Questions on Word Problems: Geometry answered by real tutors!

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Question 143596: A store sign is 9m high. The maximum length of the ladder is 10m Will the top of the ladder safely reach the sign? The ladder is 2m from the wall and the angle betweeen the ladder and the ground 75.5 degrees. Explain
Click here to see answer by vleith(2825)

Question 143594: Two cabins, A and C are located 450m apart on the bank of a river. Across the river from the two cabins is a boathouse at B. Use the information in the diagram to calculate the width of the river. Angle CAB is 70 degrees. Angle BCA is 30 degrees.

Click here to see answer by vleith(2825)

Question 143778: There are 126 different figures that can be formed using four of the 9 dots in the figure below.
. . .
. . .
. . .
What is the probability that if you select four dots at random and connect them, the figure will be a square? Any help would be great. Thanks

Click here to see answer by oscargut(891)

Question 143838: Please help me solve this equation:
The length of a rectangular room is 3 feet less than twice its width. Find the dimensions of the room if the perimeter is 54 feet.
Click here to see answer by checkley77(12569)

Question 143843: A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.50 per ft^2, determine the size of the garden that can be enclosed for $120.
Thanks
Click here to see answer by scott8148(6628)

Question 143980: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
This problem is included in a chapter that has factoring equations and the Pythagorean theorem. I would appreciate any help - thanks!
Click here to see answer by vleith(2825)

Question 144051: Can someone help me with the problem below, thanks.
Six distinct points lie on the circumference of a circle. How many inscribed quadrilaterals can be drawn having four of these points as vertices?
Thanks again.
Click here to see answer by stanbon(57203)

Question 144280: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give answer in terms of pi.
Find the volume of water. The volume is the area x length.
The area of the segment is:

The values listed (using an Excel sheet I made) give a cross-sectional area of:
10.10963 sq ft
6 times that is: 60.657787 cubic ft
The volume of a "vertical" cylinder is , in this case PIx4xh, so
h = Vol/4PI, which is 4.82699 feet. In terms of PI, it's 15.16445/PI

Click here to see answer by Alan3354(30935)

Question 144207: an aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. Use p=3.14 as an approximate value. (a) how many square inches in area is the aluminum plate (the shaded region)? (b) If the cost to construct the plate is &7.50 per square inch, what is the construction cost?
Click here to see answer by checkley77(12569)

Question 144485: if the ratio of the measures of the interior angles of a quadrilateral is 3:5:7:9
what is the measure of the largest angle of the quadrilateral ?
Click here to see answer by ikdeep(226)

Question 144568: You have three boxes, one containing 1000 grapes, one containing 1000 grapes and 500 olives. The boxes were labelsed for their content, but someone has switched the labels so that every box is now incorrectly labeled. You are allowed to take one item at a time out of the box, without looking inside, and by this process of sampling, you are to determine the contents of all three boxes. What is the smallest number of drawings needed to do this?
Click here to see answer by Alan3354(30935)

Question 144617: If you were given three points on a coordinate plane and asked to determine if they were connected they formed:
a right triangle
a scalene triangle
an equilateral triangle
How would you explain how to make each of these triangles using the points.
Click here to see answer by nabla(475)

Question 144637: The floor of a rectangular room that measures 10 feet by 12 feet is partially covered by a circular rug with a radius of 4 feet. What percent of the floor is covered by the rug? (Hint: The area of a circle is A=(oie sign)r2).
So I know that radius of the rug which I believe is 16 (pie sign) which means that 44 is the entire area - 16 which leaves you with 28, I'm just having a problem with how to set this problem up and come up with the answer which I believe is right around 63.6363% but I still need to know how to set up the problem.
Thanks for any help
Click here to see answer by Alan3354(30935)

Question 144690: You are filling paper cones with popcorn for a party. The radius of each cone is 8 centi. and the height is 15 centi. Find the amount of popcorn needen to fill the paper cone to the nearest cubic centi.

Help given with this problem would be greatly appreciated.
Click here to see answer by solver91311(16868)

Question 144897: the perimeter of a rectangle is 50 m. The width of the rectangle is 5 m less than the length. find the length and width of the rectangle
Click here to see answer by Alan3354(30935)

Question 144879: not sure if this is right
6. (4 pts)
1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded – one for $400, one for $200, and five for $50. Steven purchases one of the tickets.
400(1/1000) + 200(1/1000) + 50(5/1000) – 2(993/1000) = -1.14
a) Find the expected value expected value is -$1.14
b) Find the fair price of the ticket. ?????

Click here to see answer by solver91311(16868)

Question 144877: Not sure if this is right
7. (2 pts)
Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space? 5*4 = 20 ??

Click here to see answer by solver91311(16868)

Question 145114: A ladder 5m long is leaning against a wall 12m high. The foot of the ladder is 4m from the base of the wall.The distance,in m,from the top of the ladder to the top of the wall is:
Click here to see answer by checkley77(12569)

Question 145188: A tree of height 4.5 m casts a shadow of 3.0 m then the height ,in metres, of a tree casting a 2.8 m shadow is
Click here to see answer by nerdybill(6948)

Question 145196: If the perimeter of a rectangle is 34 ft and the width is 8 ft, find its length. [Hint: The perimeter of a rectangle is given by P = 2L + 2W.]
Click here to see answer by jojo14344(1512)

Question 145407: A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder, if the distance of its top to the ground is 4 feet less than the length of the ladder.
Click here to see answer by ankor@dixie-net.com(15622)

Question 145433: The width of a rectangle gate is 2 meters larger than its height. The diagonal brace measures the square root of 6 m. Find the width and height.
This problem is included in a chapter that deals with quadratic equations. Thanks for any help you can give me!
Click here to see answer by stanbon(57203)

Question 145549: A livestock pen is built in the shape of a rectangel that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the longer sides and $2.25 per foot for the shorter sides, find the cost to build the pen.
Click here to see answer by ankor@dixie-net.com(15622)

Question 145846: The length of a rectangle is twice its width. If the perimeter of the rectangle is 30cm , find its area.
Click here to see answer by checkley77(12569)

Question 145975: Two similar triangles have perimeters of 15 and 8. If the area of the larger triangle is 100, find the area of the smaller triangle rounded to the nearest tenth.
Click here to see answer by checkley77(12569)

Question 145881: If you drew 11 rays in the interior of an angle how many angles have you formed?
Click here to see answer by scott8148(6628)

Question 146235: How much is an acute angle?
Click here to see answer by Earlsdon(6287)

Question 146493: hello again guys...!Here's my question:
A vertical pole was broken by the wind. The upper part, still attached, reached a point on the level ground 15 feet from the base. If the upper part is 9 feet longer than the lower part, how tall was the pole?

Click here to see answer by jim_thompson5910(28476)

Question 146596: Hardwood flooring costs $90.00 per square meter. How much will it cost (to the nearest dollar) to cover the dance floor shown in the figure just below with hardwood flooring?
The figure is of a capsule-shaped dance floor that has two semicircles on opposite ends and they have a radius of 20 feet each. The middle of the dance floor is a rectangle with a length of 20 meters.
******************************************************************************
So what I did first was use convert the 20 ft to meters which equalled apporximately 65.6 m each. Then I used the formula d= 2r to find the width of the rectangles which came out to 131.2 m...then I got stuck!!!!
PLEASE HELP
Click here to see answer by scott8148(6628)

Question 146772: This Is a work problem. Please help me solve.
If a painter can paint a house in 12 days and another painter can paint
the same house in 8 days, how long will it take the painters together paint the
house?
Please show steps.
thanks,
Click here to see answer by nerdybill(6948)

Question 146825: a painting is 3 inches longer than it is wide. it is set in a rectangular border that is 2 inches wider than the painting on each side. if the area of the border is 100 inch^2 what are the dimensions of the painting
Click here to see answer by edjones(7569)

Question 147047: The perimeter of a rectangle is one more than twice it's width. If the perimeter is 74inches, find the dimensions of the rectangle.
I have tried to us this: Given: p=2w+1, p=74, 2p+2l=74. Find: p=perimeter, and w=width. Equation:P=2l+2w. Work: P=2l+2W. 74=2l+2W: 74=2w+1. 73=2w. w=36.5.
74=2l+2*36.5. 74=2l+73. 1=2L.1=L. Length=1 inch. Width=36.5inches.
My friends say I am wrong. The width CAN NOT be longer than the length. Are they correct? If so, then what are the correct answers? If the answers are correct, but the problem is wrong. How would the problem be changed to make it right?
Click here to see answer by nerdybill(6948)

Question 147046: The perimeter of a rectangle is one more than twice it's width. If the perimeter is 74inches, find the dimensions of the rectangle.
I have tried to us this: Given: p=2w+1, p=74, 2p+2l=74. Find: p=perimeter, and w=width. Equation:P=2l+2w. Work: P=2l+2W. 74=2l+2W: 74=2w+1. 73=2w. w=36.5.
74=2l+2*36.5. 74=2l+73. 1=2L.1=L. Length=1 inch. Width=36.5inches.
My friends say I am wrong. The width CAN NOT be longer than the length. Are they correct? If so, then what are the correct answers? If the answers are correct, but the problem is wrong. How would the problem be changed to make it right?
Click here to see answer by edjones(7569)

Question 147090: I need help on how to solve this word problem.
(((The area of triangle is 462m^2 if the altitude is 2m longer than half the base find the altitude and base of the triangle.)))
Click here to see answer by checkley77(12569)

Question 147098: Please help me to solve this word problem in step-by-step process.(((Ron found that his car used 7 gallons of gas to travel 200 miles. He plans to drive 1300 miles from his home to Denver, Colorado. How many gallons of gas will he use if his car continues to consume gas at the same rate? Round to the nearest gallon.)))
Click here to see answer by Fombitz(13828)

Question 147101: Please help me solve this word problem step-by-step.
(((The Perimeter of the rectangular is 320ft if the length is 5ft longer than twice the width. Find its length and width.)))
Click here to see answer by Fombitz(13828)

Question 147103: Thanks for the help on the other problem. Please help me on this word problem too.
(((The first angle of a triangle measures 20 degrees larger than the second angle of a triangle. The third angle measures twice as large as the second angle. Find the measures of these three angles.)))
Click here to see answer by josmiceli(9645)

Question 147102: Please help me to solve this word problem step by step.
(((Sally runs the family farm in Boone, Iowa, She can plow the fields of the farm in 20hrs. Her daughter Brenda can plow the fields of the farm in 30hrs. If they have identical tractors, how long would it take Brenda and Sally to plow the fields of the farm if they worked together?)))
Click here to see answer by ankor@dixie-net.com(15622)

Question 147138: 2. In a certain triangle the measure of one angle is double the measure of a second angle but is 5 degrees less than the measure of the third angle. If the sum of the measures of the three interior angles of a triangle is always 180 degrees, form an algebraic equation to express the problem, and identify the variables, coefficients, and constants of the algebraic expression.
Click here to see answer by ankor@dixie-net.com(15622)

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