Questions on Word Problems: Geometry answered by real tutors!

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Question 1120460: A SEARCHLIGHT HAS A PARABOLIC REFLECTOR (HAS A CROSS SECTION THAT FORMS A BOWL) THE PARABOLIC BOWL IS 16 INCHES WIDE FROM RIM TO RIM AND 12 INCHES DEEP. THE FILAMENT OF THE LIGHT BULB IS LOCATED AT THE FOCUS. WHAT IS THE EQUATION OF THE PARABOLA USED FOR THE REFLECTOR? HOW FAR FROM THE VERTEX IS THE FILAMENT OF THE LIGHT BULB?

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Question 1120519: Amnah needs to carpet room , the length of one wall is 40m . How much carpet does she need to cover the room
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Question 1120680: Suzanne has a rectangular garden which is 48 feet long and 35 feet wide. She has 1260 square foot of paving stones, and she wants to build a pathway around the border of the garden. How wide will the pathway be?
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Question 1120796: A rhombus has diagonals 6 cm and 10 cm find the length of one side of the rhombus

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Question 1120903: The longer side of a rectangle is three times the length of the shorter side if the diagonal is 22 cm find the dimensions of the rectangle and the area of the rectangle

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Question 1120910: Two corresponding angles measure 7x-12°and4x+25°.find the value of x
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Question 1120902: A log is 60 cm in diameter . Find the dimensions of the largest square section beam which can be cut from the log
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Question 1120957: A standard city block is a square with each side measuring
129 yards. Find the length of the diagonal of a city block.

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Question 1121123: Find area of triangular regions ABC when a=6cm,x=8cm,b=5cm
(ii)perimeter=28cm,a=4cm,c=7cm

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Question 1121142: A square and an equilateral have equal perimeter. If the area of the triangle is 9 sqrt(3) cm squared, find the exact length of the diagonal of the square.
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Question 1121142: A square and an equilateral have equal perimeter. If the area of the triangle is 9 sqrt(3) cm squared, find the exact length of the diagonal of the square.
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Question 1121406: A right pyramid, with a square base and four isosceles triangles, is cut from a square piece of paper which is 3x cm long. If the area of the shaded part is 54 cm2 find the value of x.
(The height of each triangle is x)

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Question 1121578: Please help me solve this problem: Mrs. Umali wants to make a flower garden such that the length is 3 meters longer than its width. If she has 70 meters of fencing material and she wants her garden to have an area of at least 80 square meters, what are the smallest dimensions that the garden could have? What are the biggest dimensions that the garden could have?
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Question 1121646: My son needs to draw three different quadrilaterals, each with an area of 12 square units.
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Question 1121663: what is the area of the circular park in 12?
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Question 1121662: the radius of a circular park is 52 meters. If you jog around its edge, how many meters would you have jogged?
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Question 1121691: A small blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. The tether is 250 feet long and attaches the goat to one corner of the barn. The barn is located in the center of a large meadow. How many square feet of meadow are accessible to the goat? You may neglect the length of the goat.
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Question 1121691: A small blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. The tether is 250 feet long and attaches the goat to one corner of the barn. The barn is located in the center of a large meadow. How many square feet of meadow are accessible to the goat? You may neglect the length of the goat.
Click here to see answer by josmiceli(19441) About Me 

Question 1121769: a page with length 3 inches more than its width, has 80 square inches of printed area. the margins at the top and bottom are each 1 inch wide. Find the dimension of the page
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Question 1121862: The second angle of a triangular garden is four times as large as the first. The third angle is 45 degrees less than the second angle. Find the measure of each angle in the garden.
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Question 1121930: A cylindrical can has a volume of 90π cm3 and is 10 cm tall. What is its diameter?
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Question 1121931: }llA parcel of land is 5 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 145 ft long. What are the dimensions of the parcel?
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Question 1121931: }llA parcel of land is 5 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 145 ft long. What are the dimensions of the parcel?
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Question 1121987: The length of one base of a trapezoid is 19 less than five times the other base. If the trapezoid has a height of 18 feet and an area of 477 ft, find the length of the longer base.
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Question 1122058: The length of a rectangle is 3mm more than twice the width. If the area is 495 square mm find the dimensions of the rectangle? Please help
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Question 1122089: A scale drawing of a rectangular park is 6inches wide and 8 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards.
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Question 1122191: the perimeter of a rectangular pool is 360 yd. if the length is less than four times the width find the length and the width.
(picture of a rectangle)
w is w
and l is 4w-20

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Question 1122211: It is necessary to construct a
box whose volume is equal to
640𝑐𝑚3 with a rectangular
piece that is 6𝑐𝑚 longer than
wide, cutting a square of 4𝑐𝑚 of
side in each corner and folding
the edges. Determine the
dimensions of the box.

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Question 1122300: A Rectangular Sand Box Is 3 Feet By 4 Feet. The Depth Of The Box Is 8 Inches, But The Dept Of The Sand Is 3/4 Of The Depth Of The Box. Find Each Measure To The 10th . Surface Area Of The Sandbox Assuming There Is No Lid and the volume of sand in the sandbox
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Question 1122354: A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow?

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Question 1122341: (A)=25,P(B|A)=9/20,P(A∩B)=?
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Question 1122412: If an object is dropped from 4320 feet such that h=4320-16t. how much time would it take for it to be 210 feet from the ground?
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Question 1122409: Find the two points on AB that divide the segment intro three congruent parts. Point A has coordinates (0,0) and Point B has coordinates (9,6). Explain your method
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Question 1122416: 6rad5(rad11 plus rad5)
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Question 1122452: how many square feet of concrete surface are there in a circular walkway 8ft wide surrounding a tree if the tree has a diameter of 3ft.
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Question 1122605: Angles A and B are supplementary. Angle B is twice the measure of angle A. What is the measure of each angle?
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Question 1122654: solve the absolute value equation. express numbers as integers or simplified fractions.
-4|5-7y|-2=-6

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Question 1122654: solve the absolute value equation. express numbers as integers or simplified fractions.
-4|5-7y|-2=-6

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Question 1122654: solve the absolute value equation. express numbers as integers or simplified fractions.
-4|5-7y|-2=-6

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Question 1122654: solve the absolute value equation. express numbers as integers or simplified fractions.
-4|5-7y|-2=-6

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Question 1122651: the perimeter of a rectangular pool is 360 yd. if the length is 20 yd less than four times the wdth, find the length and the width. there is a picture of a rectangle wth the width marked as 'w" and the length marked as "4w-20" For the Perimeter don't forget it's P=2L+2W
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Question 1122653: solve the absolute value equation. express numbers as integers or simplified fractions.
|(5b)/2 + 7/2| - 15 = -4

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Question 1122689: Which statement is true?
A. Skew lines do not lie in the same plane
B. Lines that do not intersect are always skew lines
C. Lines that lie in a different parallel plane are never skew lines
D. Skew lines can be perpendicular

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Question 1122652: solve the equation in part (a). for part (b), solve the inequality and graph the solution set. write the answer in set builder notation and interval notation.
a. p-3=9
b. p-3>9

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Question 1122772: The sides of a quadrilateral are 6,7,8 and 10 cm long. The longest side of a similar quadrilateral is 8 inches. find the lengths of the other side.
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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