Questions on Word Problems: Geometry answered by real tutors!

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Question 1039707: 1. if the diagonals of a square are drawn i, how many triangles of all sizes are formed?
2.describe how polya's four steps were used to solve part a.

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Question 1040295: Find the length of x it's a triangle with 25m and 15m find x
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Question 1040347: 1.The ratio of the interior angles of a Euclidean triangle is 4:5:6. Find the measure of each angle.
2.The length of a rectangle is three more than twice its width. What are the dimensions of a rectangle if its perimeter is 78 cm?
Thank you

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Question 1040366: Which of the following has the same relationship as the words below:
Circle:cylinder
A. Triangle:sphere
B.square:window
C.rectangle:box
D.pentagon:counter

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Question 1040481: A window is to be constructed as shown, with its upper boundary the arc of a circle having radius 4 ft and center at the midpoint of base AD. If the vertical side is to be 3/4 as long as the base, find the dimensions (vertical side and base) of this window
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Question 1040524: A cuboid has a total surface area of 67m² and its lateral surface area is 53m². Find its area base.
Show working out..

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Question 1040549: the side of a square equals the length of a rectangle. the width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 240 square centimeters. find the side of the square.
Click here to see answer by Boreal(15235) About Me 

Question 1040367: ART Hans purchased a painting that is 30 inches tall that will hang 8 inches
above the fireplace. The top of the fireplace is 55 inches from the floor.
a. Write a function modeling the maximum viewing angle θ for the distance d
for Hans if his eye-level when sitting is 2.5 feet above the ground.

b. Determine the distance that corresponds to the maximum viewing angle.

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Question 1040574: If the length of a rectangular parking lot is ten meters less than twice its width and the perimeter is 400 meters, find the length of the parking lot
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Question 1040655: the area of a rectangular vegetable garden is 12x^2 y+28x,find its perimeter
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Question 1040653: What is the possible answer to the following equations
1. 15+4×3÷16
2. 8×10÷5+7
3. 42+16÷8×5
4. (2×6)÷4+8
5. 4×9-[(12-5)÷7]

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Question 1040722: The perimeter of a rectangle is 50cm.
It's length and breadth being a natural number
Which can be its area?
1. 25 sq cm
2. 156 sq cm
3. 125 sq cm

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Question 1040798: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 22 cm more than the shorter leg and the hypotenuse 44 cm more than the shorter leg. How long should the sides of the triangle​ be?
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Question 1040831: A gardening company is designing a rectangular compost container that will be twice as tall as it is wide and must hold 18 ft3 of composted food scraps. Find the dimensions of the compost container that has minimal surface area. (include the top and bottom of the container)
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Question 1040831: A gardening company is designing a rectangular compost container that will be twice as tall as it is wide and must hold 18 ft3 of composted food scraps. Find the dimensions of the compost container that has minimal surface area. (include the top and bottom of the container)
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Question 1040831: A gardening company is designing a rectangular compost container that will be twice as tall as it is wide and must hold 18 ft3 of composted food scraps. Find the dimensions of the compost container that has minimal surface area. (include the top and bottom of the container)
Click here to see answer by robertb(5830) About Me 

Question 1040855: A garden has a total area of (5x + 18) square feet. What are the possible dimensions of the garden?

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Question 1040896: Suppose you know the cost for building a rectangular deck measuring 16 feet by 20 feet. If you decide to increase the dimensions to 20 feet by 25 ​feet, by how much will the cost​ increase?
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Question 1041031: Taylor wants to reduce a card that measured 52 centimeters by 16 centimeters to a fraction of its original size. she wants the perimeter of the reduced card to be 34 centimeters.
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Question 1041217: To measure the height of a​ tree, Steve measures the angle of elevation of the treetop as 47 degrees .47°. He then moves 20 ft20 ft closer to the tree and from this new point measures the angle of elevation to be 58 degrees .58°. How tall is the​ tree?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1041217: To measure the height of a​ tree, Steve measures the angle of elevation of the treetop as 47 degrees .47°. He then moves 20 ft20 ft closer to the tree and from this new point measures the angle of elevation to be 58 degrees .58°. How tall is the​ tree?
Click here to see answer by Boreal(15235) About Me 
Question 1041217: To measure the height of a​ tree, Steve measures the angle of elevation of the treetop as 47 degrees .47°. He then moves 20 ft20 ft closer to the tree and from this new point measures the angle of elevation to be 58 degrees .58°. How tall is the​ tree?
Click here to see answer by addingup(3677) About Me 
Question 1041217: To measure the height of a​ tree, Steve measures the angle of elevation of the treetop as 47 degrees .47°. He then moves 20 ft20 ft closer to the tree and from this new point measures the angle of elevation to be 58 degrees .58°. How tall is the​ tree?
Click here to see answer by MathTherapy(10552) About Me 

Question 1041278: the garden is 12 ft longer than it is wide . the area is 64 square feet. how long are the sides
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Question 1041315: Hi, I'm having trouble figuring out this problem:
How many feet does a wheel with a diameter of 16 inches travel after four revolutions?
Thank you.

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Question 1041315: Hi, I'm having trouble figuring out this problem:
How many feet does a wheel with a diameter of 16 inches travel after four revolutions?
Thank you.

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Question 1041494: The length of the rectangle is three times more than its width.Find its length and width when its area is 270 cm^
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Question 1041496: The area of a rectangle is 35 sqm. Find the dimensions if the length exceeds by 2
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Question 1041697: Length 6km and breadth is 3 km.Find the sq.km
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Question 1041710: A right triangle that has an area of 200 cm². If one of its legs has a length of 40 cm, what is the length of the other leg
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Question 1041707: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one wire is at 45 degree to the ground. how long will the wires be?
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Question 1041768: Hi my height 6.2 plz stoping nd decrease solution in my height
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Question 1041777: The area of a pararelogram is 15x^2+31x+10 square inches. its base is 3x+5.Find its height...
PLssssss answer me with solution plssssss

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Question 1041777: The area of a pararelogram is 15x^2+31x+10 square inches. its base is 3x+5.Find its height...
PLssssss answer me with solution plssssss

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Question 1041883: The length of a rectangle is 6 feet longer than it is wide. If each side is increased 6 feet, then the area is multiplied by 2. What was the size of the original rectangle?
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Question 1041974: For a test of 8 true‐false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.
a)Getting the first five questions correct.

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Question 1041974: For a test of 8 true‐false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.
a)Getting the first five questions correct.

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Question 1042074: What is the fewest number of tacks needed to hold up 41 pictures of the same size so that each picture can be seen and each corner is tacked? (Suggestion: Use strategies: making a drawing and solving a simpler problem.)
I have gotten 84 as an answer and it is wrong. Please help!

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Question 1042073: The nine-pointed star shown here has a regular nonagon at its center. What is the measure of each angle at the tips of the star to the nearest .1°?
picture:
http://ezto.mheducation.com/wwtb/1259292804/chap10/sect2/prob26/92263.jpg

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Question 1042072: Five students will be randomly selected from the seven top students in mathematics to represent their school in a regional competition. Angela (A) and Brian (B) are among the seven students, and they wish to determine the probability that they will both be chosen. Using A, B, C, D, E, F, and G to denote the students, set up a sample space to determine this probability. What is the probability they will both be chosen? Enter probability as a fraction.
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Question 1042086: What is the base and height of a triangle if A=28, Base=2x+10, height=x+2
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Question 1041952: The figure shows that a bicyclist tips the cycle when making a turn. The angle​ B, formed by the vertical direction and the​ bicycle, is called the banking angle. The banking angle varies inversely as the​ cycle's turning radius. When the turning radius is
6
​feet, the banking angle is
39degrees°.
What is the banking angle when the turning radius is
6.5
​feet?

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Question 1042153: A swimming pool of length 5cm,width 4cm and height(xcm)is 4/5 full of water.After drawing 190 cubes of water it is just 1/6 full.Find the volume and height of the swimming pool.
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Question 1042183: The length of a rectangle is 2 more than twice its width. If the area of the rectangle is 24 sq. meters, find its dimension
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Question 1042183: The length of a rectangle is 2 more than twice its width. If the area of the rectangle is 24 sq. meters, find its dimension
Click here to see answer by MathTherapy(10552) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020