You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the original drawing, the length of a segment is 9 centimeters. How long should the segment representing the same distance be in the new drawing?
The segment should be ?centimeters long.

Answers

Answer 1

Answer:

The segment should be 36 centimeters long

Step-by-step explanation:

Let us use the ratio method to solve the question

The original scale is 1 cm : 8 m

∵ In the original drawing, the length of a segment is 9 centimeters

→ By using the ratio method

→  cm   :  m

→  1      :  8

→  9     :  x

→ By using the cross multiplication

1 × x = 9 × 8

x = 72 m

The actual length of the segment is 72 m

The new scale is 1 cm : 2 m

∵ The actual length of the segment is 72 m

→ By using the ratio method

→  cm   :  m

→  1      :  2

→  y      :  72

→ By using the cross multiplication

y × 2 = 1 × 72

∴ 2y = 72

→ Divide both sides by 2 to find y

y = 36

∴ The drawing length of the segment is 36 cm in the new scale

The segment should be 36 centimeters long


Related Questions

Find the distance between (-6, -10), (-2,-10).
Round to the nearest tenths place.

Answers

Answer:

the distance between these two points is 4

Step-by-step explanation:

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

f(x) = 2.25x + 5
f(x) = 5x + 2.25
f(x) = 2.25x − 5
f(x) = 5x − 2.25

Answers

it’s the first one f(x)=2.25x+5

Answer:

A. f(x) = 2.25x + 5

Step-by-step explanation:

did it on edge 2020

Let F = (2, 3). Find coordinates for three points that are equidistant from F and the y-axis. Write an equation that says P = (x, y) is equidistant from F and the y-axis

Answers

Answer:

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

Step-by-step explanation:

Let [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) =(0, y')[/tex], where [tex]P(x,y)[/tex] is a point that is equidistant from F and the y-axis. The following vectorial expression must be satisfied to get the location of that point:

[tex]F(x,y)-P(x,y) = P(x,y)-R(x,y)[/tex]

[tex]2\cdot P(x,y) = F(x,y)+R(x,y)[/tex]

[tex]P(x,y) = \frac{1}{2}\cdot F(x,y)+\frac{1}{2} \cdot R(x,y)[/tex] (1)

If we know that [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) = (0,y')[/tex], then the resulting vectorial equation is:

[tex]P(x,y) = \left(1,\frac{3}{2} \right)+\left(0, \frac{y'}{2}\right)[/tex]

[tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex]

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

If we know that [tex]y_{1}' = -3[/tex], [tex]y_{2}' = 0[/tex] and [tex]y_{3}' = 3[/tex], then the coordinates for three points that are equidistant from F and the y-axis:

[tex]P_{1}(x,y) = \left(1,\frac{3+y_{1}'}{2} \right)[/tex]

[tex]P_{1}(x,y) = (1,0)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3+y_{2}'}{2} \right)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,\frac{3+y_{3}'}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,6 \right)[/tex]

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

2√(1.5+√2)-(1.5+√2)​

Answers

Answer:

Step-by-step explanation:

0

2 (9r + 3) 77 > 10r
10r - (12r +9 )

Answers

Answer:

Your answer is: ↓

[tex]2 (9r + 3) 77 > 10r[/tex]        =         [tex]2=\\9r+3=9r+3\\77>10r=9r+3[/tex]

[tex]10r-(12r+9)\\=2r-9\\[/tex]

If you are trying to solve those equations at one time your answer is: ↓

[tex]2(9r+3)77>10r\\10r-(12r+9)[/tex]         =          [tex]2=\\9r+3=9r+3\\77>10r=9r+3\\10r-(12r+9)=-2r-9[/tex]

Step-by-step explanation:

Hope this helped : )

X-4y=28 in slope intercept form

Answers

Answer:

y = 1/4x - 7

Step-by-step explanation:

Slope intercept form is y=mx+b

To turn the equation into slope intercept you would have to re-arrange it making sure to do the same thing on both sides.

 x - 4y = 28

- x            -x

-4y = -x + 28

Now divide both sides by -4

y = 1/4x -7

If you have any questions let me know. Hopefully this helps and have a great day!

The equation x - 4y = 28 can be written in slope-intercept form as y = (1/4)x - 7.

Given is an equation x - 4y = 28, we need to convert this in slope-intercept form,

To convert the equation x - 4y = 28 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate the variable y.

Starting with the given equation:

x - 4y = 28

We can begin by moving the x term to the other side of the equation:

-4y = -x + 28

Next, we divide both sides of the equation by -4 to isolate y:

y = (-1/-4)x + (28/-4)

Simplifying further:

y = (1/4)x - 7

Now we have the equation in slope-intercept form, with a slope of 1/4 and a y-intercept of -7.

Learn more about slope-intercept form click;

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Please help!!!!!!!! #1

Answers

Answer:

its d , because your distributing the 5 into what's in the parenthesis .

A tire in Abduls car has just sprung a leak and is losing pressure at a rate of 5% every hour. If the tire pressure is currently 280 kilopascal, what will it be in 18 hours? If necessary round your answer to the nearest tenth

Answers

If it decreases at a rate of 5% every hour and you wanna know how much it decreases in 18 hours, multiply .05 by 18

.05•18=.9

Multiply 280, your initial number, by .9

280•.9=252

In 18 hours, the tire pressure will be 252 kPa

marking brainless!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Please help!!!!!!!!!​

Answers

Answer:

4/9

Step-by-step explanation:

When you square an entire fraction, both the numerator and detonator get squared as well.

Answer:

its too simple see

[tex] (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ [/tex]

hope it help.......(•‿•)

In order to write an equation in point-slope form, you need the point and a slope.
Group of answer choices

True

False

Answers

Answer:

true

Step-by-step explanation:

The answer would be true

evaluate the product of 12 and 2 minus the quotient of 45 and 5

Answers

13

The product of 2 numbers is when you multiply them together. 12x2=24

The quotient of 2 numbers is when you divide them. 45/5=9

24-9=13

The product of 12 and 2 minus the quotient of 45 and 5 is 84.

What is Expression?

An expression is combination of variables, numbers and operators.

we need to find  the product of 12 and 2 minus the quotient of 45 and 5

the quotient of 45 and 5, we can calculate it by dividing forty five divided by 5.

45/5 is 9

2 minus the quotient of 45 and 5

So subtract 2 from 9

9-2=7

Now  the product of 12 and 2 minus the quotient of 45 and 5.

12 is multiplied with seven

12×7

84

Hence, the product of 12 and 2 minus the quotient of 45 and 5 is 84.

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A right triangle with leg lengths of 4 and 3 units has to be positioned in the coordinate plane to write a coordinate proof. Which set of coordinates would make the prrof easier to complete.

Answers

Answer:

We recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Step-by-step explanation:

A right triangle is a triangle whose leg are orthogonal to each other, then we need to use a set of coordinates whose axes are orthogonal to each other. Hence, we recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Are the fractions equivalent?
1. 15/60=3/4
2. 2/5=24/144
3. 15/20=3/5

Answers

Answer:

nope

Step-by-step explanation:

15/60 = 3/12

2/5 = 24/60

15/20 = 3/4

Answer:

No

Step-by-step explanation:

None of these fractions are equivalent because of you simplify them you wouldn't get the same number.

Please Help Me Due Today!! Major points!!!
Identify two or more drawbacks/cons of having one-way streets within a grid street system.

Answers

Answer:CASE #1 - Divergent and convergent one-way

residential streets to reduce direct through

routes impacting the neighborhood.

CASE #2 - Alternating one-way streets throughout a

portion of a grid system to gain safety

advantages of one-way operations.

CASE #3 - Creating a one-way couplet by paring a

residential street with a nearby thru street to

create a corridor for thru traffic

Step-by-step explanation:

can i get more context on it ? like is there a picture or anything ??

please help asap! xoxo

Answers

Answer:

First one obv false

the second one since they all times 3/4 so yes

Write the following as a product and as a sum: double the expression 3.6x - 2.5?

Answers

Answer:

7.2x-5

Step-by-step explanation:

2(3.6x-2.5)

=7.2x-5

PLS GIVE BRAINLIEST

What is the equation of the quadratic function represented by this graph?
+10
+5
-10
-5
5
10
-5
.-10

Answers

can you put a picture of the graph please

Find two numbers with a sum of 16 and a difference of 4.​

Answers

Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

[tex]\longrightarrow\sf x+y=16 [/tex]

[tex]\longrightarrow\sf x-y=4[/tex]

add them

[tex]\longrightarrow\sf 2x=20 [/tex]

[tex]\longrightarrow\sf x=10[/tex]

Substitute the value in eq (1)

[tex]\longrightarrow\sf 10+y=16 [/tex]

[tex]\longrightarrow\sf y=6 [/tex]

numbers are 6 and 10

use the long division algorithm to find the decimal value of -3/4.need help please answer.​

Answers

Answer:

-0.75

Step-by-step explanation:

8. Find the quotient: 575 ÷ 2.5=________.

9. What is 319 divided by 14.5?________

10. What is the quotient when you divide 641.97 by 21?_________​

Answers

Answer:

8. 230

9. 22

10. 30.57

8. 230

9. 22

10. 30.57

Hope this helps!

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. plse be QUICK

Answers

Answer:

1135.38

Step-by-step explanation:

Original amount  = 1015;

First decrease = 6%

Followed by an increase  = 19%

Unknown:

Final amount:

Solution:

If 100% of a value implies multiplying by 1;

        6% decrease  = 0.94

        19% increase  = 1.19

Now;

Final amount  = 1015 x 0.94 x 1.19  = 1135.38

What is a single equivalent percentage change for a 40% decrease followed by a 20% decrease

Answers

Answer:

200

Step-by-step explanation:

which number in scientific notation represents 9,832,000?

Answers

9.832*10^6 is the scientific notation

Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.

How many pints of blueberries did Sarah and her friends eat?

Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer:

1 5/12

Step-by-step explanation:

subtract 3 3/4 - 2 1/3 and you get 1 5/12

Answer:

17/12

Step-by-step explanation:

I turned the two fractions into improper fractions and made them have the same denominators. Then I subtracted.

Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes

Answers

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

help please brainliest if correct

Answers

Answer is d>-9
Answer is open circle to the right(o—>)

If a circle has a radius of 2.7 meters, what is its circumference
rounded to the nearest meter?

Answers

Answer:

17 meters

Step-by-step explanation:

the circumference is solved by multiplying the diameter by pi.

the diameter can be found by multiplying the raduis by 2

the diameter is 5.4

5.4 x 3.14

16.956

about 17 meters

Answer:

17[tex]m^{2}[/tex]

Step-by-step explanation:

The cirfumference of a circle when given the radius is 2πr

So pi is 3.14 thus:

2 × 3.14 × 2.7

16.956 [tex]m^{2}[/tex]

When rounding of to the nearest meter check if the number in the tenths side is bigger than 5. It is bigger so we add 1 to the units making it 17[tex]m^{2}[/tex].

HOPE THIS HELPED

What is similar about the Hebrew Bible and the Epic of Gilgamesh?

Both books believed in many gods.
Both books were used by the Israelites.
Both books were originally written on papyrus.
Both books use stories as guidance to life.

Answers

Answer:

Both books use stories as guidance to life.

Step-by-step explanation:

The Hebrew Bible teaches that there is one God.

The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.

The Epic of Gilgamesh was not written on papyrus

Therefore the only answer that it can me is the final one.

Answer:

D                   ☝

Step-by-step explanation:

Both books was used as a guidance of life and their beliefs.

Hope this helps!

The ratio of y to x is 21 to 7. If x is 10, what is the value of y?
A)3
B) 30
C) 70
D) 210

Answers

Answer:

The answer is 30, or B. If you neee an explanation let me know

Answer:

B

Step-by-step explanation:

This is because Y is exactly 3 times the amount of x so 10x3= 30

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