Questions on Word Problems: Geometry answered by real tutors!

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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?
Click here to see answer by Alan3354(30924)

Question 388453: A regular pentagon is inscribed in a circle of radius 7. How long is the
circular arc that connects two neighboring vertices?
Click here to see answer by Alan3354(30924)

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?
Click here to see answer by Fombitz(13828)

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?
Click here to see answer by lwsshak3(6456)

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?
Click here to see answer by richard1234(5390)

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(1861)

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.
Click here to see answer by mananth(12269)

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?
Click here to see answer by Edwin McCravy(8879)

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.
Click here to see answer by Earlsdon(6287)

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.
Click here to see answer by robertb(4012)

Question 386817: To determine the product is called what?
Is identical in value is called what?
Click here to see answer by gwendolyn(128)

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?
Click here to see answer by scott8148(6628)

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?
Click here to see answer by scott8148(6628)

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.
Click here to see answer by josmiceli(9645)

Question 388993: if x^10 * x^2a= x^100, what is the value of a?
Click here to see answer by stanbon(57203)

Question 388993: if x^10 * x^2a= x^100, what is the value of a?
Click here to see answer by josmiceli(9645)

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 stanbon(57203)

Question 388996: If a^2-b^2=70 and a-b=7, what is the value of a?
Click here to see answer by richard1234(5390)

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)

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(12269)

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(9645)

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?
Click here to see answer by mananth(12269)

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?
Click here to see answer by nerdybill(6948)

Question 389144: write an equation whose vertex is (-4,7)and contains the point (-6,3).
Click here to see answer by scott8148(6628)

Question 389222: A rectangular playing field is 80 metre wide and 125 metres long. What is the distance all around the field?
Click here to see answer by ewatrrr(10682)

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?
Click here to see answer by ewatrrr(10682)

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(5390)

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(28476)

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
Click here to see answer by ewatrrr(10682)

Question 389593: How long are the sides of an equilateral triangle inside a one inch circle?
Click here to see answer by Edwin McCravy(8879)

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(28476)

Question 390225: two people walk away from each other at an angle, one moving straight ahead at left 6 feet per second, the other is moving straight ahead at 4 feet per second. After 5 seconds, they are 45 feet apart. If they continue the same angle, How far apart will be after one minute.
Click here to see answer by ankor@dixie-net.com(15622)

Question 390488: Length is 50% longer than width with an area of 294
Click here to see answer by robertb(4012)

Question 390511: lacy made a scale model of her house. her house is 45 feet tall. her model is 9 inches tall.what is the scale of the model? how many times as tall as her house is her model?

Click here to see answer by robertb(4012)

Question 390512: andrew made a scale of the Washington Monument. the monument is 555feet tall and his model is 15 inches tall. What is the scale of the model? how many times as tall as the Washington Monument is his model?

Click here to see answer by robertb(4012)

Question 390537: what would the maximum area of a rectangle with a perimeter of 192km?
Click here to see answer by Alan3354(30924)

Question 390537: what would the maximum area of a rectangle with a perimeter of 192km?
Click here to see answer by Edwin McCravy(8879)

Question 390549: If perimeter of parallelogram is 60cm and the ratio between its dimensions is 2:3 then the length of each is........... , ........... cm

Click here to see answer by stanbon(57203)

Question 390551: What is the length of a diagonal of a sqaure with a perimeter of 28 centimeters?
Click here to see answer by stanbon(57203)

Question 390756: THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX POLYGON IS gIVEN. CLASSIFY THE POLYGON BY THE NUMBER OF SIDES.
1260Degrees
2160degrees
3240degrees
4680degrees
5400degrees
7560degrees
Click here to see answer by richard1234(5390)

Question 390881: I don't understand how to do this problem
An artist is creating a stained glass window and wants it to bea golden rectangle. To the nearest inch, what should be the length if the width is 24in. ?
Click here to see answer by richard1234(5390)

Question 390943: Find a number such that one half of it's square is equal to twice the number plus 8?
Click here to see answer by mananth(12269)

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