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Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 41003: Suppose you have two fish aquariums. One measures 4 feet long and 2 feet wide with a depth of 3 feet (see figure below. If you pour all the water into the other aquarium which is 7 feet long and 1.5 feet wide what is the depth of water in the second aquarium (Use V = lwh)?
Click here to see answer by 303795(562)   |
Question 61155This question is from textbook
: A family is traveling due west on a road that passess a famous landmark. At a given time the bearing to the landmark is N 62 W and after the family travels 5 miles farther the bearing is N 38 W. What is the closest the family will come to the landmark while on the road?
Question: I came up with obtuse triangle with angles of 28, 128, 24. Found length of the side to be 5.77.by using law of sines. the answer in the book is 4.55. What did I do wrong?This question is from textbook
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Question 65635: Solve each of the following problems. Be sure to show the equation used for the solution.
Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
Geometry. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
Click here to see answer by Earlsdon(4900) |
Question 66055This question is from textbook Beginning Algebra
: For the floor plans given in exercise 27: Points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).
Please help me with this problem and explain how to do this. Any help is apreciated.Thanks.This question is from textbook Beginning Algebra
Click here to see answer by algebrapro18(206) |
Question 66751This question is from textbook College Algebra 
: A rectangular piece of sheet metal with an area of 1200 in^2 is to be bent into a cylindrical length of stovepipe having a volume of 600 in^3. What are the dimensions of the sheet metal?
I am to come up with a system of equations to solve this problem. The sides of the rectangle are labeled x and y.
I know that {x*y=1200 in^2}; x would be the circumference of the cylinder which would mean that {x=2(PI)r}; the volume would be {(PI)r^2(y)=600 in^3}. I just can't figure out how to show it all in terms of y and x to figure out the equation. Thanks.
This question is from textbook College Algebra
Click here to see answer by Earlsdon(4900) |
Question 66863: A woman has a flower bed measuring 9 feet by 5 feet in her backyard. She wants to use two colors of flowers in the bed, one in the center and the other for a border of the same width on all four sides. If she has enough plants to cover 24 square feet for the border, how wide can the border be?
Click here to see answer by ptaylor(1578)  |
Question 66937: 6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.
Answer:
Show work in this space .
Click here to see answer by stanbon(26274) |
Question 67480: An open-top box is to be constructed from a 4 ft by 6 ft rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
Find the function V that represents the volume of the box in terms of x.
Click here to see answer by Earlsdon(4900) |
Question 67500: Nellie Flowers applied for the postion of gardener for the estate of the retired eccentric mathematics professor Ben Dannett. Professor Dannett proposed the same problem to each gardneing applicant. The first applicant who was clever enough to solve the problem would get the gardening position - with very handsome salary! Professor Dannett asked each applicant to draw the plans fora garden walk from the following description, showing all dimensions: The outer edges of the walk form a regular polygon, with each side measuring 36 meters. The inner edges of the wall are parallel to the outer edges, and they form the same type of regular polygon, with each side measuring 30 meters. Each interior angle of the regular polygon measures 160 degrees.Needles to say, no applicant had solved the professor's conundrum before Nellie. Nellie solved the problem, and she got the job. How many sides do each of the two regular polygons have?
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Question 67824: I have 2 problems
Find the volume, B=4ft
h=10ft
v=????
also, if you can help me understand the formulas for the volumes of rectangular prisms, spheres, cylinder, rectangular pyramids, cones and i think its called triangular prism. i dont understand how to get the volume.
thank you,
travis
Click here to see answer by stanbon(26274) |
Question 68038This question is from textbook Geometry
: In the says before automobiles were available, railways called "inclines" brought people up and down hills in many cities. In Johnstown, Pennsylvania, the Cambria incline was reputedly the steepest in the world when it was completed in 1893. It rises about 514 ft. vertically as it moves 734 ft. hortizontally.
-Use the distance formula to estimate the length of the track.This question is from textbook Geometry
Click here to see answer by josmiceli(3009) |
Question 68075This question is from textbook Geometry
: To support a young tree, you attach wires from the trunk to the ground. The obtuse angle the wire makes with the ground is supplementary to the acute angle the wire makes, and its three times as large. Find the measure of the angles.This question is from textbook Geometry
Click here to see answer by whatsmath?(5) |
Question 68515This question is from textbook
: An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the fence. (L and W) Assume L is greater than W.This question is from textbook
Click here to see answer by josmiceli(3009) |
Question 68515This question is from textbook
: An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the fence. (L and W) Assume L is greater than W.This question is from textbook
Click here to see answer by stanbon(26274) |
Question 69884: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total are, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
Thank you for helping, these problems confuse me all the time!
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 70252: A rectangular sheet of aluminum 300 inches long and 12 inches wide is to be made into a rain gutter by folding up the two longer parallel sides the same number of inches at right angles to the sheet. How many inches on each side should be folded up so that the gutter will contain the maximum volume of rainwater possible? Solve algebraically.
Click here to see answer by ankor@dixie-net.com(6693) |
Question 70379: can you help with this wordproblem....A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of the pole.Find the angle between the wire and the pole to the nearest degree.
Click here to see answer by funmath(2873) |
Question 70666: Problem: A basement has a 24-foot by 32 -foot rectangular floor. The basement is flooded with water to a depth of 18 inches. Three pumps are used to pump the water out of the basement. Each pump will pump 8 gallons of water per minute. If a cubic foot of water contains 7.5 gallons, how many minutes will it take to pump all of the water out of the basement using the three pumps?
What I have done: I found the volume to be 165,888ft^3. Do I set up a ratio of gallons/m to something? Do something with the 7.5 gall to ft^3? Find out how much each pump could pump and add?
Help!
Thanks for your time,
Charlene
Click here to see answer by Earlsdon(4900) |
Question 70669: Problem: A regular hexagon is inscribed in a circle with a two-inch radius. What is the side length of a square with the same area as the hexagon? Express your answer as a decimal to the nearest hundredth.
What I have done: made many drawings, Found the area of the trapexoid and then x 2 to get the area of the hexagon. I know that a regular hexagon has all equal sides.
Thanks for your help,
Charlene
Click here to see answer by stanbon(26274) |
Question 70894: Hi, I am trying to solve what should be a simple problem, but can't figure it out. I would appreciate some help.
The Hypotenuse of a right triangle measures 13 cm. Find the lengths of the legs if their sum is 17 cm.
I tried setting one side to x, and the other to 17-x and setting them up in the pythagorean theorem, but had no luck, so I know I am doing something wrong.
Thank you,
Jodi
Click here to see answer by checkley75(3666) |
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