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Question 519871: A wire is stretched from the ground to the top of an antenna tower. The wire is 20ft long. The height of the tower is 4ft greater than the distance d from the towers base to the end of the wire. Find the distance d and the height of the tower.
The section of the book I'm in is polynomial equations and functions. I came with
1/2d(d+4)=20 then I did 2/1 x 1/2d(d+4)=20 x 1/2 =d^2+4d=40=d^2+4d-40=0
I then tried to factor but it comes out prime for me but the answer in the back of the book is 12 and 16 ???

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Question 520039: The perimeter of a parallelogram is 36 cm.if a diagonal is 6cm less its length but 2 cm more than its width,what are the dimensions of its parallelogram?
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Question 520103: A rectangular window has a length that is three times the width, the perimeter is 56 feet, find the length and width of the window
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Question 520153: The width of a rectangle is 4 more than the length,l. write an equation to describe the perimeter in term of w.
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Question 520153: The width of a rectangle is 4 more than the length,l. write an equation to describe the perimeter in term of w.
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Question 520254: The entranceway of a hotel is in the shape of a parallelogram and has an area of 96 square yards. If the width of a carpet material is 24 feet, what is the minimum length necessary to have enough carpet to cover the entranceway?
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Question 520845: If the length and width of rectangle A are each k times the length and width of rectangle B, which of the following is true?
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Question 520891: How wide a border of uniform width should be added to a rectangle that is 8 inches by 12 inches to double the area?
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Question 521291: The length and width of a rectangle are given by consecutive integers.
The area of the rectangle is 110 m^2.
Find the length of the diagonal of the rectangle.

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Question 521291: The length and width of a rectangle are given by consecutive integers.
The area of the rectangle is 110 m^2.
Find the length of the diagonal of the rectangle.

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Question 521299: Perimeter of a field is 94ft. The width is 7 more than twice the length. What is the length and width?
Could you show or tell me how you solved this?
Thanks

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Question 520952: Square has sides 3x5 , represent the area a the square using exponents
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Question 521326: The area of a rectangle is 270 squared cm. If the shorter side was reduced by 2cm and the longer side was increased by 4cm then the area would increase by 16 squared cm. Find the length of the sides of the original rectangle. (Thank you)
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Question 521356:

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Question 521356:

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Question 521622: problem: the gasoline tank on a car can be a box with dimensions 1.5 ft x 2.5 ft x 9 inches. How many gallons of gasoline does it hold and what is the weight of the gasoline in a full tank?
I am trying to help my daughter with this and I do not know how to figure out formula for weight

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Question 521873: a rug is 4m wide how much is this in centimeters

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Question 521944: a rectangle plot of ground has an area of 600 square yards. the langth of the plot is 5 yard shorter than three times the width x.

5.Write a quadratic equation in standord for that represents the area os the plot.

6.The Length Is ________ yards and the width is_______ yards.

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Question 522115: The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth.
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Question 522117: The perimeter of a rectangle is 32 feet. The length is three times the width. Find the diagonal. Round to the nearest tenth.
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Question 522134: if the volume of a cube is 64 m^3, what is the lenght of a single side?
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Question 522674: X + Y ATE 52 COOKIES
IF X ATE 11 COOKIES, HE WOULD HAVE EATEN 19 COOKIES LESS THAN Y
HOW MANY COOKIES DID Y HAVE IN THE BEGINNING?

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Question 522693: what is the length of a flag with width 10 miters ?
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Question 522662: I just submitted a question concerning spreading gravel in my driveway. I inadvertently asked how many "square yards" of gravel it would take instead of asking how many "CUBIC yards" it would take!! I am spreading gravel 3 inches deep, 12 feet wide and 900 feet long. I MAY decide to spread it 4 inches deep instead. I need to know how many CUBIC yards of material would be required in either scenario. What formula would I employ?
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Question 522845: hi there the bed of the truck i am looking at is 8ft long and 4ft wide i have a surf board 9ft 10 would it fit from corner to corner all the best Nick
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Question 523185: An open box is formed from a square piece of cardboard, by removing squares of side 7 in. from each corner and folding up the sides. If the volume of the carton is then 56 in3, what was the length of a side of the original square of cardboard
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Question 523175: the distance around the edge of a circular pond is 88m.what is the radius in metres.
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Question 523249: Find the slope of the line perpendicular to the line joining point1(8,1) and point 2(2,4)?
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Question 523228: A square and an equilateral triangle (3 congruent sides) have the same perimeter. Each side of the square is 15m. Find the length of each side of the triangle.
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Question 523228: A square and an equilateral triangle (3 congruent sides) have the same perimeter. Each side of the square is 15m. Find the length of each side of the triangle.
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Question 523250: find the obtuse angle between the two lines having m1=7 and m2=-3 for slopes?
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Question 523386: Joe wants to build a rectangular shaped deck whose length will be three inches greater than its width. What will be the dimensions of the deck if the perimeter is to be 54 inches.
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Question 523792: find the equation of a line whose y- intercept is (0,0) and whose slope is 4?

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Question 523792: find the equation of a line whose y- intercept is (0,0) and whose slope is 4?

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Question 523796: Find the equation of the line through (2,3) and parallel to 3x-2y=7?

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Question 523796: Find the equation of the line through (2,3) and parallel to 3x-2y=7?

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Question 523795: Find the equation of the line through (2,3) and perpendicular to 3x-2y=7?
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Question 523790: Find the obtuse angle between the y- axis and the line with a slope of m= -1/4?
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Question 523925: Find the sum of three positive integers whose product is 144 if the sum of their squares is 149.

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Question 523925: Find the sum of three positive integers whose product is 144 if the sum of their squares is 149.

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Question 524005: find the dimensions of a rectangle area, which is to have perimeter of 100''. and which has maximum area
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Question 524005: find the dimensions of a rectangle area, which is to have perimeter of 100''. and which has maximum area
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Question 524007: Algebra word problems:
#1 The length and width of a rectangular lot are 6 feet and 6 feet Both have to be increased by the same amount to double the area of the rectangular.What are the dimensions of the new rectangular?
#2 An open-top box containing 480 cm is made by cutting out a 5cm by 5cm square from each corner of a square piece of metal and turning up the side. Find the dimensions of the original piece of metal
#3 If the radius of a certain circle were increased by 1 yard, its area would be increased by 15pie sq.yds Find the radius of the orginial circle
#4 The total area of two specific squares is 765 in2. The side of one square exceeds the side of the other by 3 in. How long is each side of each square?

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Question 524479: In a scale drawing of a playground, the total lenght is 5 cm. The actual length is 45 feet. If the actual width of the playground is 60 feet what is its width on the drawing?
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Question 524545: a square has a perimeter of 36cm.What is the lenght of one?

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