Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.

Answers

Answer 1

Answer: 16 yards would be your answer

Answer 2

The  scale factor of ABCD to QRST is 1:2

The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.

Rectangle ABCD has a width of 8 yards and a length of 20 yards.

Rectangle QRST is similar to rectangle ABCD.

Rectangle QRST has a length of 40 yards.

Scale factor:

Therefore, the scale factor of ABCD to QRST can be calculated as follows:

let

x = width of rectangle QRST

8 / x = 20 / 40

8 / x = 1 / 2

x = 16

The scale factor of  ABCD to QRST is 1:2

Perimeters

perimeter ABCD = 2(8 + 20) = 56 yards

perimeter QRST = 2(16 + 40) = 112 yards.

learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults


Related Questions

2(2x + 4) - (5x - 3)

Answers

Answer:

-x + 11

Step-by-step explanation:

Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3.  Combine the two like terms together to get the final answer which is -x + 11.

At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?

Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

How to solve and the answer

Answers

Answer:

x = 10; y = 10

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

1) find x using sin formula

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]

[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

2) find y using cos formula

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]

[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]

[tex]10 = y[/tex]

[tex]y = 10[/tex]


The changes in the depth of snow, in inches, at a ski resort for four days are shown below.
-1/8, 3/4, 3/4, -1/2

What is the average change in the depth of the snow during the 4-day period?
A. 2 1/8
B.3 1/2
C. 7/32
D. 17/32

Answers

Step-by-step explanation:

Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.

Average change = Total change / 4 days

= (7/8) / 4

= 7/32. (C)

Lydia made 3 pounds of trail mix. One portion of trail mix is 19 pound. How many portions of trail mix did Lydia make?

Answers

Answer:

I have the same question but no one will help me

Step-by-step explanation:

which equation represents this graph?

Answers

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.

Answers

Answer:

B

Step-by-step explanation:

I know because I know that how

The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.

Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.

The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.

Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ7

Which of these is a unit rate? (from time4learning)
(A). $3.50 for 2 gallons of juice
(B). $5.00 for 3 pounds of cheese
(C). $4.25 for 1 watermelon
(D). $2.75 for 6 hamburger rolls

Answers

Answer:

B

Step-by-step explanation:

B. is the answer that you seek

Simplify:
3x (x^2 + 5x – 4)

Answers

The answer is 3x^3+15x^2-12x.

A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB

Please help
Thank you

Answers

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Answers

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

What is greater than 4.026

Answers

Answer/Step-by-step explanation:

The number 5 is greater than 4.026

Hope this helps!

Answer:

4.027

Step-by-step explanation:

Just add a number to the problem

1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?

Answers

Answer:

17.60m

Step-by-step explanation

The set up is a right angled triangle

Given

angle of elevation = 58°

Distance of the man from the tree = adjacent = 11m

Required

Height of the tree h (Opposite)

Using the TOA identity

tan theta = opposite/adjacent

tan 58 = h/11

h = 11tan58

h = 11(1.6)

h = 17.60

Hence the tree is 17.60m tall

Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

DETERMINE THE MISSING SIDE

Answers

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

32) Convert this fraction to a decimal number: 4/10

Answers

Answer:

40%

Step-by-step explanation:

It would be 0.4 and percent would be 40%

Hope this helps

Have a great day/night

Please help, this is called Writing Equations

Answers

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

solve: logx 64 = 3. Which is an equivalent equation?

Answers

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

2

+

2

i

3

,

2

2

i

3

Step-by-step explanation:

plz help me with this

Answers

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?

Answers

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

wut anime do u guys watch comment down below and you'll get brainliest as well 2x2 just in case it would deleted i will also put math equations 2x3x4x5

Answers

I feel like the answer to this complex equation would have to be naruto . It’s an older one that everyone knows but still such a good show

Write an algebraic expression or equation to represent each word phrase.
Five times the sum of a number n and eleven

Answers

Answer:

{ N+11 }x5

Step-by-step explanation: First you have to add <n> plus eleven. In order to get a sum, you must multiply by five.

What is $27.00 in cents

Answers

2,700!!!!!!!!!!!!!!!!!!!!

Answer:

2700

cents

Step-by-step explanation:

NEED HELP FAST PLEASEEE!!

Answers

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

what is the meaning of the slope in this situation?

Answers

Answer:

add a photo please do we can help you better

Answer:

The picture is non-existent

Aisha wants to paint the four walls of her living room.
Each wall is 2.4 m high and 3.7 m long.
One wall has a door of 2 m by 0.7 m.
Tins of paint cost £12 per 1.5 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?

Answers

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

PLEASE HELP! I WOULD TRULY APPRECIATE IT :(

When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.

Answers

Answer:

D

Step-by-step explanation:

Let me know if I was right :( don't be mean pls

Please helppppppppppp

Answers

Answer:

21.92

Step-by-step explanation:

division

87.68 ÷ 4

Answer:

The answer is 21.92

Step-by-step explanation:

87.68 divided by 4

There is 4 people and the total is $87.68

What name best describes this shape?
quadrilateral
rhombus
square
trapezoid
Submit

Answers

What shape? It doesn’t have a pic

What shape lol? Gotta snag those points ;)

Need help finding x.

Answers

Answer:

Step-by-step explanation:

SOH CAH TOA  to help remember how the trig functions fit on the triangle

use  SOH since we know the angle and the hypotenuse and want to find the opposite side

Sin(x)= Opp/ Hyp

Hyp* sin(38) = Opp

12* 0.6156614753 = Opp

7.3879377...

7.4  is the answer  

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