Questions on Word Problems: Geometry answered by real tutors!

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Question 387055: A woman is less than a hundred years old.When her age is divides by seven, the remainder is two; when her age is divided by five, the remainder is four; when her age is divided by three, the remainder is two.
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Question 387054: 1) A rectangular storage unit has dimensions of : 1m , 2m, 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a volume of 10 times the orginal? b) How many possible solutions are there to this problem? c) Sketch the graph of the information presented in this problem. Show how the zeros of the function relate to the answer.
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Question 387123: Angles ABC and CBD are complementary. Angle CBD is 9 times angle ABC. Find the measure of each angle.
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Question 387202: a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions
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Question 387313: Amy, Marty, and Taylor working together can do a job in 2 hours. Amy and Marty working together can do the job in 4 hours. Marty and Taylor working together can do the job in 3 hours. How long does it take for each person to do the job working alone? How long does it take Amy and Taylor working together to do the job?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 387493: An equilateral triangle is a triangle that has three congruent sides.
1. Use the information given in the triangle below to find AB, BC, and AC.
2. Determine if the triangle is equilateral or not based on the lengths of the three sides.
A= (6,3)
B= (3,1)
C= (1,3)

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Question 387766: please help me solve this word problem:
A right triangle has has one leg that is 5 cm longer than the other leg. The hypotenuse is 25 cm long. Find the length of each leg of the triangle suppose base is x cm and perpendicular is 5cm longer becomes x+5,now according to pythagorean theorm h^2=p^2+b^2 therefore 25=(x+5)^2+x^2 so,25=x^2+10x+25+x^2 then,25=2x^2+10x+25 therefore25-25=x(2x+10)therefore x=0 and2x=-10so right angle has -5 base therefore that right angle does'nt exist

Click here to see answer by irshad_ahmed0@yahoo.com(7) About Me 

Question 388293: The lengths ( in feet ) of two sides of a regular quadrilateral are represented by th expresion
8x-6 and 4x+22 . find the length of a side of the quadrilateral

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Question 388376: the width of a rectangle is two meters more then one third of the length. The perimeter of the rectangle is forty four meters. Find the measure of each angle.

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Question 388448: The base of a triangle is 5cm less then its height. Find the height and base if the triangle is 33cm2.
I tried doing it but i always end up with -4h = 66. I don't know what i'm doing wrong!
Thanks

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Question 388447: circle has a diameter of 3.6 kilometers. Calculate the are of the circle, to the nearest hundredth
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Question 388454: Carol’s tennis ball has a radius of 2, and David’s basketball has a radius of 20.
If the balls are lying tangent to each other and to the floor, what is the
distance between the points of tangency on the floor?

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Question 388453: A regular pentagon is inscribed in a circle of radius 7. How long is the
circular arc that connects two neighboring vertices?

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Question 387828: You need to make 36 one-half cup bags of trail mix for a class trip. The recipe calls for peanuts, chocolate chips, and raisins in the extended ratio 5:1:4. How many cups of each item do you need?
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Question 388328: A science museum is going to put an outdoor restaurant along one wall of the museum. The restaurant space will be rectangular. Assume the museum would prefer to maximze the area for the restaurant.
a.) Suppose there is 120 feet of fencing available for the three sides that requires fenncing. How long will the longest side of the restaurant be?
b.) What is the maximum area?

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Question 388519: iam a figure with an odd number of sides.
i have fewer sides than a pentagon.
i have the same perimeter as a hexagon whose sides measure 2 inches each.
what is the my perimeter?

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Question 388531: the perimeter of a parallelogram is 54cm. the ratio of the lengths of the sides is 2:7. what are the lengths of the sides?
Click here to see answer by user_dude2008(1862) About Me 

Question 388630: The area of a circle is 3/4 area of a square. One side of the square has
length 2 square root(6pi).Find the length of the diameter of the circle.

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Question 388632: Isosceles right triangles are cut from the four corners of a square piece of
paper, 12 inches by 12 inches, so that a regular octagon is produced. What is
the length, in inches, of each leg of these isosceles right triangles?

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Question 388722: One angle of a triangle measures 10° more than the second. The measure of the third angle is twice the sum of the first two angles. Find the measure of each angle.
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Question 388722: One angle of a triangle measures 10° more than the second. The measure of the third angle is twice the sum of the first two angles. Find the measure of each angle.
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Question 388891: With something along this line for a picture


A capacitor is a basic component of televisions, radios, electronic toys, computers, and almost all electric devices. Many old radios use an adjustable capacitor to tune in different stations.


8. What do you need to know about the front upper plate and the front lower plate in order to show that any upper plate and any lower plate lie in parallel planes? Explain your reasoning.

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Question 388891: With something along this line for a picture


A capacitor is a basic component of televisions, radios, electronic toys, computers, and almost all electric devices. Many old radios use an adjustable capacitor to tune in different stations.


8. What do you need to know about the front upper plate and the front lower plate in order to show that any upper plate and any lower plate lie in parallel planes? Explain your reasoning.

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Question 386817: To determine the product is called what?
Is identical in value is called what?

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Question 388978: A book, a hammer, and a lamp are weighed and the results are recorded. The book and the hammer together weigh 8 pounds. The hammer and the lamp together weigh 10 punds. The book and the lmap together weigh 6 punds. How heavy, in pounds is the lamp?
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Question 388979: A total of p peoplw agreed to evenly share the cost, C, of a pizza. When two of the people failed to contribute, the others were forced to evenly share the cost of the pizza. In terms of p and C, how much more than originally agreed did those who contribute ultimately pay?
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Question 388984: A rectangular painting by a local artist is 3ft.taller than it is wide. if the wooden frame is 12 inch wide, the combined area of the picture and frame is 208 square ft. Find the dimensions of the painting by itself.
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Question 388993: if x^10 * x^2a= x^100, what is the value of a?
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Question 388993: if x^10 * x^2a= x^100, what is the value of a?
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Question 388992: let f(x)=x+2 and g(x)= 1-x^2. Which of the following properly expresses g(f(x+1))?
a. -x^2+6x+10
b. -x^2-6x-8
c. -x^2+x+3
d. x^2-6x+8
e. x^2-x+10

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Question 388992: let f(x)=x+2 and g(x)= 1-x^2. Which of the following properly expresses g(f(x+1))?
a. -x^2+6x+10
b. -x^2-6x-8
c. -x^2+x+3
d. x^2-6x+8
e. x^2-x+10

Click here to see answer by mananth(16946) About Me 

Question 388996: If a^2-b^2=70 and a-b=7, what is the value of a?
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Question 388996: If a^2-b^2=70 and a-b=7, what is the value of a?
Click here to see answer by haileytucki(390) About Me 
Question 388996: If a^2-b^2=70 and a-b=7, what is the value of a?
Click here to see answer by mananth(16946) About Me 
Question 388996: If a^2-b^2=70 and a-b=7, what is the value of a?
Click here to see answer by josmiceli(19441) About Me 

Question 388981: you want to make a square-bottomed, open top box with a height of three inches and a volume of approximately 60 inches. you will take a square piece of metal and cut three-inch squares from each corner. you will then fold up the edges and weld them together to form the box. what should be the dimensions of the original piece of metal, to the nearest tenth of an inch?
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Question 389141: An object is launched with initial velocity of 22.5 meters per second (m/s) from a 75-meter tall platform. The equation for the object's height h at time t seconds after launched is h(t)=-4.9t^2+22.5t+75, where h is in meters. How long will it take for the object to reach the ground? what is the maximum height reached by the object?
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Question 389144: write an equation whose vertex is (-4,7)and contains the point (-6,3).
Click here to see answer by scott8148(6628) About Me 

Question 389222: A rectangular playing field is 80 metre wide and 125 metres long. What is the distance all around the field?
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Question 389214: One side of a triangular banner is 1.5 times longer than the second side and 2 cm shorter than the third side. The perimeter of the triangle is 98 cm. How long is the shortest side?
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Question 389068: the shorter side of a rectangle has a length of x inches. the longer side has a length of 2x-1 inches. if the perimeter is 58 inches, find the length of the sides. remember the perimeter is equal to the sum of the length of all four sides. after the first 2 steps of your five step solution, draw and label the rectangle using appropriate algebraic expressions for each side. then complete the 5-step solution as usual.
Click here to see answer by richard1234(7193) About Me 

Question 389357: Sorry, not sure where else to put this at.
Top Plane from bottom left counter clockwise is:M P T Q, Bottom Plane same direction: N O S R.

(ignore the writing on it)


In the diagram, the faces MPTQ (top face) and NOSR (bottom plane) lie in parallel planes.


10. How are edges OS and PT related? Explain your reasoning.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 389407: describe the locus of all points in a plane that are less tha 4 inches from point A.
A) Interior of circle A with a radius 4 inches
b) Circle A with radius 4
c) Line segment 4 inches long
d) Line segment less than 4 inches long

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Question 389593: How long are the sides of an equilateral triangle inside a one inch circle?
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Question 389660: A rectangular flower garden is 8ft longer thant it is wide. It is surrounded by a brick walk 2ft wide. The area is 176ft^2. Find the dimensions.
I know that the equation is set = to 176 and that width = x and length = x+8 but I am missing what to do with the brick walk 2ft wide. Having problems setting problem up to solve. Would appreciate help!!!

Click here to see answer by jim_thompson5910(35256) 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