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

pls help me with thu question​

Answers

Answer:

u r girl

khdlhdohdkhdohdohdlgdogdkgdkgdkgskgdkgskgskydoysoydoydoydoydoydlydoydoydoydpydoydpyd

What is the image point of (0,1) after a translation right 5 units and up 5 units

Answers

Answer:

5, 6

Step-by-step explanation:

Answer:

5,6

Step-by-step explanation:

Evaluate 3|-3|. helppppppppppp

Answers

Answer:9

Step-by-step explanation:when an absolute value has a negative it turns to a positive which makes this problem 3x3

Answer:

9

Step-by-step explanation:

3×-3= -9

absolute value of -9 is 9

what is the value of x if segment BC is 2x+4 and line Ac is 24

Answers

Greetings from Brasil

Let us call the distance AB of Y (in the problem nothing is said about this dimension, so lets call of Y).

From the attached drawing we can conclude that:

AB + BC = AC

where

  AB = Y

  BC = 2X + 4

  AC = 24

then

AB + BC = AC

Y + (2X + 4) = 24

X = (20 - Y)/2

In my view this question is incomplete

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.

Answers

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

Is 7, 695 divided by 855 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative will always be negative.

Answer:

if they are both positive its positive

if ones positive and ones negitive its negative

if they are both negative its positive

Step-by-step explanation:

1) Which expression represents the area of the
frame in square inches?

Answers

12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The area of the two squares can be written as,

Area of the larger square = 12²

Area of the smaller square = s²

Now, The area of the frame

= Area of the larger square - Area of the smaller square

= 12² - s²

Hence, the expression represents the area of the frame in square inches is 12² - s².

Learn more about Expression:

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how do I isolate V1 in this equation ​

Answers

[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]

Let's start off by multiplying each side by [tex]T_{1}[/tex]

[tex]P_{1}V_{1} } = \frac{P_{2}V_{2} T_{1} }{T_{2} }[/tex]

Divide each side by [tex]P_{1}[/tex]

[tex]V_{1} = \frac{P_{2}V_{2} T_{1} }{T_{2}P_{1} }[/tex]

Given f (x) = 2x+1, find when f (x) = 9

Answers

Steps to solve:

f(x) = 2x + 1

~Substitute

f(9) = 2(9) + 1

~Multiply

f(9) = 18 + 1

~Add

f(9) = 19

Best of Luck!

Answer:

19

Step-by-step explanation:

substitute 9 in x and you get 18 then add 1 so total u get 19

Hope that helps :)

The endpoints of AB are at A(1, -6) and B(7,-3). Find the coordinate of the midpoint M of the
segment.

Answers

Answer:

(4,-9/2)

Step-by-step explanation:

(1+7/2,-6-3/2)

(4,-9/2)

Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob’s checking account?

Answers

Answer:

$702.53

Step-by-step explanation:

178.74

36,52+18.92+25.93=81.37

178.74-81.37=97.37

300+100+205.16=605.16

605.16+97.37=702.53

The final balance is 702.53 dollars.

a1= -26. d= 200
a(n)= ?

Answers

Answer:

a(n) = -26+(200n-200)

Step-by-step explanation:

The formula for arithmetic series is "Tn=a+(n-1)d

Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.

therefore,Tn= -26+(200n-200)...

Nb: This answer is Subjected to review, thanks.

A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Answers

Answer:

$4.43

I Hope This help :)

tell me if you need the step by step explaination because it so long long but if you need it i will try my best

Solve |7x+42| =14x. Identify the solution and an extraneous solution.

Answers

Answer:

x = 140.3333333........

Step-by-step explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer:

Solution: x = 6;

Extraneous Solution: x = - 2

Step-by-step explanation:

What value of x with make the equation below true?
1/2 (2x + 8) = 3x + 8 - x


Please help

Answers

Answer:

 

Step-by-step explanation:

​1/2 (2x+8)=3x+8−x

Use the distributive property to multiply 1/2=0.5 by 2x+8.

1/2 x 2x+1/2x8=3x+8-x

Cancel out 2 and 2.

x+1/2 ×8=3x+8−x

Multiply 1/2 =0.5 and 8 to get  8/2=4.

x+8/2=3x+8−x

Divide 8 by 2 to get 4.

x+4=3x+8−x

Combine 3x and −x to get 2x.

x+4=2x+8

Subtract 2x from both sides.

x+4−2x=8

Combine x and −2x to get −x.

−x+4=8

Subtract 4 from both side

−x=4

Multiply both sides by −1.

x=−4

What kind of transformation is illustrated in this figure?
O translation
.
O reflection
dilation
Orotation

Answers

Answer:

translation

Step-by-step explanation:

shape, size, measurement all stayed the same. they just moved locations :)

A student is trying to find the sum of 5/6 + 3/4 + 1/5 They first tried to use 24 as a common denominator. Why does 24 not work as a common denominator?

Answers

Answer:

24 does not work as a common denominator because it is not the Lowest Common Multiple of 6, 4 and 5.

Step-by-step explanation:

In that above question, we are told that:

A student is trying to find the sum of 5/6 + 3/4 + 1/5

Step 1

The first step would be to find the Lowest Common Multiple of the denominators (6, 4, 5).

Lowest Common Multiple can be defined as the number that is the lowest quantity of the multiple of 2 or 3 number.

The lowest common multiple for 6, 4, 5 = 60. This is that number that the 3 denominators can be divided in

Hence,

5/6 + 3/4 + 1/5

= 5 × 10 + 3 × 15 + 12× 1/60

= 50 + 45 + 12/60

= 107/60

= 1 47/60

24 does not work because it is not the Lowest Common Multiple of 6, 4 and 5.

The lowest common multiple for the 3 denominators = 60, therefore 60 should be used.

Find the slope and the y-intercept of the following equation y = - x/3 - 4

Answers

Answer:

The slope is -x/3 and the y-intercept is -4.  

Step-by-step explanation:

What is .33 converted to a fraction in simplest form

Answers

33/100 . It’s already in simplest form

Answer: 33/100

Step-by-step explanation:

.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.

FREE BRAINLIEST! Are waffles really pancakes with abs?​

Answers

are you ok

and yes

waffles are way hotter than pancakes sorry i dont make the rules here

yes they absolutely are ahahah

What is the answer when you Simplify 6(x + 4).

Answers

Answer:

6x + 24

Step-by-step explanation:

Distributive property: a (b + c) = ab + ac.

6 (x + 4) = 6x + 6(4) = 6x + 24.

D
Question 1
(02.03)
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement? (4 points)

Answers

???????????????????????

Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.

a.
3x + 5°
5x - 57°

Answers

Answer:

b

Step-by-step explanation:

Simplify the following: *
1
(18x – 24)
2x - 6
3x - 4
5x - 12
X-8
VA

Answers

1
6(3x-4)
2(x-3)
3x-4
5x-12
X-8
AV

which of these numbers is between 2 and -3 on the number line

Answers

1, -1, -2 are numbers between 2 and -3

Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is the stadium's maximum ingress throughput?

Answers

Answer:

10,800

Step-by-step explanation:

9*2= 18

18*600=10,800

10,800 is the stadium's maximum ingress throughput.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Woodley Stadium has nine gates with two ticket booths at each gate.

So, the total number of booth's at Woodley stadium = 9*2

the total number of booth's at Woodley stadium = 18

Since each ticket booth can process 600 fans per hour

Thus,

the stadium's maximum ingress throughput = 18 *600

the stadium's maximum ingress throughput =  10,800

Therefore, 10,800 is the stadium's maximum ingress throughput.

Learn more about Mathematical operations here:

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What is the mode of these numbers? 2, 5, 10, 16, 25, 30 Thanks! (will give brainliest)

Answers

Answer:

There is no mode for the given sets of data.

Step-by-step explanation:

The values given all appear once and mode is the number that appears the most in a given set of data.

Answer:

it's none cause all of them show the same number of times.

Step-by-step explanation:

Mode is asking what number out of all the numbers shows the most.

The value of the expression is

Answers

Steps to solve:

4 + (m - n)^4 when m = 7 and n = 5

~Substitute

4 + (7 - 5)^4

~Simplify

4 + 2^4

~Simplify

4 + 16

~Add

20

Best of Luck!

1st: plug in numbers
4+(7-5)^4
2nd: follow order of operations and you’ll end up with 4+2^4
3rd: 4+16=20

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. can yall pls hurry i need this right now

Answers

subtract 7 from -5

Step-by-step explanation:

Answer:

Subtract 7 from –5.

Step-by-step explanation:

I just took the test and it said that Subtract 7 from –5 was right

please help me?????/!!!!!!!!

Answers

This is so easy okay just make sure if it’s true or not
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