# Jessica is creating a heart-shaped card to give to her valentine. She has folded a square piece of paper in half and traced the pattern onto one half of the folded paper. The pattern consists of a right triangle with

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Jessica is creating a heart-shaped card to give to her valentine. She has folded a square piece of paper in half and traced the pattern onto one half of the folded paper. The pattern consists of a right triangle with hypotenuse of length 7 1/2 inches and a semi-circle with a ...
2. ### Math

If you fold a normal piece of paper in half and then fold that in half and then fold that in half etc and repeat the folding 50 times, How thick is your final result? You can assume that the original piece of paper is 1/1000 of an inch thick. Let t denote the thickness. If we ...
3. ### math

When a square piece of paper is folded in half vertically, the resulting rectangle has a perimeter of 39cm. In square centimeters, find the area of the original square piece of paper.
4. ### Math

A square piece of paper is folded in half to make a rectangle. The perimeter of the rectangle is 24.9 cm. What is the side length of the square piece of paper?
5. ### math

malik folded his square piece of art paper exactly 4 times so that the creases formed 16 squares as shown. Which fraction describes how malik folded the paper? A. 1/2 B. 1/3 C. 1/4 D. 1/16<<<<<<<<< is it D.
6. ### Maths: Surds

A rectangular piece of paper has an area of 100 rt2 cm^2. The piece of paper is such that, when it is folded in half along the dashed line, the new rectangle is similar (of the same shape) to the original rectangle. What are the dimensions of the piece of paper?
7. ### math

An 8-inch by 8-inch square is folded along a diagonal creating a triangular region. This resulting triangular region is then folded so that the right angle vertex just meets the midpoint of the hypotenuse. What is the area of the resulting trapezoidal figure in square inches?
8. ### Math

A square piece of cloth is folded in half to form a rectangle. If the resulting rectangle has a perimeter of 8 inches, what are the area and perimeter of the square piece of cloth?
9. ### English creative project

I have to make this half circle from a piece of white paper. It has to be circle shaped like a beach ball but made out of paper and only half of a circle. Does anyone know how to make this with a piece of paper? Could someone tell me a video too Thanks
10. ### algebra 1

The cheerleaders are making buttons for homecoming. They are printing paper circles with a diameter of 3 inches that will be folded over a metal backing and covered with clear plastic. If a 1/2 inch border is folded over, how much of the picture will show on the finished ...
11. ### Math

A square is folded in half to form a rectangle. If the resulting rectangle has a perimeter of 15 inches,what is the are of the original square?HELP...please?
12. ### calculus max area

Maximize volume of a pyramid cut from peice of paper. (Problem) A pyramid consists of 4 isosceles triangles around a square base. If this is to be cut and folded out of a single square piece of paper, Maximize the volume. I am not sure where to begin here. I know I am going to...
13. ### English

What is the theme of the poem Home for the Aged? Home For the Aged by Elizabeth Brewster: The old men sit, five of them on a bench, Half sleeping, half awake, dazed by the sun, In the muted afternoon, between one broadcast ball game and the next Their thoughts are leaves that ...
14. ### MATH

When a certain rectangle is folded in half, it forms two squares. If the perimeter of one of these square is 28, what is the perimeter of the original rectangle?
15. ### English

I urgently need to check this paragraph. Can you help me, Writeacher? 1) St. Valentine's Day is the feast's day of the Patron Saint of love called St. Valentine. He was priest in the third century in Rome. 2) He was killed because Emperor Claudius II said that soldiers in the ...
16. ### Math

The figure at right shows a long rectangular strip of paper, one corner of which has been folded over to meet the opposite edge, thereby creating a 30-degree angle. Given that the width of the strip is 12 inches, find the length of the crease.
17. ### math URGENT!!!!!!!

a rectangular sheet of paper is folded in half, with the crease parallel to the shorter edge. it happens that the ratio of longer side to shorter side remains unchanged. what is this ratio? answer this and explain how u got the answer.. PLEASE??!
18. ### English

I must complete an essay analyzing the atmosphere and how it's portrayed in Home for the Aged by Elizabeth Brewster.My question is how does the use of descriptive detail establish the atmosphere? I do not know what the atmosphere is in this poem and I am confused on the ...
19. ### volume

hi, um im not sure how to do this.So can you please help me? coral takes a 10" by 14" rectangular sheet of paper and cuts a 2" by 2" square out of each corner. the paper is then folded up to make an open box. what is the volume of the box? thank you for helping me to
20. ### English Poetry(response to writeacher)

The theme is the theme is thoughts of elderly? And that there is only one life to live so live it well? This poem seems confusing.. it is either really easy and literal or metaphoric.. I need to write a paper on the atmosphere of this poem and I think the atmosphere is lonely(...
21. ### basic algebra

the perimeter of a piece of cardboard is 34 inches. squares measuring 2 inches on a side are cut from each corner so that when the sides are folded up, the diagonal of the resulting box has the length 7 inches.what are the original dimensions of the card board?
22. ### Math

Given that I take a piece of paper and cut it in half and then in half again. If the paper originally had an area of 187/2 in^2.What is the area of my new paper?
23. ### Calc.

The upper right-hand corner of a piece of paper, 12 in. by 8 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
24. ### Math

Your mom is a sporting person, so when it's close to your bedtime, she will have a contest with you to see if you get to stay up and extra half-hour to play a computer game. You get to draw a card from a well-shuffled deck. If you draw a face card, an ace, or any heart, she'll...
25. ### math

Your mom is a sporting person, so when it's close to your bedtime, she will have a contest with you to see if you get to stay up an extra half-hour to play a computer game. You get to draw a card from a well-shuffled deck. If you draw a face card, an ace, or any heart, she'll...
26. ### Algebra

Completing the square method allows you to solve any quadratic equation. For each of the following determine what number completes the square. I cannot find my notes on completing the square, can someone please help with these two problems? 1. x^2+8x 2. y^2+10y Take half of ...
27. ### Math

The heart shaped card is made by placing a square card and two semicircles together. What is the area of the card. each side of the sqare is 8cm long. I did a=TTr(squared)+lw A=TT4squared+8(8) A=TT16+64 A=80TT A+251.3274123 A=251.3 cm(squared) The total area of the card is 257...

alice folded a piece of paper into 12 equal squares and colored them. She had 3 times as many red parts as green parts and 2 more yellow parts than blue parts. How many parts did she have of eeach color?
29. ### math 12

\$identical\:squares\:are\:cut\:from\:each\:corner\:of\:a\:rectangular\:piece\:of\:cardboard,\:7\:cm\:by\:10\:cm.\:The\:sides\:are\:then\:folded\:up\:to\:make\:a\:box\:with\:an\:open\:top.\:If\:the\:volume\:of\:the\:box\:is\:25\:cubic\:centimeter,\:how\:long\:is\:the\:side\:of...
30. ### math (find height)

A piece of construction paper is .01mm thick. It is cut in half and one piece is placed on top of the other to make a pile. These are cut in half, and all four pieces are placed in a pile. These four are cut in half and placed in a pile, and the process is continued. After the...
31. ### physics

A rectangular loop of wire with sides 0.196 and 0.584 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). The magnetic field has a magnitude of 0.723 T and is directed parallel to the normal of the loop's surface. In a time of 0.249 s, one...
32. ### Math- Math Analysis

In a rectangular piece of cardboard with a perimeter of 20ft, three parallel and equally spaces creases are made (so the piece is divided into four equal sections.) The cardboard is then folded to make a rectangular box with open square ends. a. Write a formula for the volume ...
33. ### AP CaLC. AB

The upper left-hand corner of a piece of paper 8 in. wide by 17 in. long is folded over to the right-hand edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
34. ### math

an alphabet book will have one letter on each page. eight pages will be printed on a single piece of paper.you fold the paper in half.then you fold it in half again and trim the edges. the eight pages appear in order. draw the layout for two sides of the large sheet from the ...
35. ### math

an alphabet book will have one letter on each page. eight pages will be printed on a single piece of paper.you fold the paper in half.then you fold it in half again and trim the edges. the eight pages appear in order. draw the layout for two sides of the large sheet from the ...
36. ### College Algebra

A rectanguler piece of metal is 5 inches longer than it is wide. Square with sides 1 inches longer are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 644 inches, what are the original dimensions of the piece of metal?
37. ### maths

a box is to be made from the piece of cardboard at right, where square corners of side x are to be cut out, and sides folded up, and top enclosed. Find the possible heights x of the sides when the volume of the box is 10, within the interval of length 1
38. ### math final review (help)

from a 12cm by 12cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Express the volume of the box as a function of the length, x, in centimeters.
39. ### Algebra

Identical squares are cut off from each corner of a rectangular piece of cardboard measuring 7cm by 12cm. The sides are then folded up to make a box with an open top. If the volume of the box is 33cm^3, what is the largest possible length of each side of the square?
40. ### geometry

A wire 10 meters ong is to be cut into two pieces. One piece wil be shaped as a square, and the other piece will be shaped as a circle. (piece one is 4x, piece two is 10-4x) a)Express the total area A enclosed by the pieces of wire as a function of the length x of the side of ...
41. ### math

A square is folded vertically twice and the resulting perimeter is 20 cm.What is the peremeter of the square?
42. ### math

The length of a rectangular piece of cardboard is three more than twice the width. A square 2 cm on a side is cut out of each corner. The sides are folded up to form an open box. if the volume of the box is 120cm^3, what were the original dimensions of the cardboard.
43. ### math

a 5cm by 5cm square is cut from each corner of a rectangular piece of cardboard.the sides are folded up to make an open box with a maximum volume.if the perimeter of the base is 50cm,what are the dimensions of the box.
44. ### Geometry

A square piece of cardboard, 24 inches by 24 inches, is to be made into an open box by cutting out each of the four corners. Each side of the box will then be folded up. Find the maximum volume that the box can hold.
45. ### precalculus

A square of size x inches is cut out of each corner of an 8in by 12in piece of cardboard, and the sides are folded up to form an open-topped box. Determine the dimensions of the cut-out squares that will produce the box of maximum volume.
46. ### Pre-calculus

A square of size x inches is cut out of each corner of an 8in by 12in piece of cardboard, and the sides are folded up to form an open-topped box. Determine the dimensions of the cut-out squares that will produce the box of maximum volume.
47. ### math

Squares of side x units are cut of the corners of a square piece of cardboard of side 6 units. The sides are then folded to make an open box. Calculate the volume of the box in terms of x.
48. ### algebra1

The sears tower in Chicago is 1,454 feet high. suppose you take a sheet of paper and fold it once in half, than fold it in half again,and keep folding it over and over again. How many times would you have to fold it to create a piece of paper that is higher than the sears tower?
49. ### Math

One corner of a square is folded to its centre to form an irregular pentagon.the areas of the pentagon and of the square are consecutive integers.what is the area of the square?
50. ### math

A card is selected from a deck of 52 playing cards. Find the probability of selecting · a prime number under 10 given the card is a heart. (1 is not prime.) · a diamond or heart given the card is red. · a King, given that the card is not a spade. Show step by step work. ...
51. ### Maths

I have 1000m of fencing to make a paddock, there is a 1km wall in which I can build the paddock onto. I have to find the length or area (I'm not sure what) of a square shaped paddock, a triangle shaped paddock and half a circle. The notes I was given with them are - Square - L...
52. ### Calculus

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
53. ### Math

From a 10-inch-by-19-inch piece of cardboard, 3-inch-square corners are cut out, as shown in the figure above, and the resulting flaps are folded up to form an open box. Find the surface area and volume of the open box
54. ### math

An open box is made from a rectangular piece of cardboard measuring 16 cm by 10cm. Four equal squares are to be cut from each corner and flaps folded up. Find the length of the side of the square which makes the volume of the box as large as possible. Find the largest volume
55. ### Geometry

I have a pizza. The radius is 10 inches long. The pizza was cut into 16 equal slices. When 1 slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the ...
56. ### Geometry

I have a pizza. The radius is 10 inches long. The pizza was cut into 16 equal slices. When 1 slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the ...
57. ### Geometry

I have a pizza. The radius is 10 inches long. The pizza was cut into 16 equal slices. When 1 slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the ...
58. ### Geometry

Ok Dr. Russ helped me find one part of the question, but I still can't figure out the values of x that maximizes volume = in. Any help is appreciated. Thanks On a rectangular piece of cardboard with perimeter 11 inches, three parallel and equally spaced creases are made. The ...
59. ### Math

You have a 50 cm x 50 cm card board. Squares with side length h are cut out of the corners and the sides are folded up to make a box. What polynomial represents the volume of the box formed?
60. ### Math

A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?
61. ### Maths

a rectangular piece of paper has length=14cm and breadth=12cm. A square piece of paper of perimeter 24 cm is cut off from it. what is the area of the piece of paper left
62. ### Pre-Calculus

Squares of side length x are removed from the 4 corners of an 11in by 8.5in piece of paper. The sides are then folded up to create an open-top box. Write a funcion that determines the volume of the box and determine the functions range. How much should be cut from the corners ...
63. ### Math

Sophie measured a piece of paper to be 21.7 cm by 28.5 cm. The piece of paper is actually 21.6 cm by 28.4 cm. Determine the amount of square centimeters in the area of the piece of paper using Sophie's measurements.(I got 618.45 sq cm) Determine the number of square ...
64. ### physics

A string is tightly stretched between the point A-G at point C it's lightly pinch and point B it's plucked, at points DEF are light folded tissue paper the segments A to BB to CC to DD to E and EG are all equal in length, what happen to the tissue paper does it fall or ride ...
65. ### math help

"Three cards are randomly selected from a standard 52-card deck. What is the probability of getting 3 hearts or 3 numbers less than 6 (count aces as 1)?" I think the answer is 0.0645, but I'm not sure if this is right. Could someone check this? "Half of a circle is inside a ...
66. ### Math ,help

how can i simplify this more its for the following problem: Problem #22 solve by using the quadratic formual. 5x^2-4x+1=0 this is where i am but i do not know how to go further. x = (4 (+/-) sqrt (-4))/(10) Problem #23 Solve by completing the square. 4x^2+2x-3=0 i started ...
67. ### Math

An open box contains 80cm^3 and is made from a square piece of tinplate with 3cm squares cut from each of its four corners. Find the dimensions of the original piece of tinplate. A=80 A=(length)(width)(height) since length and width are the same, and when the box is folded the...
68. ### chem

Can someone please help me with the following questions? 1:Suppose you were given an ancient wooden box. If you analyze the box for carbon-14 activity and find that it is 50% of that of a new piece of wood of the same size, how old is the wood in the box? 2:How old is an ...
69. ### English

Posted by rfvv on Tuesday, August 31, 2010 at 8:19pm. 1. There is a girl who is reading a book with legs crossed on the sofa. 2. There is a girl reading a book with her knees folded and raised on the sofa. 3. There are a dog and a cat sleeping on a big coushion. 4. There is a ...
70. ### Calculus

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 37ft by 20 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b) Suppose that ...
71. ### math

Identical square are cut from each corner of an 8 inch by 11.75inch rectangular piececof cardboard.the sides are folded up to make a box with no top . if the volume of the resulting box is 63.75 cubic inches how long is the edge of each square that is cut off?
72. ### Stats

Directions: Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a queen and king) suppose you pick a card at ...
73. ### Math

An open box contains 80cm^3 and is made from a square piece of tinplate with 3cm squares cut from each of its four corners. Find the dimensions of the original piece of tinplate. A=80 A=(length)(width)(height) since length and width are the same, and when the box is folded the...
74. ### Math

Vanessa presented a report on Japanese tea rooms to her class. The floors are usually covered with square and rectangular tatami mats. She drew one way to cover square floor with a square half tatami mat qnd four rectangular full mats. The area if the half mat is 8100cm (...
75. ### English

How does the author arrange this passage? A) He uses dialogue in the first half to express the confusion over the phrase "Don't give up the ship." He uses a rhyming poem in the second half to explain the phrase's source. B) He uses dialogue in the first half to express the ...
76. ### algebra help

My class is doing a unit on the "completing the square method" which is used to solve quadratic equations. I need help understanding this method. It's not making any sense right now! I have two problems and I need to figure out which number completes the square. Here are the ...
77. ### English

1. Cats are various colors. 2. Cats are of various colors. (Which one is correct?) 3. This paper is not clean. Give me another piece. 4. This paper is not clean. Give me another piece of paper. 5. This piece of paper is not clean. Give me another piece of paper. (Does #3 mean...
78. ### Stats

In a study that was highly published doctors discovered that aspirin helps prevent heart attacks. The research project which was scheduled to last 5 years employed 22,000 american physicians (all male). Half took an aspirin tablet 3 times a week while the other half took a ...
79. ### Calculus

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b) Suppose that in...
80. ### Math

A rectangular sheet of paper 8.5 inches by 11 inches is folded and then taped so that one pair of opposite vertices coincide. What is the number of inches in the perimeter of the resulting pentagon? Express your answer as a decimal to the nearest tenth.
81. ### English

1. Half of the bananas are from Mexico. 2. Half of my time was spent in reading essays. 3. Half of these boxes have stones. 4. Half of the money doesn't belong to me. ---------------------------------- Would you check the sentences? Are they all grammatical? Thank you for your...
82. ### Math

From an 8 inch by 10 inch rectangular sheet of paper, squares of equal size will be cut from each corner. The flaps will then be folded up to form an open-topped box. Find the maximum possible volume of the box.
83. ### Math

Maria had a square piece of paper. She cut 3 inches off the length and 4 inches off the width. Now the paper has a surface area of 30 in2. Which equation would you use to find the dimensions of the original piece of paper? A. x2 - 7x + 12 = 0 B. x2 - 7x - 18 = 0 c. x2 - 3x - 4...
84. ### Geometry

A lined napkin,in the shape of a square,has sides 9-inches long.if the napkin is folded along the diagonal,what is the length of the diagonal ?
85. ### U.S. History

I have to write an essay answering this question, " How were the reform movements and the Second Great Awakening of 1820-1860 in the United States related to the growth of industry and urban life?" and I'm haing trouble organizing my thoughts and writing my thesis. Can anyone ...
86. ### Maths

A gift box is made from a rectangular piece of cardboard that is three times as long as it is wide. 5 cm squares are cut from each corner and the ends are then folded up to make the box. If the box's volume is 4340 cm^3, find the length and width of the cardboard.
87. ### physics

if a ball is thrown horizontally from the top of a cliff and takes 3 seconds to reach the beach below. calculate the height of the cliff by considering the vertical motion only. answer : s=ut+half at(square) s=0*3+half*10*3 s=3+45 s=48 m/s(square)

The oldest known Valentine'sDay card dates from 1415? What is the simple subject?? I think it's card??
89. ### math

each player is given a rectangular piece of graph paper that is 56cm long and 84 cm wide. The horizontal and vertical lines are spaced 1 cm apart. The paper is to be cut along the grid (graph) lines into square pieces that are all the same size without having any paper left ...
90. ### geometry

A square ABCD is inscribed in a circle. The circle is folded to form a semi-sircle, and another square EFGH is inscribed in this semi-cirlcle. Find the ratio of the area of the square EFGH to the area of the square ABCD.
91. ### math

Four corners are cut from a rectangular piece of cardboard that measures 5 ft by 3 ft. The cuts are x feet from the corners, as shown in the figure below. After the cuts are made, the sides of the rectangle are folded to form an open box. The area of the bottom of the box is ...
92. ### Chemistry

The half-equivalence point of a titration occurs half way to the end point, where half of the analyte has reacted to form its conjugate, and the other half still remains unreacted. If 0.220 moles of a monoprotic weak acid (Ka = 5.7 × 10-5) is titrated with NaOH, what is the ...
93. ### chemistry

The half-equivalence point of a titration occurs half way to the end point, where half of the analyte has reacted to form its conjugate, and the other half still remains unreacted. If 0.220 moles of a monoprotic weak acid (Ka = 3.7 × 10-5) is titrated with NaOH, what is the ...
94. ### chemistry

The half-equivalence point of a titration occurs half way to the end point, where half of the analyte has reacted to form its conjugate, and the other half still remains unreacted. If 0.460 moles of a monoprotic weak acid (Ka = 3.8 × 10-5) is titrated with NaOH, what is the ...
95. ### math

Square of a side x are cut from each corner of an 8 inches * 5 inches rectangle, so that its sides can be folded to make a box with no top. Define a function that can represent the volume of this box.
96. ### Math

Color this square so that one-half is green,one-third is yellow and and the rest is brown.Each triangle should be just one color.Make any pattern you like. How much of the square is brown?
97. ### math

On a rectangular piece of cardboard with perimeter inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded along the creases to make a rectangular box with open ends (see Figure 2). Letting represent the distance (in inches) ...
98. ### Science

Can there be island arcs on folded mountains?
99. ### maths

A piece of rope has a length of 20 and a half metres long.if half metre is cut from it,how many pieces will be cut?
100. ### Math

you are creating a board game. you want to cut square game pieces that measure 1 1/4 on each side from a piece of paper that measures 8 1/2 inches by 11 inches... how many game pieces can you cut from the paper?