Questions on Word Problems: Geometry answered by real tutors!

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Tutors Answer Your Questions about Geometry Word Problems (FREE)


Question 70973: If the sides of a square are decreased by 3cm, the area is decreased by 81 cm^2. What were the dimentions of the original square?
My answer for this one was 15cm by 15cm. Is this correct?
Thanks.

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Question 71131: The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
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Question 71203This question is from textbook Beginning Algebra
: The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box.
I am having a hard time with this and need some help. Thanks.
This question is from textbook Beginning Algebra

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Question 71281: can you help me solve this: You have climbed to the top of a tall tree. When you get to the top, you use your clinometer to discover that the angle between the tree and the line of sight to your red lunchbox is 30º. You know you left the lunchbox 20 meters from the base of the tree. How tall is the tree?
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Question 71419: Someone please help!
One angle of a triangle exceeds another by 23 degrees. The third is 6 degrees less than the sum of the others. Find the measure of the angles.
I would really appreciate it if someone could help with this problem!
thanks!

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Question 71419: Someone please help!
One angle of a triangle exceeds another by 23 degrees. The third is 6 degrees less than the sum of the others. Find the measure of the angles.
I would really appreciate it if someone could help with this problem!
thanks!

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Question 71642: Please help,thank you.
The length of a rectangle is 1 cm longer than it's width. If the diagonal of the rectangle is 4cm,what are the dimensions(the length and width)of the rectangle?

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Question 71745: Suppose you were north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y and x-axis respectively. Round to the tenth's place.
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Question 71757: Mitch is at the top of Grizzly ski run. His brother bill is looking up the hill from the ski lodge which 200 feet away at an angle of 45. What is the height of the ski run?

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Question 71835This question is from textbook basic mathematics
: I need to know how to set up the following problem not the answer. The perimeter of a rectangular writing pad is 28 inches. The length is 1 inch less than twice the width. What did I do wrong in setting the problem up?
P= 2l + 2w, length is 2x-1
This question is from textbook basic mathematics

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Question 71907: the old lion cage at the zoo was a square, with sides x meters long. For part of the zoo's 50th b-day celebration, the zoo expanded the length and width of the cage. The expression for total area of the new cage is (x^2 + 18x + 81). square meters.
a.robert thinks the length was incresed by 6 meters and the width was increased by 8 meters. is he right? explain why or why not.

b.How much did the zoo expand the length and width of the cage?

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Question 71906: the old lion cage at the zoo was a square, with sides x meters long. For part of the zoo's 50th b-day celebration, the zoo expanded the length and width of the cage. The expression for total area of the new cage is (x^2 + 18x + 81). square meters.
How much did the zoo expand the length and width of the cage?

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Question 72220: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.

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Question 73603: A party of 8 people ordered a large round pizza. The waiter a real show-off divided it into 8 equal pieces with only 3 straight cuts of the knife. How did he do this?
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Question 73596: can you please assist me in solving this problem...the volume of the box is represented by (x^2+5x+6)(x+5)...find the polynomial that represents the area of the bottom of the box.
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Question 73665: Geometry. The length of a rectangle is 2 in. more than twice its width. If the
perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

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Question 73932: An open top box is to be constructed from a 6 foot by 8 foot rectanglar cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)find the function V that represents the volume of the box in terms of x
b) graph the function and show the graph over the valid range of the variable x
c) Using the graph, what is the value of x that will produce the maximum volume?

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Question 73932: An open top box is to be constructed from a 6 foot by 8 foot rectanglar cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)find the function V that represents the volume of the box in terms of x
b) graph the function and show the graph over the valid range of the variable x
c) Using the graph, what is the value of x that will produce the maximum volume?

Click here to see answer by stanbon(26274) About Me 

Question 73933: Logarithms
a) Using a calculator, find log 10000where log means log to the base of 10
b)using the formula log,a=log a /log b, find log210000.round your answer to the hundreths place. show work

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Question 73937: using the formula log, a = log a/log b find log^2 10000 round your answer to the hundreths place and show your work.
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Question 74138: For the home described in exercise 15, (A homeowner wishes to insulate her attic with fiber glass insulations to conserve energy. The insulation comes in 40-cm wide rolls that are cut to fit between 2 m high at the peak).if the roof is 7 m from the peak to the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
I am needing some assistance with this problem, I am confused with this and not sure how to go about solving. Thanks

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Question 74301: A RECTANGULAR CHALK BOARD IS 3 TIMES AS LONG AS IT IS WIDE. iF IT WERE 3 METRES SHORTER AND 3 METRES WIDER, IT WOULD BE A SQUARE. wHAT ARE THE DIMENSIONS OF THE CHALK BOARD?
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Question 74303This question is from textbook Beginning Algebra
: Find the length x in each triangle. Express your answer in simplified radical form.
Side 1: 17 Side 2: x Bottom: 8
I am needing help with tiangles and finding the length while simplifing the radical form. Thanks for your help.
This question is from textbook Beginning Algebra

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Question 74330: The length of a rectangle is 2 in. more than twice its width. If the
perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

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Question 74479: Diameter AB of circle O is 21 inches. Line AB is extended through B to a point C, and tangent Line CD is drawn, meeting the circle at D. CD is 6 inches longer than BC.
a) Let x represent BC. Express CD and CA in terms of x
b) Find BC

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Question 74621: The length of a rectangle is 3 in. more than twice its width. If the perimeter of the rectangle is 36 in., find the width of the rectangle.
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Question 75344: A football field is a rectangle 300 ft long and 60 ft wide. The end zones add another 30ft of length at each end. How much greater is the perimeter of the field with the end zones than without them
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Question 75470: Here is the question. I even know the answer. However, I do not know how to solve it.
"A woman walks home by traveling 20 meters north, 25 meters east, and then 5 more meters north. If she could walk home along a straight line, how many fewer meters would she need to walk? Round your answer to the nearest hundredth."
The answer is 14.64 meters.

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Question 75524This question is from textbook McDougal Littell Middle School Math Course 2 2004
: Hi - Please help. My son has a problem on a worksheet that I cannot help him figure out. An 18 Ft ladder is leaning against a wall. If the base of the ladder is 9 Ft from the wall, how far up the wall will the ladder reach? Thank You!! This question is from textbook McDougal Littell Middle School Math Course 2 2004

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Question 75472This question is from textbook
: Concrete is sold by the yard, which means by the cubic yard. It costs $70 per yard. How many cubic feet are in a cubic yard? How much would it cost to pour a slab that is 14ft by 16ft by 6in for a patio?This question is from textbook

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Question 75657: If the perimeter of a rectangle is 18ft and the width is 5ft, find its length.
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Question 75750: Solve the following problem showing your work.
Geometry. If the sides of a square are decreased by 2 cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

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Question 75820: Question: The Hypotenuse of a right triangle exceeds the longer of the two legs by 2. If the perimeter of the triangle is 40, find the lengths of the sides of the triangle.
I came up with the answer, but I have to show an algebraic solution which I did not do.

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Question 75800: w..8
I need help understanding step by step i got them wrong for my homework so what is the right way to solve them.
Problem #6
Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?Give all answers to the nearest thousandth.

Problem #22
Science and medicine. The equation gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to
reach a height of 180 ft.Give all answers to the nearest thousandth.

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Question 75837: "A" and "B" start from the same point and travel along the road that are right angles to each other. "A" travels 3 miles an hour faster than "B". At the end of 2 hours, they are 30 miles apart. Find their rates.

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Question 75835This question is from textbook Beginning Algebra
: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
I am needing some help with this, can you please help me? Thanks
This question is from textbook Beginning Algebra

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Question 76022: A rectangular garden is to be surrounded by a walkway of width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the earest thousandth?
The answer I came up with is 5.430 ft. Is this correct? Thanks

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Question 76317: A kite is flying at the end of a 300-foot string. It is 120 feet above the ground. About how far away horizontally is the person holding the string from the kite?
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Question 76472: An arch is semi-elliptical with a base that is 20 feet wide and a height at the center of 8 feet. How high is the arch 6 feet from the center of the base?
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Question 76904: Hi, I'm not sure if I chose the right topic, but anyways, I need help on a problem with a really strange equation. The problem states this: An object is thrown up into the air at a rate of 24 meters per second from a height of 2 meters. Given that the acceleration due to gravity is -9.8 meters per second squared, write an eqaution for the height of the object, h, in terms of the number of seconds since the object was thrown, t.
My teacher said to use this formula to write my eqaution: h=1/2gt^2+vt+h^0. The ^0 part of the eqaution is actually underneath the right hand side of the h, kind of like an underscore 0. I tried to plug in the numbers, but it did not come out right. I did: h=1/2(-9.8)t^2+24t+2. I was not sure what the underscore zero meant, so I left it out. Could you please help me write my equation? Thanks.

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Question 76904: Hi, I'm not sure if I chose the right topic, but anyways, I need help on a problem with a really strange equation. The problem states this: An object is thrown up into the air at a rate of 24 meters per second from a height of 2 meters. Given that the acceleration due to gravity is -9.8 meters per second squared, write an eqaution for the height of the object, h, in terms of the number of seconds since the object was thrown, t.
My teacher said to use this formula to write my eqaution: h=1/2gt^2+vt+h^0. The ^0 part of the eqaution is actually underneath the right hand side of the h, kind of like an underscore 0. I tried to plug in the numbers, but it did not come out right. I did: h=1/2(-9.8)t^2+24t+2. I was not sure what the underscore zero meant, so I left it out. Could you please help me write my equation? Thanks.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 77328: Problem #6
Solve each of the following applications give answers to the nearest thoudandth.
The length of one leg of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle?

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Question 77497: A rectangular picture window is 5 ft by 8 ft. Polly wants to put a trim molding around the window. How many feet of molding should she buy?
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Question 77613: Find the 10th term of the geometric sequence in which the first term is 3 and the 6th term is 96?
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Question 77613: Find the 10th term of the geometric sequence in which the first term is 3 and the 6th term is 96?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745