If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale factor used to draw the scaled copy

Answers

Answer 1

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5


Related Questions

PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form Convert y-6=-1/3(x-9) (point slope form) to standard form Convert 3x+y=9 (standard form) to slope intercept form

Answers

Answer:

Step-by-step explanation:

y=3x-14

standard  form : 3x-y=14 ( move variable together on one side )

convert y-6=-1/3 (x-9) to standard form :

first : y-6 = -1/3 x -1/3(-9)

y-6=-1/3 x +9/3

y-6=-1/3x+3

y+1/3x =3+6

y+1/3x=9 ( common denominator)

(3y+x)/3=9 ( cross multiplication)

3y+x=3(9)

3y+x=27

Convert 3x+y=9 (standard form) to slope intercept form (y=mx+b)

3x+y=9

y=-3x+9

Help, please find errors!

Answers

Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.

Solve for X X - 24 = 73 Question 6 options: 49 97 47 95

Answers

Answer:

x = 97

Step-by-step explanation:

X - 24 = 73

Add 24 to each side

X - 24+24 = 73+24

x = 97

[tex]\text{Hello! :D}[/tex]

[tex]\large\boxed{x = 97}[/tex]

[tex]\text{x - 24 = 73}[/tex]

[tex]\text{Solve for x by adding 24 to both sides:}[/tex]

[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]

What are the correct answers for this?

Answers

1) variable
2) value
3) absolute value (maybe)
4) natural numbers
5) whole numbers
6) integers

What would it mean if there was an outbreak of cholera? A. The disease has infected a few people spread out over a large distance. B. The disease has spread suddenly and rapidly. C. The disease has been eradicated or erased; it no longer exists. D. The disease has been controlled and is no longer a threat to humans. Please select the best answer from the choices provided A B C D

Answers

Answer:

I think that it is B because its the only answer that makes sense

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

list a least two metric units that you can use to measure volume

Answers

Answer:

1-Rectangular prism

2-cube

Step-by-step explanation:

Rectangular prism - Multiply the measurement of the length times the width, then times the height.

Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

pt=3x9 and tq=5x-7 because i have no idea what it is

Answers

Answer:

i have the same question on my worksheet

Step-by-step explanation: its super hard need help too

4x3 =
A) 12
B) 35
C) 15​

Answers

Answer:

12

Step-by-step explanation:

4x3=12

The answer is A, 12.

For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)

Answers

Answer:

-x² + 2x + 8

Step-by-step explanation:

Essentially we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)

Distribute the negative:

(2x + 1) - x² - (-7) = (2x + 1) - x² + 7

Combine like terms:

2x + 1 - x² + 7

-x² + 2x + 8

Thus, the answer is -x² + 2x + 8.

~ an aesthetics lover

what is 63,120,000 written in scientific notation

Answers

6.3120000 × 10^7 I’m pretty sure that the correct answer

Writing a number in scientific notation involves writing the number to the appropriate power of 10. Hence, the number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]

Given the number : 63,120, 000

63,120,000 = 6312 × 10000

6312 = 6.312 × 1000

63,120,000 = 6.312 × (10000) × (1000) = 6.312 × 10000000

We can expressed the value to the power of 10 thus :

6.312 × 10000000 = 6.312 × [tex]10^{7} = 6.312 \times 10^{7} [/tex]

Therefore, the Number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]

Learn more : https://brainly.com/question/18405415

BRAINLIEST TO THE FIRST 2 TO ANSWER

Answers

Answer:

ab + b²-ac-bc

b(a+b) -c(a+b)

(a+b) (b-c)

Step-by-step explanation:

Answer:

C. (b-c)(a+b)

Step-by-step explanation:

This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.

(b-c)(a+b) expanded:

ab +b^2 -ac -bc

Hope this helped!

Which equation could you use to solve for x in the proportion 4 over 5 = 9 over x ?

Answers

Step-by-step explanation:

4/5 = 9/x

x(4/5)= 9

4/5x = 9

×5/4 ×5/4

x=11.25

2d + 3 ≤ –11 or 3d – 9 > 15?

Answers

Answer:  d≤-7 and d>8

Step-by-step explanation:

3d - 9 >15 answer is d>8 and 2d + 3 ≤ -11 is d≤-7

Can someone please check this chart I made for me? ​

Answers

Seems good to me! Have a good day!

Answer:

I think it's great.

Good job!

Need help ASAP! 20 points:)))

Answers

Answer:

Addition Property of Equality

If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.

URGENT PLS HELP

BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.

Answers


Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.


Sorry I also need help with this question

Answers

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

A bakery can make 21 cheesecakes for every 7 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses? A B Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 21 7 21 7 28 14 24 8 35 21 27 9 с D Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 3 1 3 1 4 2 6 4 5 3 9 7​

Answers

Answer:

it would be D me child

Step-by-step explanation:

F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)

Answers

Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17

3. What is the slope of the line x = -5? (1 point)
O Undefined
O 0
O -5
O 5

Answers

Answer:

slope is undefined

Step-by-step explanation:

x = - 5 is the equation of a vertical line, parallel to the y- axis.

The slope of a vertical line is undefined.

Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

3x/10 - y/10 = 1

Step-by-step explanation:

(y-2)/(x-4)=3

y-2=3x-12

y-3x= -12

3x/10-y/10=1

Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5

Answers

Answer: A) 10
4+8+21+9+12+6=60
60/6= 10
To find the mean, you’ll add all the numbers and then divided be however many there are.

12 more than quotient of a number k and 5

Answers

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

To learn more about equation:

https://brainly.com/question/4915174

#SPJ2

(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)

Answers

Answer:

  2.9403×10^15

Step-by-step explanation:

Your calculator can work this out for you.

  [tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]

__

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

Additional comments

You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:

  8.91×10² = (8.91/10)(10×10²) = 0.891×10³

I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.

Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.

Answer:

 2.9403×10^15

Step-by-step explanation:

i took the unit test

applying the properties of operations, what is the value of the expression?

Answers

Answer:

What expression are we supposed to be answering this for?

Answer:

i think it is 3.875

Step-by-step explanation:

i'm so sorry if it's incorrect; good luck anyways :)

Pleaseeeeeee Help meee :(((((
(30 points)

Answers

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

Solve the equation for the variable.

[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP

Answers

Answer:

1.4

Step-by-step explanation:

you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms

Answer:

1.4

Step-by-step explanation:

You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy

Answers

Answer:

6 movies

Step-by-step explanation:

45-30=15 spent on movies

divide the 15 by 2.5 to get 6.

$30+$2.50m=$45

where m is the amount of movies

Answer:

let he purchaseed x movies

30 + 2.5x = 45

or 2.5x = 15

x=15/2.5 =6

Step-by-step explanation:

(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)

Answers

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

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