Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 68075: 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.
Click here to see answer by whatsmath?(5)  |
Question 68515: 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.
Click here to see answer by josmiceli(19441)  |
Question 68515: 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.
Click here to see answer by stanbon(75887) |
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(22740)  |
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(22740) |
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(2933) |
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(6294) |
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(75887) |
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) |
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?
Click here to see answer by galactus(183)  |
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!
Click here to see answer by ptaylor(2198)  |
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.
Click here to see answer by funmath(2933) |
Question 71835: 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
Click here to see answer by stanbon(75887) |
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?
Click here to see answer by jim_thompson5910(35256) |
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?
Click here to see answer by josmiceli(19441) |
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.
Click here to see answer by stanbon(75887) |
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 ankor@dixie-net.com(22740) |
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(75887) |
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
Click here to see answer by Earlsdon(6294) |
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