Questions on Word Problems: Geometry answered by real tutors!

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Question 585363: The radius of a large pizza is 1 in. less that twice the radius of a small pizza. The difference between the areas of the two pizzas is 33pi in^2. Find the radius of the large pizza.
Click here to see answer by Alan3354(69443)

Question 585212: a metalworker makes a box from a 15in by 20in piece of tin by cutting a square with side length x out of each corner and folding up the sides. wright and simplify an expression for the area for the base of the box.
(it's meaning a foil method equation as the expression.)

HELP PLZ
Click here to see answer by ankor@dixie-net.com(22740)

Question 585397: What is the effect on the area of a triangle if the base is doubled and the height is cut in half? What happens to the area, if the base is doubled and the height remains the same?
Click here to see answer by stanbon(75887)

Question 585598: diameter of the circle is 15 cm. I need to find the area of the circle.
Click here to see answer by Alan3354(69443)

Question 585914: A library is 46.5 feet tall. It casts a shadow of 8.2 feet.
What is the sun's angle of elevation?
I don't understand how to find the elevation. My teacher has gone over it and I have asked for help, but I still don't get it.
Click here to see answer by jim_thompson5910(35256)

Question 585918: A cliff is 80 feet above the sea. From the cliff the angle of
depression to a boat is 35�. How far is the boat from the base
of the cliff? Round your answer to one decimal place.
I don't get this either. Teachers and tutors have tried to help me but they don't explain it in a way that I can comprehend it.
Click here to see answer by Edwin McCravy(20054)

Question 586112: Please show me how to plot this:
Click here to see answer by stanbon(75887)

Question 586214: decrease 216 by 37.5% what is the result?
Click here to see answer by scbmaths(2)

Question 586240: Building and ground form a right angle. A 25 ft. ladder is up against the buildnig 7 feet away from the building at the ground. If the ladder slips down from the top of the building 4 feet how far away from the building will the ladder be?
I think the answer is 15. Can you confirm?
Click here to see answer by scott8148(6628)

Question 586404: This has to do with area of a triangle and the triangle pythagorean theorem. The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 10m and legs measuring 13m. The entire front wall is made of glass 1cm thick that costs $120/m squared. What did the glass for the front wall cost?
Click here to see answer by KMST(5328)

Question 586433: the maxium grade of the railway at pikes peak is 25 percent. find the angle of inclination of the railway at this point
Click here to see answer by stanbon(75887)

Question 586477: The volume of a box is 96 cubic inches. The length is 8 inches more than the height. The width is 2 inches less than the height. Find the dimensions of the box
Click here to see answer by nglngl(2)

Question 587149: the length of a rectangular room is 6 feet longer than twice the width. if the room's perimeter is 168 feet, what are the room's dimensions?
Click here to see answer by rfer(16322)

Question 587128: what are the dimensions of the lot if the perimeter is 19 meters and area of 21 square meters?
Click here to see answer by KMST(5328)

Question 587288: The area of a rectangle is 24 square meters. Find the length and width of the rectangle if its length is 5 meters greater than its width. Use an equation and the formula for
Area of a rectangle = (width)(length).

Click here to see answer by richwmiller(17219)

Question 587298: The area of a pizza is 220 square centimeters what is the radius?
Click here to see answer by richwmiller(17219)

Question 587367: What number between 20 and 30 is four times the sum of it's two digits?
Click here to see answer by josmiceli(19441)

Question 586501: What is the area of a 20-gon with a radius of 2 mm? Please explain.
Click here to see answer by KMST(5328)

Question 587656: you go to a garage sale.all the items cost $1 or $5. you spend less than $45.write and graph a linear inequality that models the situation.
Click here to see answer by josmiceli(19441)

Question 587713: In isosceles triangle ABC with side BC as the base, we are given AB = 3x − 2 and AC = 4x − 5. Which is x?
Click here to see answer by KMST(5328)

Question 588066: Could you please walk me through this word problem?...
A country which covers 6,525 square miles claims airspace over the country to 10 miles. What is the cubic space the country claims as their airspace?
Thank you.
Click here to see answer by richwmiller(17219)

Question 588070: Could you please walk me through this word problem that I am stuck on?...
You have just built an in ground pool. The dimensions are 15 feet wide, 30 feet long and 5 feet deep. If you fill the pool with water to 4 feet, what is the space occupied by the water when you have filled the pool to this point?
Thank You.
Click here to see answer by richwmiller(17219)

Question 588017: A grain-storage warehouse has a total of 24 bins. Some hold 30 tons of grain each, and the rest hold 25 tons each. How many of each type of bin are there if the capacity of the warehouse is 640 tons?
Click here to see answer by richwmiller(17219)

Question 588381: I have to draw a 12 inch pizza with 8 slices. How big is each piece of pizza?

Click here to see answer by Alan3354(69443)

Question 588320: A concrete driveway is 5 feet longer than twice its width. It has a brick walkway 3 feet wide on the front and side of the driveway. The area of the brick walkway is 213 square feet. Find the dimensions of the driveway.
Click here to see answer by ankor@dixie-net.com(22740)

Question 588575: what is the volume of a concrete obstacle that measures 7 feet wide, 7 feet high, and 11 feet long
Click here to see answer by shiv s b(7)

Question 588716: A rectangular box with a square base is 11 inches wider than it is tall. If x represents the width of the base of the box, then the volume of the box as a function of x is

Click here to see answer by ankor@dixie-net.com(22740)

Question 588777: Ben is planning to fence his rectangular garden. The area of the garden is 50 square feet, and the length of the garden is twice the width. How many feet of fencing will he need?
Click here to see answer by richwmiller(17219)

Question 589343: if the circumference of a circle is 16 cm .what is the area?
Click here to see answer by nyc_function(2741)

Question 589248: A wooden pyramid, 9 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 4 and makes a larger pyramid with the new dimensions. Describe in complete sentences the ratio of the volumes of the two pyramids.

Click here to see answer by KMST(5328)

Question 589305: What is the conditional form of "a square with area 100 m^2 has sides that measure 10 m."
Click here to see answer by solver91311(24713)

Question 589477: a building has 9 windows . each window is 5 feet tall about how tall is the building
Click here to see answer by richwmiller(17219)

Question 589473: Tyler has a stack of cards. he picks a card records the color and returns the card to the stack. he repeats this 60 times and choose a red card 24 times. what is the experimental probability of choosing a red card from the stack
Click here to see answer by stanbon(75887)

Question 589478: Homework Question: Daniel has a box shaped like a rectangular prism. It has a volume of 280 cubic inches. It is 8 inches long and 5 inches wide. Find the height of this box. Then find the Surface Area.
Click here to see answer by ankor@dixie-net.com(22740)

Question 590152: ok so heres my issue
im supposed to find the volume of a box with 720 cubic inches
length=3x width= x+11 and height=x
so I know I'm supposed to multiply it all and I get 3x^3+33x^2=720
then i subtract 720 and divide everything by 3
which is x^3+11x^2 -240=0
that's where I'm stuck. I know what the answer is I just dont know how to get to it
Click here to see answer by richwmiller(17219)

Question 590258: a peice of 8.5 by 11 inches cardboard has identical square cuts from its cornors. it is then folded into a box with no lid. the volume of the box in cubic inches is 4c to the third power minus 39c to the second power plus 93.5c. where c is the side length of the missing squares in inches.
thank you :)
Click here to see answer by KMST(5328)

Question 590348: Hello,
How do you set up an equation in algebra to show that the width of a rectangle is 3 ft shorter than the length and that the perimeter of the rectangle is 86 feet?
86=3w -6
I am soooo confused! Please help!
bmccain@wowway.com
Click here to see answer by Theo(13342)

Question 590474: A right triangle has sides of 3, 4, and 5 centimeters. Which triangle would be similar?
A. a triangle with two 60 degree angles
B. a right triangle with sides of 50, 80, and 94.34cm
C. a right triangle with sides of 45, 60, and 75in
D. a right triangle with sides of 3, 5, and 5.83ft
Click here to see answer by stanbon(75887)

Question 590505: A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle. (It's hard for me to say, but it's basically a circle and an L-shape is cut from it) The remaining circumference forms the bases of a cone. What is the radius of the cone?
Click here to see answer by scott8148(6628)

Question 590736: An aquarium tank is a rectangular prism that holds approximately 5760 cubic inches of water. The bottom glass piece of the tank needs to be 24 inches by 12 inches to fit on the aquarium stand. The bottom and four sides are all made of glass. How much glass is needed to make this aquarium? Round answers to nearest square inch.
Click here to see answer by richwmiller(17219)

Question 590946: If an isosceles triangle has a perimeter of 345 cm and base length of 85 cm, what is the length of each leg?
Click here to see answer by richwmiller(17219)

Question 590968: I'm totally confuse, please help!
Mary has a choice of using one ot two parking garages downtown:
Option 1: $8 an hour for the first two hours, then $2 an hour for each hour more than 2; or
Option 2: $4 for each hour
Let X= total hours parked. (I would like to use 6hrs, however I do not know how to set up the formula. I have to write a mathematical model representing the total parking cost, C, in terms of x for the following (assuming Mary is parking for more than 2 hours.
Option 1: C= 16
Option 2: C= 24

Click here to see answer by ad_alta(240)

Question 590970: Please tell me if I am doing this right. I have to complete the table with the given value of x and the equation y = -1/2 x + 3.
x y
-2 5 1/2
0 3 1/2
4 7 1/2

y=-1/2x+3
y= -1/2(-2)+3
y= -2 1/2+3
y= 5 1/2
y= -1/2x+3
y=-1/2(0)+3
y=-1/2+3
y= 3 1/2
y= -1/2x+3
y=-1/2(4)+3
y= 7 1/2

Click here to see answer by richwmiller(17219)

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