Questions on Word Problems: Geometry answered by real tutors!

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Question 684284: find two numbers whose sum is 54 and whose difference is 28.
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Question 684282:
tina has 70 coins,all quarters and dimes. there are 30 more quarters than dimes. find the number of each type of coin.

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Question 684279:
your quiz grades are 78,68,71,85, and 90. what score on the sixth quiz will make your average quiz at least 80? what is the equation and solve the problem?

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Question 684308: The height of a triangle is 2 times the base. The area is 36 square inches.Find the base.
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Question 684332:
the length of a rectangle is 2.8 cm more than 4 times the width. if the perimeter of the rectangle is 38.6 cm, what are its dimensions?

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Question 684171: Given a sphere of radius R, find the radius r and altitude 2h of the right circular cylinder with largest lateral surface area that can be inscribed in the sphere.
I think I was able to calculate the function but I am not sure if it is correct. Also, please include all steps to the solution. This is a optimization problem.

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Question 684307:
The length of the rectangle is 1 inches more then the width. The area is 30 square inches. Find the dimensions.

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Question 684365: three less than a number
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Question 684454: how to write w squared + 30w + 81 in a word problem

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Question 684520: please help me solve the domain equation y2=x+1 is?
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Question 684820: The measure of the exterior angle at the base of an isosceles triangle is 125 degrees. Find the nmeasures of the vertex and base angle.
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Question 685125: A computer monitor has a height of 9 inches with a diagonal measurement of 15 inches. How many inches wide is the rectangular screen?
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Question 684555: the diagonal of a rectangle is 2 centimeters longer than its length and 9 centimeters greater than its width. find the dimensions of the rectangle.
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Question 685720: 1) Through how many degrees does the minute hand of a clock turn during:
a)60 minutes b)40 minutes c)35 minutes
2) Through how many degrees does the hour hand of a clock turn during:
a)1 hour b)0.5 hour c)15/2 hour d)7/2 hour

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Question 685869: In an isosceles triangle, the base is 7 more than one-half times the legs. If perimeter is 22 centimeters. Find length of each leg.
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Question 686039: The largest swimming pool in the world is in Casablanca. With a perimeter of 1110 meters this rectangular shaped pool is 30 meters longer than 6 times its width. How many meters wide is it
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Question 686265: the perimeter of a rectangle is 38 m . if the length is 5 m less than twice its width, find the dimensions of the rectangle.
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Question 686274: find the area of a rectangle given that its perimeter is 60 millimeters and its width is 12 millimeters
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Question 686737: Hey can anyone help me with this
If the length of two sides of a triangle are 2 and 5, the length of the third side could be
A). 1
B). 2
C). 6
D). 7

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Question 686737: Hey can anyone help me with this
If the length of two sides of a triangle are 2 and 5, the length of the third side could be
A). 1
B). 2
C). 6
D). 7

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Question 687430: if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter of the original square
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Question 687582: A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile?

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Question 687955: A rectangle is three times longer than it is wide and the diagonal of it is 50 cm. How long is each side.
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Question 687995: use a ratio box to solve this problem. the ratio of the measure of the two acute angles of the right triangle is 7 to 8. whAT IS THE MEASURE OF THE SMALLEST ANGLE of the triangle
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Question 688091: find the volume of earth dug out from a cubical pit whose edge is 2.4 m
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Question 688121: a right triangle has legs 12 inch and 16 inch. How far from the vertex must this triangle be cut.
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Question 688173: If the length of a rectangle is 2cm. longer than the width, and the rectangle's diagonal is the square root of 11 cm. Find the width of the rectangle.
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Question 688195: If you double the base of a rectangle, you do what to the area?
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Question 688321:
The base of a triangle sail 8m shorter than its height the area is 24m^2. find the base and length

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Question 688318: The perimeter of a fence is 84 meters. If the width is 2 meters less than the length, find the width.
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Question 688489: if the garden has an area of 100 square feet, what is its width?
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Question 688766: Two angles are supplementary. One angle is 15 degrees less than twice the other angle. Find the measure of each angle
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Question 688909: the length of a rectangle is five times its width. If the perimeter of the rectangle is 60m find its area?
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Question 688890: what is the perimeter of a semicircle with the radius of 0.8 meters
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Question 688936: What geometric term could you use to describe the tip of your pencil
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Question 689083: a rectangular closet is 2 ft deep, 3ft wide and 8 ft high. what is the length of the longest pole that can fit within the closet?
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Question 689272: A ladder 17 ft long leans against a building, if its foot is 8 ft from the building how high does it reach the building?
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Question 689339: An exchange student tells you that he is 175 cm tall and weighs 72 kg. About how mnat feet tall is the exchange student?

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Question 689312: find the vector which is perpendicular to the two vector A=i-3j+2k and B=2i-j+k and is length 5?

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Question 689396: The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6 . What are the dimensions of the bedroom?
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Question 689852: The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 180 square feet, find its dimensions. Show how you did it.
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Question 690590: a room has an area of 425 square feet. one dimension is 8 feet more then the other. find the demensions of the room?
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Question 690699: A rectangle has an area of 12m^2 and a width of 400cm. What is the length of the rectangle?
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Question 690923: if the angle that the wire forms with the tower is 45, what is the length of the wire?
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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