from least to greatest. If there is two middle numbers, the median is the average of the two numbers.

I hope this helps!

So far this semester, Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester. What was the average of his scores last semester?

Answers

Answer:

Step-by-step explanation:

So far this semester, What was the average of his scores last semester?

Let us represent last semester average score as x

We are told that:

Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.

This is expressed Mathematically as:

63 = x - 10%

63 = x - 0.1

Collect like termd

x = 63 + 0.1

x = 63.1

Can anyon help me plzz...
Solve these order of operation:
A. (2.8+(-1^4)×(3.4^0-4×0.5)
B. 2.8÷(-3.1+5^2)
C. 15.3+3.1×4-8×(-0.6)​

Answers

Answer:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

The number of cats to the number of dogs owned by the students in a class is 5:3. There are 95 cats, how many dogs are there?​

Answers

57 dogs so it would be 95:57

The cereal box shown below is a rectangular prism.

Answers

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

Determine the value of the variable that makes the equation true. 12-b=12.5

Answers

Answer:

B = -.5

Step-by-step explanation:

If B is negative is cancels out the prexisting negative making it positive.

Find the area of the figure

Answers

Answer: 7500m

Step-by-step explanation:

HELP, it looks blurry sorryyy! 15 pointss

Answers

The first and last one are true!

Select all of the statements that are valid based on the survey results.

Answers

Answer:

all except the last one

Step-by-step explanation:

Are the given values in the table enough information to show an exponential function instead of a linear function? If not, explain why not then write the equations for both an exponential and linear function represented by the table.

Answers

I think this a linear function. The graph has a constant flow of going up. In other words, it is linear.

Please explain to me how to get the answer! I know it’s 1/16 but I don’t know how to get it. See picture below!

Answers

Answer:

Step-by-step explanation:

4³/ 4^5

64 / 1024

= 1/16

Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft

Answers

Answer:

It can be a right angle with hypotenuse 50 ft, adjacent 14 ft and height 48 ft

Use the proportion below to determine 30% of 20.

Answers

Answer:

x=6

Step-by-step explanation:

If anyone can solve this quickly I will give brainly

Answers

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

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

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

a point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.
(5,7)

Answers

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

PLEASE HELP FAST! WILL GIVE BRAINLIEST.

Answers

Answer:

..

Step-by-step explanation:

right and scalene

Answer:

E, F

Step-by-step explanation:

Because the triangle has a right angle, it is a right triangle. Also, because the triangle doesn't sides of equal length, the triangle is also scalene.

Pls someone help me with thissss plsss

Answers

Answer:

y = 5x -3

Step-by-step explanation:

slope = 5

y int = -3

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Using Pythagorean Theorem. It’s around 10.7

A triangle has sides of (2x), (x - 7) and (3x - 20).
(x - 7)
2x
(3x - 20)
(a)
Find an expression, in terms of x, for the perimeter of the triangle.
Give your answer in its simplest form.
The perimeter of the triangle is 87cm.
Work out the value of x.
(b)

Answers

2x+x-7+3x-20=87cm
6x-27=87
6x=114
x=19
Therefore the sides are:12cm, 38cm, and 37cm

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w Sal could make to break the record.

Answers

Answer:

Answer: 50x+100\geq18,00050x+100≥18,000

Let w denotes a seven letter word which Sal will need to make to break the record.

Since you get 50 points for each seven-letter and 100 points for playing the game.

Then the total points earned by you by making w seven letters words will be:

50x+10050x+100

Since, Sal wants to break that record, and needs 18,000 points or more to do so.

Then , the required inequality will be :

50x+100\geq18,00050x+100≥18,000

Why is this equation not valid? Please help

Answers

Answer:

not valid..

Step-by-step explanation:

I’m decent at math, but what is this

what is the measure of angle one

Answers

Angle one would be 61
The answer is 61 is the angle have a great day hun

help finding the circumference

Answers

Answer:

approximately equal to 72 centimeters

Step-by-step explanation:

The formula for the circumference of a circle is 2[tex]\pi[/tex]r.  

The formula for finding the radius with an arc and an arc length is 180 times l over [tex]\pi[/tex] times the angle.

[tex]\frac{3420}{298.45}[/tex] which is approximately equal to 11.46

11.46 is our radius so the circumference is 2[tex]\pi[/tex](11.46) or about 72

Find the cubes of the following numbers: a) 21 b) 55 c) 302

Answers

Answer:

a)9261

b)166375

c)27543608

Step-by-step explanation:

21 x 21 x 21 = 9261

55 x 55 x 55 = 166375

302 x 302 x 302 = 27543608

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