Questions on Word Problems: Geometry answered by real tutors!

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Question 241309: The longest escalator in the world is located in Hong Kong, China. The escalator has a length of 745 ft and rises 377 ft vertical from start to finish. What is the horizontal distance from the bottom of the escalator to the top of the escalator?
A) 368 B) 643 C) 412896 D) 377 E) 600
Click here to see answer by checkley77(7072)

Question 241310: George Ferris built the first Ferris wheel for the World’s Exposition in Chicago in 1892. Its diameter was 250 ft. If this wheel rotated once every 5 minutes, what was the speed of a car on the circumference of the wheel in feet per second?
A) 157 ft/min B) 15.7 ft/sec C) 2.618 ft/min D) 2.618 ft/sec E) 157 min/hr
Click here to see answer by Theo(675)

Question 241152: A cylindrical container has 3 inches of water in it and is being filled at a rate of 1/2 inch per minute. The volume, V, of the water in the container is given by the function: V(h)=(π/4)h^3. Write a formula for the volume in terms of the time in minutes. Then, calculate the ammount of time that will take to fill the container to 70 cubic inches.
please.....help!!!!! i have been working from 2 hours!!!!!
and also (π = pi)mathematic pi.
Click here to see answer by ankor@dixie-net.com(6693)

Question 241053: The ratio of the diameters of two circles is 1:4. The ratio of their radii is
A) 1:2 B) 1:4 C) 1:8 D) 1:16
Click here to see answer by edjones(3299)

Question 240956: 2. Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
Answer:
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Answer: Length 22.5, Width 19.5
Show your work here:W=L-3
2W+2L=84
2(L-3)+2L=84
2L-6+2L=84
4L=84+6
4L=90
L=90/4
L=22.5 ANS. FOR THE LENGTH.
W=22.5-3=19.5 ANS. FOR THE WIDTH.
PROOF:
2*19.5+2*22.5=84
39+45=84
84=84

Click here to see answer by checkley77(7072)

Question 240740: The length of a certain rectangle is 3 cm greater than its width. If the width were doubled and the length were decreased by 1 cm, the new rectangle would have the same perimeter as the original. Find the dimensions of the original rectangle.
Click here to see answer by edjones(3299)

Question 240332: The midpoints of the sides of a square are connected to form a second square.The
midpoints of the sides of the second square are then connected to form a third square, and successive side midpoints are connected in the same way to form a fourth, fifth and sixth square. The area of the original square is 64 square inches. Determine the number of square inches in the area of the sixth square.

Click here to see answer by ankor@dixie-net.com(6693)

Question 240524: The height of a cylinder is twice the diameter. Express the total surface area A as a function of the height h.
This question really stump me can you show the work as well for me?
Click here to see answer by scott8148(3385)

Question 240478: the expressions 5x+13 and 10x-7 represent the lengths (in inches) of two sides of an equilateral octagon. find the length of a side of the octagon
Click here to see answer by solver91311(5072)

Question 240303: If an object is thrown upward with an initial velocity of 80 ft/sec, its height after t sec is given by h = 80t - 16t2 Find the number of seconds before the object hits the ground.
Click here to see answer by Alan3354(6097)

Question 240260: Suppose you are given a square and a circle and they both have the same area. The
circle has radius 1. What is the length of a side of the square?
Click here to see answer by ankor@dixie-net.com(6693)

Question 240112: find the distance between two parallel lines defined by the equations 3x+4y+5=0 and 3x+4y+2=0
Click here to see answer by edjones(3299)

Question 240045: how much would an ad cost if it measured 8cm by 10cm?
the original measurements are 5cm by 12 cm costing $1500.00
Click here to see answer by checkley77(7072)

Question 240003: The width of a room is 5ft more than 1/4 the length. The perimeter is 230 ft. What is the width of the room??
Click here to see answer by checkley77(7072)

Question 239474: A rectangular area of 40 square miles has a length equal to three times the width less 2 miles. Find the dimensions of this area.
Click here to see answer by checkley77(7072)

Question 239475: The Patel family had a square garden. They increased the size of the garden so that the new larger square garden is 144 square feet larger than the old garden. The new garden has a side that is 3 feet longer than double the length of the side of the old garden. What are the dimensions of the old and new garden?
Click here to see answer by checkley77(7072)

Question 239449: Flag pole is 24 feet and anchor cable is 10 feet away. How long is anchor cable?
Click here to see answer by unlockmath(121)

Question 239336: Area of the largest triangle that can be inscribed in a semi-circle of radius r units is
(A) r^2 sq. units b) 1/2 r^2 sq. units c) 2 r^2 sq. units
d)square root(2) r2 sq. units
Click here to see answer by Theo(675)

Question 239286: The length of a room is 5 less than twice the width. The perimeter is 80 feet.
Click here to see answer by anantha(74)

Question 239047: The base of an isosceles triangle is 12 cm longer than each of its equal legs. a second isosceles triangle whose perimeter is 85 cm has abase that is 15 cm shorter than the base of the first triangle. each of the equal legs of the second triangle is 8 cm longer than each leg of the first. how long are the three sides of each triangle?
Could you help me to find the equation you would use to solve this problem?
Click here to see answer by ankor@dixie-net.com(6693)

Question 238831: List the sides of triangle MNO in order from longest to shortest if m
Click here to see answer by unlockmath(121)

Question 238879: Packaging computers
The phillips paper company makes rectangular peices of cardboard for packing computers. The sheets of cardboard are to have and area of 99 square inches and the length of a sheet is to be 5 inches more than 2/3 its width. Determine the length and width of the cardboard to be manufactured.
I have tried 99=(2/3w^2 +5)(w) since Area= L X W so i get 99= 2/3w^2 +5w then i set it to 0 and i try to factor over and over again im just getting no wou
sihere please help!
thank you
sincerly me
Click here to see answer by ankor@dixie-net.com(6693)

Question 238801: A mountain is 10,495 feet above sea level, and a valley is 267 feet below sea level. What is the difference in elevation between the mountain and the valley?
Click here to see answer by rfer(2688)

Question 238728: A ladder is leaning against a house with its bottom 15 feet from the house. When the bottom of the ladder is pulled 9 feet further away from the house, the upper end slides 13 feet down. How many feet long is the ladder?
Click here to see answer by ankor@dixie-net.com(6693)

Question 238582: the state of colorado is almost perfectly rectangular, with its north border 111 mile longer than its west border. if the state encompasses 104,000 mi squared estimate the dimensions of colorado. round to the nearest mile.
Click here to see answer by checkley77(7072)

Question 238598: Given a rectagular Prism With dimesions w=3 , l=4, and h=6. If you created a second rectangular prism with the lenght double but the hieght halved( and the width stays the same), which would be the relation of the second volume to the first volume?
Click here to see answer by solver91311(5072)

Question 237996: A square coffee table has an area of 1936 square inches. What is the length of each side of the table?
Click here to see answer by edjones(3299)

Question 238035: The area of the square that can be inscribed in a circle of radius 8 cm is
(A) 256 cm2 (B) 128 cm2 (C) 64 2 cm2 (D) 64 cm2
Click here to see answer by edjones(3299)

Question 237730: Frank makes and sells small picture frames.
His revenue from sales can be represented as R= $13.60x for x frames sold.
The cost of making the frames can be represented as C= $5.80x + $120 for x frames made.
Determine the minimum number of frames Frank must make and sell in order for his revenue to be greater than his costs. Show your work or rpvide an explanation for your answer.
Click here to see answer by ankor@dixie-net.com(6693)

Question 237557: Given a rectangular sheet of cardboard that is 15 inches by 25 inches, a small square of the same size is cut from each corner. Each side of the cardboard is folded along the cuts to form a lidless box.
A)What is the maximum volume, V(x), of the box?
B)What size of the cut squares would produce a box with a volume equal to 400 cubic inches?
Click here to see answer by Theo(675)

Question 237556: The roadbed of one section of a suspension bridge is hanging from a large cable suspended between two towers that are 200 feet apart. The cable forms a parabola that is 60 feet above the roadbed at the towers and 10 feet above the roadbed at the lowest point.

A)Express the vertical distance D(x) (in feet) from the roadbed in to the suspension cable in terms of x and state the domain of D.
B)The roadbed is supported by seven equally spaced vertical cables. Find the combined total length of these supporting cables?
Click here to see answer by Theo(675)

Question 237420: I'm not sure how to set this up. " A Cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On the top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed directly to some grain on the level straight road between the towers. The pigeons reach the grain at the same time. How far is the grain from the foot of the cathedral tower?"
I was thinking of using the Pythagorean Theorem formula but, I didn't know which numbers to use for which.
please help if you can.

Click here to see answer by stanbon(26297)

Question 237201: Have 2 questions.
Question 1) The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace is √6 m. Find the width and the height.
Question 2) The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Click here to see answer by ankor@dixie-net.com(6693)

Question 237228: If the perimeter of a circle is equal to that of a square, then the ratio of their
areas is
(A) 22 : 7 (B) 14 : 11 (C) 7 : 22 (D) 11: 14

Click here to see answer by Theo(675)

Question 237228: If the perimeter of a circle is equal to that of a square, then the ratio of their
areas is
(A) 22 : 7 (B) 14 : 11 (C) 7 : 22 (D) 11: 14

Click here to see answer by rapaljer(3625)

Question 237178: Steve and Mimi are placing a border around a rectangular flower bed. One long side will be next to the house and will not have a border. The longer side is to be 3 feet more than the shorter side, and they have 24 feet of border is material. Find the length and width of the flower bed.
Click here to see answer by checkley77(7072)

Question 237128: The length of the base of an isosceles triangle is one third the length of one of its legs. If the perimeter of the triangle is 56 inches, what is the length of the base.
Click here to see answer by rfer(2688)

Question 237155: A book case is to have four shelves including the top. The height of the book case is to be 4.25 feet more than the width. Find the width and height of the book case if only 31 feet of lumber is available.
Click here to see answer by checkley77(7072)

Question 237113: A painter leans a 15-ft ladder against a house. The base of the ladder is 5 ft from the house.
a)To the nearest tenth of a foot, how high on the house does the ladder reach?
b) The ladder in part (a) reaches too high on the house. By how much should the painter move the ladder's base away from the house to lower to top by 1ft?
Click here to see answer by rfer(2688)

Question 237130: the width of an official volleyball court is half its length. The perimeter is 54 meters. find the dimensions of the court.
Click here to see answer by rfer(2688)

Question 237124: the perimeter of a rectangle is 200 feet. the width is two-thirds as long as length. what are the dimensions of the rectangle
Click here to see answer by rfer(2688)

Question 236877: im not sure why i cant pickout the most imporant info in these word problems please help...
If the length of a rectangle is 1km longer than twice the width then what is the length if the areaa is 55 square kilometer?
Click here to see answer by RAY100(1637)

Question 236860: the height of an object projected upward from ground level is given by h+-16t^2+128t where h is in feet and t is time in seconds. when will the object be 240 feet above ground level ...

please help i dont understand
Click here to see answer by Earlsdon(4900)

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