Questions on Word Problems: Geometry answered by real tutors!

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Tutors Answer Your Questions about Geometry Word Problems (FREE)


Question 155899: One of the important cities of the ancient world was Babylon. Greek historians wrote that the city was square-shaped. Its area numerically exceeded its perimeter by about 124. Find its dimensions in miles. Round to the nearest tenth.
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Question 155898: A farmer intends to contruct a windscreen by planting trees in a quarter-mile row. His daughter points out that 44 fewer trees will be needed if they are planted 1 foot father apart. If her dad takes her advice, how many trees will be needed. A row starts and ends with a tree. (1 mile= 5,280 feet)
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Question 156165: Hello;
I was wondering if you could help me with the following problem;
What is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1)?
Sorry, I don't have book's name or the number.

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Question 156021: the second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. Find the measures of the angles
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Question 156292: The width of a rectangle is 5ft. less then the length. The area of the rectangle is 176ft^2 Find the length and width of the rectabgle. I tried looking in my math and other books for examples and can't seem to find one.Please help
Thanks

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Question 156285: Lori decides to paint Marie's room a shede of blue. She measures the height and width of each wall in the rectangular room. She finds that two walls have a width of 12 feet and the other two have a width of 14 feet. The ceiling is 9 feet high. Find the area of each wall. Find the total area of all four walls plus the ceiling.
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Question 156490: Karen is in the center of a circular track of radius 90 feet watching Abigail and Mercury run a race. When Abigail wins, Karen notices that the angle formed by drawing a line from the center of the track to Abigail and a line from the center of the track to Mercury measures 4 radians. How far, in feet, behind Abigail is Mercury when Abigail wins?
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Question 156530: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 180 cm, what is the length of the diagonal?
Note: Your answer must be a number. It may not contain any arithmetic operations.
The length of the diagonal is?

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Question 156509: The box with a volume of 70 inches. Volume = length width and height each side is a prime number of inches long what is each sides length?
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Question 156624This question is from textbook Prentice Hall Mathematics Algebra 2
: 33) The sides of a rectangle are in the ratio 3 : 2. What is the length of each side if the perimeter of the rectangle is 55 cm?
34) The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 30 cm?
This question is from textbook Prentice Hall Mathematics Algebra 2

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Question 155858This question is from textbook
: Suppose a company offers you a sales position with your choice of two methods of determining your yearly salary. One Method pays 12600.00 plus bonus of 2% of your yearly sales. The other method pays a straight 8% commission on your sales. For What yearly sales amount is it better to choose the first method?This question is from textbook

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Question 156423: What is the equation for -The dimensions fo the solar-room are 10 feet by 20 feet with its longest dimension parallel to the wall of the house. the glass roof is flat at a height of 8 feet. the glass squares are 2 feet by 2 feet. how many pieces of glass do you need to buy to build the solar room.
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Question 156797: The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base
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Question 156797: The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base
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Question 156845: if one leg of a triangle is 14 meters shorter than the other leg, and the hypotenuse is 26 meters, find the length of the two legs.

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Question 156936This question is from textbook PRECALCULUS Mathmatics for Calculus 4th
: I can't figure out how to even start this:
The hypotenuse of a right triangle has length 20 cm. The sum of the lengths of the other two sides is 28 cm. Find the lengths of the other two sides of the triangle.
This question is from textbook PRECALCULUS Mathmatics for Calculus 4th

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Question 156174This question is from textbook College Algebra
: Ski Jump. The base of a ski ramp forms a right triangle. One leg of the triangle is 2 meters longer than the others. If the hypotenuse is 10 meters, then what are the lengths of the legs?This question is from textbook College Algebra

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Question 157412: find the next two tterms in each sequence
5, 10, 20, 40,__,__
o,t,t,f,f,s,s,e,__,__
j,f,m,a,m,__,__
1,2,6,24,120,__,__

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Question 157618This question is from textbook Algebra Structure and Method
: The length of the sides of a triangle are consecutive even intergers. Find the length of the longest side if it is 22 units shorter than the perimeter.This question is from textbook Algebra Structure and Method

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Question 157625: Gloria had a rectangular garden plot last year with an area of 60 square feet. This year, Gloria's garden plot is one foot wider and three feet shorter than last year's garden, but has the same area. What were the dimensions of the garden last year?
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Question 157656: the chairs for a concert are arranged so that each row has the same number of chairs. sarah has 4 chairs in front of her, and 8 chairs behind her. there are 5 seats to her left and 6 to her right. how many chairs are set up?
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Question 157749: how would this be factored?
3x^3y^2-3x^2y^2+3xy^2

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Question 157797: If there is a plot of land that is 24 by 30. And surrounding the land is a walkway that has an area of 247 ft. sq. what is the width of the walkway.
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Question 157796: if there is a plot of land that is 24 by 60. And surrounding the land is a walkway with an are of 247 ft sq. What is the length of the width of the walkway.
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Question 157975: Mathematicians have been searching for a formula that yields prime numbers. One such formula was x2 - x + 41. Select some numbers for x, substitute them in the formula, and see if prime numbers occur. Try to find a number for x that when substituted in the formula yields a composite number. All of the first number are squared such as 1 squared (not 12), 2 squared, 3 squared, etc.
12 - 1 + 41 = 0 + 41 = 41
22 – 2 + 41 = 16 – 2 + 41 = 14 + 41 = 55
32 – 3 + 41 = 9 – 3 + 41 = 47
42 – 4 + 41 = 16 – 4 + 41 = 65
52 – 5 + 41 = 25 – 5 + 41 = 61
62 – 6 + 41 = 36 – 6 + 41 = 73
72 – 7 + 41 = 49 – 7 + 41 = 83
82 – 8 + 41 = 64 – 8 + 41 = 97
92 – 9 + 41 = 81 – 9 + 41 = 113
I say there is no number you can put into this equation and get a composite number. Is that correct?

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Question 158810: a right triangle has hypotenuse with a measure of 20 cm and a perimeter of 47cm. find the measure of the remaining sides.
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Question 158798: Person on 3rd base walks at a rate of 6' per sec., person on 1st base jogs at a rate of 10' per sec. How long will it take them to be 270' apart? My teacher says its not a time, distance, rate problem but a triangle problem. I'm confused.
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Question 159079: A person 122 cm tall casts a 37 cm shadow at the same time a tree casts a 148 cm shadow. How tall is the tree?
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Question 159183: My math teacher has asked me to find the n^th term for the fourth diagonal in Pascal's Triangle. Basicly, he has asked me to find a formula that will find the next number for the fourth diagonal. I've tried all sorts of charts to derieve a formula but none have yeilded any.
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Question 159336: The length of a rectangle is 5 less than three times the width. If the perimeter is 150 inches,what are the dimensions of the rectangle?
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Question 159316: a cylindrical hot water tank is 1.800 meters high and has a 0.500 meter diameter.
A.Compute the volume of the tank.
B. How many liters of water are held in this tank when full? Round the answer to 3 significant digits.

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Question 159331: The steeple of a building is in the shape of a regular pyramid with a triangular base.Each of the 3 base sides is 4.6 meters long,and the steeple is 7.0 meters high. Compute the number of cubic meters of air space contained in the steeple. Round the answer to the nearest cubic meter.
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Question 159321: A 0.460 inch diameter brass rod is 8'5 7/32 long. Round answers to A. and B. to 3 significant digits.
A. Find the volume in cubic inches, of the rod.
B.Compute the total weight of 40 rods. Brass weighs 0.300 pound per cubic inch.

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Question 159328: A container is in the shape of a right cicular cone. The base area is 4.8 square feet and the height is 1.5 feet. Compute the capacity of the container in gallons.
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Question 159406: The length and width of a rectangle are consecutive odd integers. The area of the rectangle is 63 square units. How long is the longest side of the rectangle?
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Question 159421: Please help..(I am the mom :)
The length of a rectangle is 3 times the width. The perimenter is 96 cm. Find the width and the length.
I know that P= 2(L+W). But I can't figure out the correct equation to get the length and width.
Thanks,KS

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Question 159421: Please help..(I am the mom :)
The length of a rectangle is 3 times the width. The perimenter is 96 cm. Find the width and the length.
I know that P= 2(L+W). But I can't figure out the correct equation to get the length and width.
Thanks,KS

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Question 159458: A rectangular swimming pool has a length of 10 feet and a width of 8 feet. The water in the pool has a depth of 6 feet. If you add 40 cubic feet of water to the pool, how much will the depth of the water increase?
I don't understand what formula to use, or how to figure it out.

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Question 159620: The area of a square is a 1/4 as large as the area of a triangle. The triangle has a 16 inch side and altitude H the same as the square. Draw the diagrams. Find the length of the side of the square.
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Question 159584: Would you please help me solve this problem.
It is in regards to indirect measurement.
I need to find the height of a flagpole.
There is a person who is 5'.9" tall. His shadow is 12'. The shadow of the flagpole is 30'. I have to find the height of the flag pole. Do I convert everything to inches? 12/30 = 5'.9"/x
or do I do 144/360 = 69/x? (This is a conversion of feet into inches). Every answer I come up with does not make sense.

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Question 159720: The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2 feet more than the width, what are the dimensions?
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Question 159731: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.
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Question 159731: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.
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Question 159747: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
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Question 159747: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
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