Questions on Word Problems: Geometry answered by real tutors!

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Question 171598: Latisha puts a fence around her back yard. She finds that she uses 15 more feet for each long side of the yard than she does for each width. If she used 70ft of fencing, how long is each side of her yard(answer with a length and a width).
Click here to see answer by stanbon(57967)

Question 171595: The measure of the second angle of a triangle is 30% more than that of the first angle. The measure of the third angle is 10% less than twice the first angle. Find the measures of all the angles.
I tried doing somethings but honestly i don't even know where to start.
Click here to see answer by stanbon(57967)

Question 165840: find the equation of the circle touching the line x+2y=8 at (0,4)and passing through (3,7).
Click here to see answer by Alan3354(31530)

Question 171545: If you are h feet above hte earth's surface, the distance, d, that you can see is approximately d (in miles)= square root of 3h/2.
Suppose you are on the roof of a building 900 ft. tall. How far can you see?(Calculate to two decimal places.)
Click here to see answer by midwood_trail(310)

Question 171653: According to the 1998 Guinness Book of World Records stuntman Dan Koko fell a distance of 365 feet into an airbag after jumping from the Vegas World Hotel and Casino. The distance d in feet traveled by a freefalling object in t seconds is given by the formula d = 16t 2. To the nearest tenth of a second, how long did the stuntman's freefall last?
Click here to see answer by Alan3354(31530)

Question 171737: The mean salary of 24 people is $9000. How much will one additional salary of $80000 increase the mean salary?
Please help me!! thank you
Click here to see answer by stanbon(57967)

Question 171739: A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor space, what should the dimensions of the rug be?
Click here to see answer by josmiceli(9817)

Question 171882: I need help solving this problem. A 12 by 25 by 36 cm cereal box is lying on the floor on one if its 25 by 36 cm faces. A bug, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?
Click here to see answer by Mathtut(3670)

Question 172249: 1.)a hexagon,a six sided figure,has two equal sides and four sides each measuring 12cm,16cm,18cm,and 24cm.find the length of one of the equal sides if the perimeter of the hexagon is 100cm.2.)In an isosceles triangle,there are two sides,called legs,with the same length.The third side is called the base.If an isosceles triangle has a perimeter of 345cm and base length of 85 cm,what is the length of each leg?3.)A triangle has sides with lengths in centimeters that are consecutive even integers.Find the lengths if the perimeter of the triangle is 186cm.
Click here to see answer by monika_p(71)

Question 172291: In an isosceles triangle the base is a whole number and is 4 ft. less than the sum of the two equal sides. The perimeter is a whole number between 0 and 75 feet. Find the possible lengths of the equal sides.
Click here to see answer by jojo14344(1512)

Question 172305: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20 degrees less than the measure of the second angle. What are the measures of the angles?
Click here to see answer by Mathtut(3670)

Question 172332: If the three angles of a triangle have equal measures, find that measure.
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Question 172336: Two angles are complementary. One contains 30 degrees more than the other. Find both angles.
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Question 172337: How large is an angle whose supplement contains 12 degrees less than three times its complement?
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Question 172325: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20° less than the measure of the second angle. What are the measures of the angles?
Click here to see answer by Edwin McCravy(8999)

Question 172568: four times a number is 21 more than the number. What is the number?
Click here to see answer by Mathtut(3670)

Question 172567: twice a number is 60 more than five times the number. What is the number?
Click here to see answer by Mathtut(3670)

Question 172784: I need help with this story problem.
A triangular lot has a perimeter of 54 yards of fencing. The longest side of the lot is 11 yards longer than the shortest side. The other side is 7 yards longer than the shortest side. Find the value of the three sides.
Click here to see answer by monika_p(71)

Question 172988: a ladder is 25ft long. the ladder needs to reach to a window that is 24ft above the ground.how far awayfrom the building should the bottom of the ladder be placed?
Click here to see answer by jim_thompson5910(28715)

Question 172992: What is the area of a polygon with points(10,6)(8,3)(6,-2)and (10,2)on a grid? and can you show me step by step how to do this
Click here to see answer by midwood_trail(310)

Question 173274: The lenght of a rectangle is 4cm more than its width and 4cm less than the length of a diagonal of the rectangle. What is the area of the rectangle?
Click here to see answer by ankor@dixie-net.com(15746)

Question 173453: if the perimeter of a rectangle is 20 feet anf the diagonal is 2 square root 13 feet, then what are the length and width?
Click here to see answer by solver91311(17077)

Question 173648: Width of a flower border A landscape architect has included a rectangular flower bed measuring 9 ft by 5 ft in her plans for a new buiding. 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 ft^2 for the border, how wide can the border be?
(9-2x)(5-2x)=24
45-18x-10x+4x^2=24
4x^2-28x+21=0
Click here to see answer by scott8148(6628)

Question 173891: The lengths of the sides of a triangle are consecutive even integers. Find the longest side is it is 22 units shorter than the perimeter.
Click here to see answer by ankor@dixie-net.com(15746)

Question 173922: the lenghof a retacgle is twice the width the perimeter is 42 inches.find the widht.
Click here to see answer by monika_p(71)

Question 173875: The length of a rectangle is twice the width. The perimeter is 84 cm more than the width. Make a diagram and find the rectangle's dimensions.
Click here to see answer by bob123132(33)

Question 174353: A professional painter can paint the interior of the Jacksons' house in 7 hours. John Jackson can do the same job in 12 hours. How long would it take these two people working together to finish the same job? Round to the nearest minute. Please solve step by step.
Click here to see answer by Mathtut(3670)

Question 174346: The area of a trapezoid is 465ft what is its top base if the altitude is 28ft and the bottom base is 20ft. please solve it step by step.
Click here to see answer by nerdybill(7008)

Question 174410: The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume. Find the radius of a spherical tank that has a volume of 32 times (pie)/3.
This question is very difficult and I cant figure out how to start.
Click here to see answer by ankor@dixie-net.com(15746)

Question 174569: This is one is tough!
A rectangular enclosure is made with 100 ft. of fencing on three sides. The fourth side is the wall of a barn. Find the greatest possible area of such an enclosure. My choices are as follows: A) 400ft^2 B) 625 ft^2 C) 1111.1 ft ^2 D) 2500ft^2.
Click here to see answer by nerdybill(7008)

Question 174573: 500 students are enrolled in at least two of these three classes: Math, English, and History. 170 are enrolled in both Math and English, 150 are enrolled in both History and English, and 300 are enrolled in Math and History. How many of the 500 students are enrolled in all three?

Click here to see answer by scott8148(6628)

Question 174686: how do i solve the quadratic equasion x^2+11x-80=0
Click here to see answer by stanbon(57967)

Question 174686: how do i solve the quadratic equasion x^2+11x-80=0
Click here to see answer by josmiceli(9817)

Question 174811: how do i solve x^2=11x-80=0 by graphing, and also solveing it using square roots
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Question 174982: the park's width is 70m more than half the length with the total perimeter of 1280m what is the width and length of the park's perimeter
Click here to see answer by checkley75(3666)

Question 174980: Companies like AT&T charge corporations additional fees for private networks between office locations. The fee is based on the minimum number of feet of cable used to connect the locations.At one time in the past, Delta Airlines had three main office locations, which roughly formed an equilateral triangle. The offices are labeled A, B, and C in the diagram, and there are lines connecting A to B and B to C, but not A to C. The line segments represent the best way to connect the cables. Delta wondered if there was a way to use less, so they hired a mathmetician to figure out a way to do so. The mathmetician determined that the best way is to create a cable junction directly in the middle of the equilateral triangle because it would save a lot. This diagram has the points A, B, and C in the same position, but no lines between them; instead there is a point D marking the exact middle of the triangle. From this there is segment AD, BD, and CD, slightly resembling a peace sign without the circle. Given this information, by what percent was the amount of cable reduced by creating a cable junction?
Click here to see answer by ankor@dixie-net.com(15746)

Question 175087: If a figure has a rotation symmetry, then can the least positive magnitude of a rotation that maps the figure onto itself be 27 degrees? explain why or why not
Click here to see answer by josmiceli(9817)

Question 175197: a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Click here to see answer by actuary(112)

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