Questions on Word Problems: Geometry answered by real tutors!

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Question 1180961: Two perpendicular chords divide a circle with a radius of 13 inches into four parts. If the perpendicular distances of both chords are 5cm each from the center of the circle, find the area of the smallest part
Click here to see answer by mananth(16946) About Me 

Question 1180964: How many square inches of material is needed to create an open top rectangular solid volume is 54 cubic inches? Assume that the length and width are of the same measurement and that the height is twice the length
Click here to see answer by Theo(13342) About Me 

Question 1180972: Dalen that was combined 1⁄4 full. The a box boxes of pencils were equal that was
in size. 3⁄8 full How with full a was box the of pencils combined box?

Click here to see answer by ikleyn(52777) About Me 

Question 1180965: How many kips (1kilo pound=1000 lb.) of coal are contained in a rectangular coal bin 10 ft. long, 8 feet wide and 8 feet high if the coal is 6 feet deep. Coal weighs 40 lbs.per cubic foot.
Click here to see answer by Solver92311(821) About Me 

Question 1181029: A 3-inch diameter hole is drilled 6inches deep into the center and normal to the top face of brass cube 8 inches on the side. The hole is filled with lead. If a brass weighs 525lb/ft^3 and the lead weighs 705lb/ft^3. Find the total mass of the two metals
Click here to see answer by mananth(16946) About Me 
Question 1181029: A 3-inch diameter hole is drilled 6inches deep into the center and normal to the top face of brass cube 8 inches on the side. The hole is filled with lead. If a brass weighs 525lb/ft^3 and the lead weighs 705lb/ft^3. Find the total mass of the two metals
Click here to see answer by htmentor(1343) About Me 
Question 1181029: A 3-inch diameter hole is drilled 6inches deep into the center and normal to the top face of brass cube 8 inches on the side. The hole is filled with lead. If a brass weighs 525lb/ft^3 and the lead weighs 705lb/ft^3. Find the total mass of the two metals
Click here to see answer by ikleyn(52777) About Me 

Question 1181049: ∆𝐺𝐻𝐼 ≈ ∆𝐽𝐾𝐿, with GH = 4cm, JK = 6cm. If the area of JKL = 27cm2 what is the area of GHI?

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

Question 1181052: 24x^5+20x³-16x²-12÷6x²+5
Click here to see answer by Solver92311(821) About Me 

Question 1181051: 3x⁴+x³-99x²+0x-40÷3x²+x+1

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Question 1180960: In a circle with diameter of 20 cm, a regular five-pointed star touching its circumference is inscribed. Find the area of the star.
Click here to see answer by MathLover1(20849) About Me 
Question 1180960: In a circle with diameter of 20 cm, a regular five-pointed star touching its circumference is inscribed. Find the area of the star.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1181295: The length of the rectangle is one more than the width. If the dimensions are both decreased by 2 units, the area of the new rectangle is 30 sq. units less than the area of the original rectangle. Find the area of the original rectangle.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1181295: The length of the rectangle is one more than the width. If the dimensions are both decreased by 2 units, the area of the new rectangle is 30 sq. units less than the area of the original rectangle. Find the area of the original rectangle.
Click here to see answer by ikleyn(52777) About Me 

Question 1181334: A wheel on a remote control car has a radius 2 inches.The wheels​ on the toy car are revolving at a rate of 14 revolutions per second. How fast is the toy car moving in miles per hour? Show your work
Click here to see answer by ikleyn(52777) About Me 
Question 1181334: A wheel on a remote control car has a radius 2 inches.The wheels​ on the toy car are revolving at a rate of 14 revolutions per second. How fast is the toy car moving in miles per hour? Show your work
Click here to see answer by Boreal(15235) About Me 

Question 1181341: I have a homework assignment
Click here to see answer by ikleyn(52777) About Me 

Question 1181345: The prince of a far off land was passing through and noticed your fort. He was so impressed by its design that he wanted to build larger scale version of it to be his new castle back home. If the simplified ratio of the volume of your fort to the volume of his castle is 1:27, what will be the surface area of the prince’s castle?
My fort's S.A=5680ft^2
My fort's Volume=18,728.94ft^3
I tried sending this in last time but one of the tutors called it gibberish. If this question does not make sense I apologize in advance.

Click here to see answer by greenestamps(13198) About Me 
Question 1181345: The prince of a far off land was passing through and noticed your fort. He was so impressed by its design that he wanted to build larger scale version of it to be his new castle back home. If the simplified ratio of the volume of your fort to the volume of his castle is 1:27, what will be the surface area of the prince’s castle?
My fort's S.A=5680ft^2
My fort's Volume=18,728.94ft^3
I tried sending this in last time but one of the tutors called it gibberish. If this question does not make sense I apologize in advance.

Click here to see answer by ikleyn(52777) About Me 

Question 1181361: Your next step is to paint the exterior of your fort, EXCEPT FOR ANY PARTS THAT ARE ON THE GROUND. After some research, you decide to purchase 1 gallon of exterior paint/primer. Each gallon covers 400 square feet and costs $40.98.
1) Determine the minimum number of gallons of paint you will need to complete the job.
2)You have a Lowe’s credit card and receive a 5% discount with every purchase. After the discount has been applied, you will pay the Virginia sales tax of 5.3%. What will be the final total of your paint purchase?
Gallons to be purchased:
final cost:
s.a of my fort=5680ft^2
volume of my fort=18,728.94ft^3
could you please show work so I know how you solved this? thanks.

Click here to see answer by ikleyn(52777) About Me 

Question 1181431: A farmer's horses drink from a rectangular water tank with dimensions shown.

https://lh3.googleusercontent.com/PFz34sglEbjRM9xQZ4TOn35gcNqo1qf0xwy3CL8yfFJMuuDmq7nnksXD3Aa4JdPAtVCc_iJ6dP1EKopn3bz0RE5XPlWYlITESm-bYr5jXUYjZpftpTI0TNT_ZPMFtTvfWHNRsg9K
When the farmer refills the tank, it takes the horses 4 days to drink all the water. The farmer wants to build a new, larger tank and plans to increase each measurement of the tank by 25%.
By what percentage will the amount of water the farmer can put in the take increase when the larger tank is built?
How many days will it take the horses to drink all the water in the larger tank?
Explain how you found your answers.
Enter your answer and your work or explanation in the space provided.

Click here to see answer by ikleyn(52777) About Me 

Question 1181435: A sports organization collected data about the shoe sizes of soccer players and hockey players. The dot plots show the data that was collected.
https://lh3.googleusercontent.com/fRqZqtUanbdDZQx61KXMiSR2uPcTACmN-HYtJjChkpHlywGYhwwyN4AIxiWKGjkZf5TVhr_SBdjsfbFhobMxmVeseTEXgRMV0A0Vdh6cPNHy8Fzykol9ttDEzJ93xMeeX-x7eUZ_

How do the medians of the data sets compare in terms of the mean absolute deviations of the data sets?
A. The median shoe size for the hockey players is 1.5 greater than the median shoe size for the soccer players, and the difference is 1.25 times the mean absolute deviation of either data set.
B. The median shoe size for the hockey players is 2 greater than the median shoe size for the soccer players, and the difference is 1.25 times the mean absolute deviation of either data set.
C. The median shoe size for the hockey players is 1.5 greater than the median shoe size for the soccer players, and the difference is 0.9375 times the mean absolute deviation of either data set.
D. The median shoe size for the hockey players is 2 greater than the median shoe size for the soccer players, and the difference is 0.9375 times the mean absolute deviation of either data set.
Is it A, B, C, or D?

Click here to see answer by ikleyn(52777) About Me 

Question 1181545: If sinθ= 3/11 , state the ratios of the other two primary trigonometric ratios.

Click here to see answer by ikleyn(52777) About Me 
Question 1181545: If sinθ= 3/11 , state the ratios of the other two primary trigonometric ratios.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1181626: A gardener will plant grass in a circular, flat garden. The part of the garden where the gardener will plant the grass is represented by the shaded area in the figure shown.
https://lh5.googleusercontent.com/-KxIg8PjngjOE8myLQSieCmF_VSUzYGvbwmHls4ZpYLQ96xuPXgM-V-ZTT_5vx3kPbfl0Vm0-nc9G9cYLRfFVOCrAMwXM603xoajcWOUyS0da467bTGyiBfNeDyAnSaRJcKlXoUK








- The garden has a diameter of 18 feet.
- There is a square concrete slab in the center of the garden. Each side of the square measures 4 feet.
- The cost of the grass is $0.99 per square foot.
Determine the total cost in dollars, of the grass that the gardener needs. Use π=3.14.

Click here to see answer by greenestamps(13198) About Me 

Question 1181646: he railroad cut shown in the figure has sides inclined at 45 degrees to the horizontal. the base of the cuts is a horizontal rectangle and the ends are vertical. the depth of the cut at each of the points A, B, C, D is indicated in the figure. find the cost of the making the cut at 1 dollars per cube yard
Click here to see answer by mananth(16946) About Me 

Question 1181714: A cylindrical post 6.28 in. in diameter is surmounted by a part of a sphere 5.16 in. in radius, as shown in the figure. Find the surface area and the volume of the part of the sphere used. I dont know how to attach a picture but the figure is the Sphere is on top of the cylindrical post. Answers are: 300.05 sq. in. and 558.38 cu.in. I just need the solutions to prove the answers
Click here to see answer by Solver92311(821) About Me 

Question 1181720: A regular octahedron is made up of eight equilateral triangles, each with side length one unit, as shown below. An ant starts at the top vertex, walks along the edges of the triangles without ever traversing the same edge twice, and ends at the top vertex. If she did not pass through the top vertex at any other point in her walk, how many units are in the maximum distance she could walk?
[asy]
import three;
size(150);
currentprojection=orthographic(1/4,-1,1/2);
triple A, B, C, D, E, F;
A = (0,0,0.5);
B = (0.5,0,0);
C = (0,0.5,0);
D = (-0.5,0,0);
E = (0,-0.5,0);
F = (0,0,-0.5);
draw(A--B--F--D--cycle);
draw(B--E--D);
draw(B--C--D,dashed);
draw(A--E--F);
draw(A--C--F,dashed);
[/asy]

IT IS IN LATEX SRY

Click here to see answer by ikleyn(52777) About Me 
Question 1181720: A regular octahedron is made up of eight equilateral triangles, each with side length one unit, as shown below. An ant starts at the top vertex, walks along the edges of the triangles without ever traversing the same edge twice, and ends at the top vertex. If she did not pass through the top vertex at any other point in her walk, how many units are in the maximum distance she could walk?
[asy]
import three;
size(150);
currentprojection=orthographic(1/4,-1,1/2);
triple A, B, C, D, E, F;
A = (0,0,0.5);
B = (0.5,0,0);
C = (0,0.5,0);
D = (-0.5,0,0);
E = (0,-0.5,0);
F = (0,0,-0.5);
draw(A--B--F--D--cycle);
draw(B--E--D);
draw(B--C--D,dashed);
draw(A--E--F);
draw(A--C--F,dashed);
[/asy]

IT IS IN LATEX SRY

Click here to see answer by greenestamps(13198) About Me 

Question 1181966: Find the dimensions of a rectangle whose width is (4x - 3), length is (3x + 2), and the area is 99 square centimeters.
width = ?? centimeters
length = ?? centimeters

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

Question 1181993: A rectangular garden is to be constructed against the side of a
garage. The gardener has 100 feet of fencing, and will construct a three-
sided fence; the side of the garage will form the fourth side.
1. If the width of the garden is x feet, then the length of the garden is
____.
2. What is the area of the garden in terms of x?
3. What dimensions will give the garden of greatest area?

Click here to see answer by ikleyn(52777) About Me 

Question 1181984: an 80 ft flagpole has upper and lowe diameters of 4 and 16 in, respectively. find the cost of painting it at 10 cents per square foot.

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

Question 1182106: Centers of two circles with radiuses 3cm and 2cm are 20 cm apart. what is the angle between the line that connects the centers and line that is tangent line to both circles?
Click here to see answer by ikleyn(52777) About Me 

Question 1182181: Elsa has 12 more pebbles than Ana has. Ana has 6 more pebbles than Olaf has. If Elsa has twice as many
pebbles as Olaf, how many pebbles does each of them have?

Click here to see answer by ikleyn(52777) About Me 

Question 1181985: a baking pan has an rectangular base 12 in by 8 in, the sides and ends of the pan slope outward, so that the upper edges measure respectively 13 1/2 in by 9 in. if the depth of the pan is 2 in, find the amount of cake batter requires to fill the pan to 1/2 its depth
Click here to see answer by greenestamps(13198) About Me 
Question 1181985: a baking pan has an rectangular base 12 in by 8 in, the sides and ends of the pan slope outward, so that the upper edges measure respectively 13 1/2 in by 9 in. if the depth of the pan is 2 in, find the amount of cake batter requires to fill the pan to 1/2 its depth
Click here to see answer by ikleyn(52777) About Me 

Question 1182182: Part 3. Determine whether each of the following arguments is an example of inductive or deductive reasoning.
3.1 During the past 10 years, a tree has produced plums every other year. Last year, the tree did not produce
plums, so this year, the tree will produce plums.
3.2 All home improvements cost more than the estimate. The contractor estimated that my home improvement
will cost P175,000.00. Thu, my improvement will cost more than P175,000.00.
3.3 All Gillian Flynn novels are worth reading. The novel Gone Girl is a Gillian Flynn novel. Thus Gone Girl is
worth reading.
3.4 I know I will win a jackpot on this slot machine in the next 10 tries, because it has not paid out any money
during the last 45 tries.

Click here to see answer by ikleyn(52777) About Me 

Question 1183030: TV weather forecasters use satellite and radar data to predict where storms will move in order to help viewers know what weather to expect. The map below shows a storm off the eastern coast of the United States. The arrows show the path the heart of the storm traveled over the last 48 hours. If you were a forecaster in the northeast, use the map to answer the following questions.
a. What would you tell your Northeast coast audience? Which type of reasoning—inductive or deductive—did you use? Explain.
b. Write an if-then statement to describe your conjecture.
c. Write the inverse of the statement.
d. Write the converse and contrapositive of the statement.
Below is a link to the picture :)

https://api.agilixbuzz.com/Resz/~0.9sFCjOThCFQcV9YJ.DpPLcLm6WrRXUBKbIwI4apk-EagPDGN57B1GrnngwLE/48780464,FEB,11,3/Assets/Media/Images/41.2-HOT3-Weather.jpg

Click here to see answer by ikleyn(52777) About Me 
Question 1183030: TV weather forecasters use satellite and radar data to predict where storms will move in order to help viewers know what weather to expect. The map below shows a storm off the eastern coast of the United States. The arrows show the path the heart of the storm traveled over the last 48 hours. If you were a forecaster in the northeast, use the map to answer the following questions.
a. What would you tell your Northeast coast audience? Which type of reasoning—inductive or deductive—did you use? Explain.
b. Write an if-then statement to describe your conjecture.
c. Write the inverse of the statement.
d. Write the converse and contrapositive of the statement.
Below is a link to the picture :)

https://api.agilixbuzz.com/Resz/~0.9sFCjOThCFQcV9YJ.DpPLcLm6WrRXUBKbIwI4apk-EagPDGN57B1GrnngwLE/48780464,FEB,11,3/Assets/Media/Images/41.2-HOT3-Weather.jpg

Click here to see answer by robertb(5830) About Me 

Question 1183328: If the height of a right circular cone is decreased by 8 percent by what percent must the radius of the base be decreased so that the volume of the cone is decreased by 15 percent?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1183328: If the height of a right circular cone is decreased by 8 percent by what percent must the radius of the base be decreased so that the volume of the cone is decreased by 15 percent?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1183354: Find the missing measure needed to solve for either the area or perimeter of a rectangle. w=7, l=12, P=
how do you solve of the perimeter or the area in this equation? when I do I end up getting the wrong answer

Click here to see answer by Boreal(15235) About Me 
Question 1183354: Find the missing measure needed to solve for either the area or perimeter of a rectangle. w=7, l=12, P=
how do you solve of the perimeter or the area in this equation? when I do I end up getting the wrong answer

Click here to see answer by ikleyn(52777) About Me 
Question 1183354: Find the missing measure needed to solve for either the area or perimeter of a rectangle. w=7, l=12, P=
how do you solve of the perimeter or the area in this equation? when I do I end up getting the wrong answer

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1183354: Find the missing measure needed to solve for either the area or perimeter of a rectangle. w=7, l=12, P=
how do you solve of the perimeter or the area in this equation? when I do I end up getting the wrong answer

Click here to see answer by Alan3354(69443) 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