Two rectangular rugs are ordered at Cardi’s furniture: small rugs and large rugs.

Small rugs are 36 inches long and 18 inches wide.

Large rugs are 90 inches long and 45 inches wide.

a. Are the rugs similar shapes? Explain your reasoning.

b. Find the ratio of the two perimeters and the ratio of the two areas. Is there anything you notice about these ratios? What can you deduce?

c. It takes 180 feet of yarn to create a square foot of either rug. How many inches of yarn are needed to make the small rug? How many feet or yarn is needed to make the large rug?

d. If a “skein” of yarn costs $4.50 and one skein is exactly 180 feet of yarn, how many skeins of yarn are needed to make the large rug? Given this answer what is the lowest Cardi’s must sell the large rug in order to make a profit

PLEASE HELP EVEN IF U CAN ANSWER JUST 1

Answers

Answer 1

Answer:

a.) yes they are similar shapes, the width for both rugs is 1/2 of the length. This means that they are both similar in shape.

b.) 2:5 (perimeter rug 1 and 2 compared), 4:25 ( area for 1 and 2). The numers in the perimeter ratio are the square root of the numbers in the area ratio.

c.) You will need 648 sq in for the small rug and 4050 sq in for the large rug.

d.) 2:  she has to sell the large rugs x>$9 and the small rugs for s>$1.50

Step-by-step explanation:

total perimeter for rug 1 = 108   For rug 2 = 270

area for run 1 = 648 For rug 2 = 4050

180 ft =  2150 in

The large rug needs two skeins of yarn which cost 9 dollars, if she wants to make a profit she will have to sell them over that price.

You can make 3 small rugs with one skein meaning if she wants to make a profit from the small rugs she has to sell them over 1/3 of the price of the skein (which is sold for $4.50). She will have to sell the small rug for over $1.50


Related Questions

A leisure aircraft is owned by the Broadland Flying Group which has 10 members. The costs of keeping the aircraft comprise maintenance costs (including insurance) and the running cost which is mainly fuel. Average fuel consumption is 9 miles per gallon. If the 10 members of the Group are to share costs equally, write down a formula to enable Gordon the treasurer to calculate the annual cost for each member if the aircraft travels n miles in a year, incurs maintenance costs of £M and fuel costs £3 a gallon.

Answers

Answer:

£(M + n/3) / 10

Step-by-step explanation:

Given that :

Number of members = 10

Fuel consumption = 9 miles per gallon

Consumption for n miles = n/9 GALLONS

Cost of fuel = n/ 9 * £3 = 3n / 9 = £n / 3

Maintainace cost = £M

Annual cost per member :

£(M + n/3) / 10

A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.

Answers

Answer:

Step-by-step explanation:


Help me! Another question on khan.

Answers

Answer:

what are you trying to find the slope?

Step-by-step explanation:

Answer:

calculando la circunferencia

Write an equation of the line that passes through the points (0, −2) and (3, −5) .

Answers

Answer:

i might be wrong but i think it is

Step-by-step explanation:

y

=

x

2

y=-x-2

2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women

Answers

Answer:

15/28 are women

Step-by-step explanation:

2/7 + 1/4 + x = 100%

2/7+1/4= 15/28

9514 1404 393

Answer:

  13/28

Step-by-step explanation:

The fraction that are women is found by subtracting the given fractions from 1.

  1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28

The fraction that are women is 13/28.

POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23

Answers

Answer:

Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32

Step-by-step explanation:

8, 9, 11, 14, 17, 23, 29,30, 32, 32

solve this linear equation with HOW you did it please.
9k-5k=-32

Answers

Answer:

k = -8

Explanation:

9k - 5k = -32

4k = -32

k = -8

Find slope. I NEEDDDD HELPPPPP IMA MARK BRAINLIESTTT

Answers

-1/3


hope this helps :)

Answer:

-1/3

Step-by-step explanation:

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE I’ll give you BRAINLEST

Answers

Step-by-step explanation:

find the slope

-1 - 8/ -2 - -4 = -9/2

y - -1 = -9/2(x - -2)

y +1 = -9/2(x+2)

y = -9/2x -10

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

E
C
5
4
9
B
D
C
Solve for x

Answers

Que se debe hacer es una pregunta???

Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?

Use the formula, F = StartFraction 9 Over 5 EndFraction C + 32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
48Degrees Fahrenheit
50Degrees Fahrenheit
82Degrees Fahrenheit
108Degrees Fahrenheit

Answers

Answer:

82

Step-by-step explanation:

Do the equation

Answer:

82.4 degrees Fahrenheit. one degree Celsius is 33.8 degrees Fahrenheit. hope this helps mark me brainliest!!  

Step-by-step explanation:

A flagpole is 35 feet tall. A girl standing nearby who is 4 feet tall casts a shadow that
is 3 feet long. How long is the shadow of the flagpole (at the same time) to the
nearest foot?

Answers

Answer:

26 ft. =  the length of the flagpole's shadow to the nearest foot

Step-by-step explanation:

Let f = the length of the flagpole's shadow

girl's height/flagpole's height = girl's shadow length/flagpole's shadow length

4/35 = 3/f

4f = 105

f = 26.25 ft. ≅ 26 ft =  the length of the flagpole's shadow to the nearest foot.

A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number

Answers

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

A 30 ft water slide forms a 45 degree angle with their surface of the water.

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689

Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.

ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.

Answers

Answer:

A., B., C., and E.

Step-by-step explanation:

edge 2021

The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.

Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.

Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.

Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).

Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.

Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.

Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Learn more about congruence theorem on:

https://brainly.com/question/2102943

PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!

1. a closed figure made up of line segments

2. any face that is not a base

3. three-dimensional figure with a polygon base and triangles for all other faces

4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces

5. the perpendicular width of a plane figure

6. a two-dimensional representation of a three-dimensional shape when unfolded

7. a plane figure that is one side of a solid figure

8. a prism with a rectangular base and right angles between the base and sides

9. geometric figure with three dimensions

10. a prism with a triangular base and right angles between the base and sides

Answers

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

Natalie is a lab technician and earns $10.65 per hour. What are her wages for 40 hours?

pls help im in need​

Answers

$ 426. I’m pretty sure. If it’s 10.65 per hour then just multiply that by 40 to find the wage

PLEASE HELP WILL GIVE BRAINLIEST

15-10 dividid by 5 times 2^2 in the correct order

Answers

Answer:

12 1/2

Step-by-step explanation:

Answer:

your answer is 4x

Step-by-step explanation:

15-10 is 5

5 divided by 5 is 1

1 times 2 greater than 2 is 4

4x is your answer

Have a good day

sorry but the last answer is a bit glitched out

Answers

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Which situation is best described by this number line?

Answers

Answer:

B? I think itts B

Step-by-step explanation:

simplify: 4 (3y +x) please show your work

Answers

Answer:

12y+4x

Step-by-step explanation:

Multiply 4*3y and 4*x

Distributive property

PLEASE HELP ME WITH THIS FOR BRAINLIEST

Answers

i think since x=6 you multiply 6x6 and then minus 5 to get 31

PLZ HELP ITS DUEEE RNNNNN!!!!

Answers

Answer:

left: all three attributescenter: not a rectangleright: not a rectangle

Step-by-step explanation:

Some relevant characteristics of different quadrilaterals are ...

trapezoid: one pair of parallel sidesparallelogram: opposite angles are congruent, diagonals bisect each otherrectangle: a parallelogram; and all angles are congruent, diagonals are the same length

__

a.

There are two angles marked as right angles, and the remaining two angles are marked as congruent. The sum of angles in a quadrilateral is 360°, and each right angle is 90°. The only way the remaining angles can be congruent is for them to be (360° -180°)/2 = 90° each. That is, all of the angles in this figure must be congruent. It is ...

quadrilateralparallelogramrectangle

__

b.

Opposite angles are marked congruent. There is nothing to indicate any angle is a right angle. The figure is ...

quadrilateralparallelogram

__

c.

The diagonals are marked as bisecting each other. There is nothing to indicate the diagonals are the same length, or that any angle is a right angle. The figure is ...

quadrilateralparallelogram

Find x ( transversals relations )

Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 34) and (5x + 2) are alternate angles and congruent, then

8x - 34 = 5x + 2 ( subtract 5x from both sides )

3x - 34 = 2 ( add 34 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonus, which was 5 times the number of tickets of the original second prize. Altogether he won 300 tickets. How many tickets was the original second prize?

Answers

Answer:

42 tickets

Step-by-step explanation:

First winning = 90 tickets

Bonus won = 5 times the number of tickets of the original second prize

Total tickets won = 300

That is ;

First winning + bonus = 300 tickets

Let :

Number Tickets won by original second price = x

Bonus = 5x

Then;

90 + 5x = 300

5x = 300 - 90

5x = 210

x = 210 / 5

x = 42

The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value

Answers

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

If the cos 90° = 0, then the sin 0° = _____.


pls help

Answers

Answer:

I think its 0

Step-by-step explanation:

Answer:

This one too clicked by me

find the value of z

Answers

Answer:

[tex] z = 12 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]

By Pythagoras Theorem:

[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]

simplify Cos(a+b) +Cos(a+b)​

Answers

At the risk of piling on after correct answers have already been given, I’ll offer another way to address this problem. Recall that, if
θ
is real, cos()=Re()
cos

(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,

(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
(
A

B
)
=
e
i
A
(
e
i
B
+
e

i
B
)
=
2
e
i
A
cos

(
B
)

Finally,

cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos

(
A
+
B
)
+
cos

(
A

B
)
=
R
e
(
e
i
(
A
+
B
)
+
e
i
(
A

B
)
)
=
R
e
(
2
e
i
A
cos

(
B
)
)

=2cos()cos()

Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9

Answers

Answer:

Step-by-step explanation:

-7y = -4x + 9

7y = 4x - 9

y = 4/7x - 9/7

perp. -7/4

y - 3 = -7/4(x - 4)

y - 3 = -7/4x + 7

y = -7/4x + 10

marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend​

Answers

Step-by-step explanation:

let marianne friend age be x and

marianne age be x - 5

if the sum of their age is 61 I.e

x + (x- 5) = 61

x + x - 5 = 61

2x =61 +5

2x = 66

divide both sides by 2

x = 33

so marianne friend age is 33 and

and marrianne age is 33-5 = 28.

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