The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answers

Answer 1

Answer: 6

Step-by-step explanation:

The length of all sides of the square ceiling is 15 ft

Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft

Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling

We know that,

Diagonal of a square = √(2) * a , where a is the length of the side of the square.

Therefore,

BD = AC = 15 √(2)

Thus,

Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft

Crepe paper in each roll = 20 ft

Therefore,

Number of rolls required = 102.43 / 20 = 5.1215

Therefore, the minimum number of rolls she should buy is 6

The Ceiling Of Katies Living Room Is A Square That Is 15 Ft Long On Each Side. To Decorate For A Party,

Related Questions

SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb

Answers

Answer:

12,240 W

Step-by-step explanation:

Use a proportion.

8/8160 = 12/x

8x = 8160 × 12

x = 1020 × 12

x = 12,240

Answer: 12,240 W

Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

Answers

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]

Then add 180 degrees, then we have

[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]

Then the value of the cosine will be

[tex]\cos 160.52^o=-0.9428[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

-2√2/3

Step-by-step explanation:

edge 22

The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?

Answers

The volume of the cylinder in cubic meters is 20.886 m^3

How to get the volume?

We know that the volume is the area of the base times the height.

In this case, the diameter of the base is 18 ft, so the radius (half of that) is:

R = 18ft/2 = 9ft

Then the area of the base is:

B = 3.14*(9ft)^2 = 254.34 ft^2

And the height is 2.9 ft, then the volume is:

V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3

Now, we know that:

1ft = 0.3048 m

if we cube both of these

1 ft^3 = (0.3048 m)^3 = 0.0283 m^3

Now we can change the unis of our volume:

V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3

If you want to learn more about volumes, you can read:

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There are 31 passengers split between 3 cars in the Metrolink. How many passengers per car?

Answers

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

The slope for 5 and 2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know, slope (m) is equal to tan θ for a straight line :

[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]

[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]

So, we can say that it's a positive constant slope

Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?

Answers

The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.

How to calculate the mortgage?

From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:

= ($55,000 × 9% × 25)

= $123750

The cost of the mortgage will be:

= $55000 + $123750

= $178750

The monthly payment will be:

= ($55000 + $123750) / 25 years

= $178750/(25 × 12)

= $178750/300

= $595

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Find the midpoint between point A and point B:

A: (-3, 10)

B: (7, -4)

options:

(-5, 3)


(2, 3)


(2, 7)


(-5, 7)

Answers

Answer:

2,3

Step-by-step explanation:

Answer: (2,3)

Step-by-step explanation:

add the two x’s and divide them then do the same with your y’s.

What is the surface area of this design? (in the image)

Answers

★TSA=2(LB+BH+LH)

#1

L=4B=4H=6

TSA:-

2(4×4+4×6+4×4)2(16+16+24)2(56)112in²

#2

L=6inB=10inH=6in

TSA:-

2(60+60+36)2(120+36)2(156)312in²

Total:-

312+112=424in²

Find the volume of the figure. If necessary, round your answer to the nearest tenth.

Answer choice
A: 441 cm^3
B: 220 cm^3
C: 73.5 cm^3

Answers

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?


A. y = 2x + 6

B. 2y + 6x = 0

C. y = 6x + 2

D. y + 2x = 6

Answers

hello!

We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)

It's easier to write the equation in Slope-Intercept Form, which looks like so:-

[tex]\boxed{y=mx+b}[/tex]

where m -> slope of the line & b -> y-intercept

Instead of m, you should plug in 6:-

y=6x+b

Instead of b, you should plug in 2:-

y=6x+2 ✓

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked

Answers

Answer:

39

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!

Hope this helps

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties, how much will the replacement costs be? a. $4,258,856 b. $3,681,384 c. $1,191,036 d. $6,749,204

Answers

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

[tex]C=54138\times68\\C=3681384[/tex]

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

https://brainly.com/question/24304697

If you can help me with this please and thank you

Answers

Answer:

thanks for the points

Step-by-step explanation:

Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n

Answers

I believe the answer would be

A,C and maybe D hope this helps

In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total

Answers

Answer:

16 : 28

Step-by-step explanation:

If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.

28 - 12 = 16

So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.

I hope this helps! Have a lovely day!! :)

(brainliest is much appreciated!!)

Answer:

give they guy brainliest

Step-by-step explanation:

because hes right

UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

Answers

The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

How to calculate the volume?

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

Learn more about volume on:

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A company makes wax candles in the shape of a rectangular prism. Each Candle is 6 inches long, 4 inches wide and 7 inches tall. how much wax will they need to make 336 candles

Answers

Answer:

168

Step-by-step explanation:

LxWxH

L=6

W=4

H=7

6x4=24

24x7=168

Answer:

63,168 square inches

Step-by-step explanation:

A=2(wl+hl+hw)

A= 2{(4*6)+(7*6)+(7*4)}

A= 188

188 square inches for each candle

188 square inches times 336 candles= 63,168 square inches in total.

Hope this helped <3 Brainliest? :)


Find the x- and y-intercepts of the equation - 4x + 2y = 20

Answers

Answer:

y-intercept: 20

x-intercept: 5

Step-by-step explanation:

First, you want to rearrange the equation to make y on one side

2y=20-4x

Next, the y-intercept is 20.

Then to find the x-intercept, you have to make the equation equal to 0.

20-4x=0

Now, you solve for x.

20-4x=0

-4x=-20

-x=5

x=5

The x-intercept is 5.

Factor completely 9y+27

Answers

Answer: 9(y + 3)

Step-by-step explanation: 9y/9 = y | 27/9 = 3

please help me with this question

Answers

Answer:

71

Step-by-step explanation:

The mean is the average. There are two ways to do this question shown.

1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-

88+100+76+92+83=439.

439/5=87.8

The current average is 87.8. Now, you can add and divide again.

439+71=510. 510/6=85.

You now have the answer. However, you might want to check again.

439+76=515

515/6=85.833....3

It is more than 85, so the answer is 71.

2- Find out how much more all the numbers are than the smallest number.

First, I'll organize it.

-76, 83, 88, 92, 100-

The smallest number is 76, so subtract 76 from each.

0, 7, 12, 16, 24 added up together is 59.

59/5=11.8

76+11.8=87.8

That also gives you that the average is 87.8.

You can then see how much or less the number is than the average and then add.

71 is five LESS than the average, so it's -5.

54/6=9.

9+76=85.

Thus, 71

The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?

Answers

2 hours and 15 minutes

Two triangles make a parallelogram ABCD. The area of triangle BCD is 15 square meters. DC is the base of the parallelogram and is 6 meters long. What is the height?

Answers

Answer:

Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

Step-by-step explanation:

Area = b × h Square units

A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm

Answers

The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

How to calculate the force acting on string?

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

Learn more on hookes law here: https://brainly.com/question/12253978

Alex surveyed twenty boys from his class. He asked their height in centimeters and their shoe size. Alex wanted to know if these two variables were related. He graphed the results on the coordinate plane. Each graph below shows Alex’s data.

Which of the graphs shows the best linear fit for the data?

Answers

The graph that has a linear fit that is best for the data that Alex collected is the graph attached.

Which graph shows the data best?

A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.

The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.

Find out more on linear fits at https://brainly.com/question/839548.

The ordered pair (3,-2) is a solution to the system of inequalities,
y<x-3
y2-X-2

True
False​

Answers

false is the answer bc it’s just false

How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?

Answers

Answer:

135 miles in 3 hours, or 45 miles an hour

Step-by-step explanation:

well, if it travels 90 miles in 2 hours, than how many does it do in one?

90m/2h=45 miles in ONE hour.

Given that info, we can solve for 3 hours.

If ONE hour is 45, then THREE hours is just 45*3=135

135 miles in 3 hours, or 45 miles an hour

Answer:

90 miles in 2 hours

45 miles per hour

135 miles in 3 hours

Step-by-step explanation:

Bro come on simple maths

Find the value of x that makes triangle rst similar to triangle hgk

Answers

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

What are similar triangles?

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since both triangles are similar, hence:

GH/RS = HK/ST

(x + 7) / 3 = 8/5

x = -2.2

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

Find out more on similar triangles at: https://brainly.com/question/2644832

If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?

Answers

Answer:

(-5, - 10 )

Step-by-step explanation:

y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6

under a reflection in this line the x- coordinate of the point V is the same

V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6

the reflected point will therefore be 4 units below y = - 6, that is - 10 , then

V (- 5, - 2 ) → V' (- 5, - 10 )

HELPPP please help i don’t get it

Answers

this is what would make sence for me

the frist one was confusing

EZ QUESTION - FREE BRAINLIEST: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).

Answers

Answer:

Step One

Use the vertex to determine the basic equation for the parabola.

y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)

What it means is the  2 has to be minus in order that the vertex will shift 2 units in the x direction.

Step Two

Use the point to solve for a.

y = a(x - 2)^2 + 7

When x = - 1

Then y = 3

3 = a(-1 - 2)^2 + 7                combine -1 with - 2

3 = a (-3)^2 + 7

3 = 9a + 7                            Subtract 7 from both sides

3 - 7 = 9a

-4 = 9a                                 Divide by 9.

a = -4/9

or                                

a = - 0.4444

y = -0.4444(x + 2)^2 + 7 <<<<< answer

y = - 4/9 (x + 2)^2 + 7

Note: if you have choices, list them please.

Note: The red graph is y = (x - 2)^2 + 7 ; a = 1

The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444

1 It widens the graph

jcherry99 avatar

It turns the graph upside down. The next one is the tough one.

jcherry99 avatar

It gives the parabola two real roots.

jcherry99 avatar

If you thought of others, so much the better.

Step-by-step explanation:

Answer:

y = - 4x² - 16x - 9

Step-by-step explanation:

the equaion of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (- 2, 7 ) , then

y = a(x + 2)² + 7

to find a substitute (- 1, 3 ) into the equation

3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )

- 4 = a(1)² = a

then

y = - 4 (x + 2)² + 7 ← in vertex form

   = - 4(x² + 4x + 4) + 7

   = - 4x² - 16x - 16 + 7

   = - 4x² - 16x - 9 ← in standard form

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