A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?

Answers

Answer 1

Answer:it’s 4,000

Step-by-step explanation:

Answer 2

The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.

What is scale factor? How it is used in Dilating sides?

Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]

Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.

Now, after dilation the new dimensions will be -

Length = 3.5 x 80 = 280 cm

Width = 3.5 x 50 = 175 cm

The area in square centimeters of the dilated rectangle will be -

A[d] = 280 x 175 = 49000 square centimeters

Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters

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Related Questions

Jacob walks 1.5 miles north. He turns and walks 0.8 miles west. How far is he from his starting point?

Answers

Answer:

1.7 miles

Step-by-step explanation:

Given that,

Jacob walks 1.5 miles north.

He turns and walks 0.8 miles west.

We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :

[tex]x=\sqrt{1.5^2+0.8^2} \\\\x=1.7\ \text{miles}[/tex]

Hence, he is 1.7 miles from his starting point.

An 8th grade class project involves decorating a rectangular box with the following dimensions.

length: 12 inches

width:834 inches
​​​​​​​
height:1012 inches
​​​​​​​​​​​​​​

What is the total surface area of this box to the nearest hundredth?

Answers

Answer:1500

Step-by-step explanation: so i got the anwser 1539.2 and just rounded to the nearest hundredth which is 1500 hopefully it helps!

1
Find the value of the variables.
b
30°
a
12
60°
a-
b =

Answers

Answer:

a=6

b=10.39

Step-by-step explanation:

a=sin 30x12 or a=cos60x12

a=6

b=cos 30x12 or b=sin60x12

b=10.39

PLEASE HELP ME!!!! I’ll give Brainiest

Answers

Answer:

y=1/3x+2

do (6,0) and (0,2)

Step-by-step explanation:

A 12-meter ladder leans against a building forming a 30° angle with the building.

Exactly how high is the ladder on the building in meters? Round to the nearest hundredth
(2 digits after the decimal).

Answers

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

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

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

josefina pain rent for 5 months. She paid a total of $2045. how much did she pay per month?

Answers

Answer:

$409 per month

Step-by-step explanation:

If josefina paid $2045 over a time period of 5 months, then we have to divide how much she paid ($2045) by 5 to find out how much she paid for rent in 1 month.

We can use the equation: 2045 ÷ 5

When we solve that equation, we get 409 which means that josefina paid $409 per month for rent.

(sorry if this is confusing but I hope it helped)

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB? 6 units 7.6 units 9.5 units 12 units

Answers

Answer:

[tex]AB = 6[/tex]

Step-by-step explanation:

Given

[tex]BC = 3.8[/tex]

[tex]A'B' = 15[/tex]

[tex]B'C' = 9.5[/tex]

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

[tex]A'B' : AB = B'C' : BC[/tex]

Substitute values for A'B', B'C' and BC

[tex]15 : AB = 9.5 : 3.8[/tex]

Express the ratio as fractions:

[tex]\frac{AB}{15} = \frac{3.8}{9.5}[/tex]

Multiply through by 14

[tex]15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15[/tex]

[tex]AB = \frac{3.8}{9.5} * 15[/tex]

[tex]AB = \frac{3.8* 15}{9.5}[/tex]

[tex]AB = \frac{57}{9.5}[/tex]

[tex]AB = 6[/tex]

Answer:

A. 6 units

Step-by-step explanation:

I got it right on edge.

You plan to purchase a plane ticket for $299.00 and you are going to use a discount code to
receive 15% off. How much will the ticket cost AFTER the discount?

Answers

Answer:

$44.85

Step-by-step explanation:

15/100 * $299.00= $44.85

!!!! Help please whoever evaluates it I’ll give you Brainly

Answers

Answer:

733

Step-by-step explanation:

3*3 =9

3*3=9

3*3=9

9*9= 81*9= 729+4 = 733

calmi goes scuba diving she descends 18-ft in 3 minutes which expression represents the average rate at which cami position changes in feet per minute ​

Answers

it’s the last one -18/3 because she is going 18 feet downwards so it’s a negative and she did that in a span of 3 minutes so it’s divided by 3

What expression is equivalent to 5/6 divided by 7

Answers

Answer:

5/42

Step-by-step explanation:

Which one doesn't belong and why?

Answers

Answer:

The Bills

Step-by-step explanation: They aren't a football team

Answer:

The pirates dont belong belong because the rest are all football teams and that one is not

Step-by-step explanation:

Pirates

What is the perimeter of the triangle, the left diagonal side is 6.1in, the right diagonal side is also 6.1in, the bottom line is 7in, and there is a line in the middle from top to bottom which is 5in. What is the perimeter of the triangle?

Answers

Answer:

19.2 inches

Step-by-step explanation:

6.1 + 6.1 + 7 = 12.2 + 7 = 19.2

perimeter is the outside distance of the shape so you don't need to know the altitude (or height) equals 5.

I dont really understand it HELP :/

Answers

Answer:

help

/hɛlp/

Learn to pronounce

verb

1.

make it easier or possible for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Similar:

assist

aid

help out

lend a hand to

lend a helping hand to

give assistance to

come to the aid of

succour

aid and abet

be of service to

be of use to

be useful to

do someone a favour

do someone a service

do someone a good turn

bail/bale someone out

come to someone's rescue

give someone a leg up

cooperate with

do one's bit for

rally round

pitch in

chip in

save someone's bacon

save someone's skin

muck in with

get stuck in with

Opposite:

hinder

2.

serve someone with (food or drink).

"may I help you to some more meat?"

noun

the action of helping someone to do something.

"I asked for help from my neighbours"

Similar:

assistance

aid

a helping hand

support

succour

advice

guidance

solution

benefit

use

advantage

service

comfort

avail

cooperation

collaboration

backing

encouragement

a shot in the arm

Opposite:

hindrance

exclamation

used as an appeal for urgent assistance.

"Help! I'm drowning!"

Definitions from Oxford Languages

Feedback

Translations and more definitions

People also ask

What is a fancy word for help?

Step-by-step explanation:

Grace cut 3 pieces of ribbon; each piece was 25 of a foot long. How many feet of ribbon does she have in all? Express your answer as a mixed number

Answers

6/5 or 1 1/5 . Each piece is 2/5 so you add it up 3 times or multiply by 3 to get 6/5 or 1 and 1/5.

Answer:

1 1/5

Step-by-step explanation:

3 x 2/5 = 6/5 = 1 1/5

Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I, spent on in-state tuition for a randomly selected student has a mean of $2,523.75 and a standard deviation of $1,003.25. The amount, O, spent on out-of-state tuition for a randomly selected student has a mean of $3,825.00 and a standard deviation of $1,126.50.

Suppose we randomly select one student who pays in-state tuition and one student who pays out-of-state tuition.

Calculate the mean of the sum S = I + O.

μS = $227.69
μS = $1,301.25
μS = $1,508.48
μS = $6,348.75

Answers

Answer:

6,348.75

Step-by-step explanation:

Just add the means. It’s right, just did it!

Using statistical concepts, it is found that the mean of the sum S = I + O is of:

[tex]\mu_S = 6348.75[/tex]

What happens when two variables are added?When two variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

In this problem:

The mean of I is of [tex]\mu_I = 2523.75[/tex].The mean of O is of [tex]\mu_O = 3825.00[/tex].

S is the sum of I and O, hence:

[tex]\mu_S = \mu_I + \mu_O = 2523.75 + 3825.00 = 6348.75[/tex]

You can learn more about operations with variables at https://brainly.com/question/26156502

John buys a Seahawks beanie that cost $18, but is on sale for 20% off. Jane
buys a Seahawk scarf that costs$25, but is on sale for 25% off. Find the
difference in the amount John and Jane paid, after the discounts. Write
and solve proportions to find the answer, round your answer to the nearest
cent, and include units. *

Answers

Answer:

18/100 X 80 =14.40

25/100 X 75 =18.75

18.75 - 14.40 = 4.35

Due asap
Show workings please

Answers

Answer:

x= 11.4° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Find the value of x in the triangle. SU RV

Answers

Answer:

x = 8

Step-by-step explanation:

Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is

[tex]\frac{TS}{TR}[/tex] = [tex]\frac{TU}{TV}[/tex] , substitute values

[tex]\frac{x}{x+16}[/tex] = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = x + 16 ( subtract x from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Shreya's Bikes rents bikes for $15 plus $4
per hour. Kali paid $47 to rent a bike. For
how many hours did she rent the bike?
A) 8 B) 7
C) 11.75 D 9

Answers

Answer:

A, 8

Step-by-step explanation:

Use the equation 15+4x=47

Subtract 15 from both sides to get

4x=32

divide to get 8

x=8

jenny is 12 years older than Steve. five years ago, Jenny was four times older than steve was then. how old are each of them now

Answers

Answer:

Jenny 21 years old and Steve 9 years old

Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Answers

Answer:

A. and D.

Step-by-step explanation:

help me out I’m confused.

Answers

I think it will be 33 inches

Answer:

33

Step-by-step explanation:

55²- 44²= 1089

square root of 1089 = 33


What is the solution to -32 + x = 53 ?

Answers

Answer:

positive 85

Step-by-step explanation:

Positive 85 would be the correct answer

Jen used 1/2 cup of cereal and 2/3 cup of nuts to make trail mix. Her mother asked if she used more cereal or more nuts in the mix. Which statement correctly compares the fractions?

Answers

1/2<2/3. 1/2= half of a whole and half of a whole is 1/2. 2/3 is over a half so it means that 2/3 is better then 1/2 since 1.5 is actually the half of 3. Jen should say that she used more nuts to make trail mix then using cup of cereal to make trail mix because 2/3 is greater then 1/2.

What is the slope for y= -8x + 3
A) -8
B) -5
C) 3
D) 8

Answers

It would be a- neg 8


I need to find the postulate

Answers

Is there an option for AAA?

write the equation for the parabola that has x-intercepts (2,0) and (3,0) and y intercept (0,-1.2)

Answers

Answer:

i think its y=-0.2x^2+x-1.2

Step-by-step explanation:

i could be wrong tho ngl

The equation of the parabola with x-intercepts (2,0) and (3,0) and y-intercept (0,-1.2) will be y = (-1/5)(x - 2)(x - 3).

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

The equation of a parabola is written as,

y = a(x - b)(x - c) here b and c are two x-intercepts while (a,y) is the y-intercept.

As per the given,

x-intercept = (2,0) and (3,0)

y-intercept = (0,-1.2)

y = a(x - 2)(x - 3)

-1.2 = a(0 - 2(0 - 3)

a = -1/5

Thus,

y = (-1/5)(x - 2)(x - 3)

Hence "The equation of the parabola with x-intercepts (2,0) and (3,0) and y-intercept (0,-1.2) will be y = (-1/5)(x - 2)(x - 3)".

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Solve 3x + 4(x + 6) = 45.

Answers

Answer:

x=3

Step-by-step explanation:

3x + 4(x + 6) = 45

Distribute

3x+4x+24 = 45

Combine like terms

7x+24 = 45

Subtract 24 from each side

7x+24-24 = 45-24

7x = 21

Divide each side by 7

7x/7 = 21/7

x=3

Answer:

x =3

Step-by-step explanation:

Please help me
Which equation below best represents the relationship between corresponding values in the table above?

Answers

Answer:

D

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I was to lazy to provide an explanation

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