Questions on Word Problems: Geometry answered by real tutors!

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Question 752371: Ok so here's the question: i have to consider the region R = { (x,y) : x is greater than or equal to 0 and less than or equal to 6 AND y is less than or equal to (2/3)x and greater than or equal to 0 }. Which i know is a triangle. Then i have to sketch the solid of revolution S obtained by revolving R about the x-axis. Which i did. Now here's where i'm stuck. I have to find the formula for the area of the cross-section perpendicular to the x-axis at x=a, which i know will be a circle. So i started out with the formula for area of a circle which is A= pi(r)^2. and i think that i somehow have to use (2/3)x and x=a to solve for r, and then substitute for the "r" in the equation for area so that all i have to do when given an x value later is plug it in for a, but i'm lost as to how to do that...any idea?
Click here to see answer by KMST(1874)

Question 752235: whats a good word problem that incorporates distance formula, volume, and circles all in one problem need answers immediately! thank you
Click here to see answer by ankor@dixie-net.com(15667)

Question 752201: if an equilateraltriangle has 2 coordinates (-2,0),(2,0) find the third vertex?

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Question 752201: if an equilateraltriangle has 2 coordinates (-2,0),(2,0) find the third vertex?

Click here to see answer by reviewermath(535)

Question 751990: On an equilateral triangle where each side is 3cm and the perimeter is 9cm.....how do I find the area in feet?
Click here to see answer by richwmiller(9143)

Question 751949: The length of a rectangle is 4 more than its width, and the ratio of the length to its
width is 5 to 3. Find the dimensions of the rectangle.
Click here to see answer by JoeTaxpayer(145)

Question 751826: the perimeter of a square is thrice the perimeter of a rectangle. if the perimeter of the square is 84 cm and the length of the rectangle is 8 cm, what is the difference between the breadth of the rectangle and side of the square?
Click here to see answer by Cromlix(353)

Question 750894: A hallway has a area of 63 square feet. The length of the hallway is 7 times longer than the width. What is the length of the hallway.
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Question 751614: Jeremy created a small garden that measured 5 x 7.5 feet. How many 10 foot rolls of fencing will he need to completely surround the garden?
Click here to see answer by stanbon(57422)

Question 751511: a lamppost casts a shadow that is 16 feet long a 2.5 foot high mailbox casts a shadow that is 4 feet long how tall is the lamppost ?
Click here to see answer by dkppathak(43)

Question 751494: A 12 ft. flag pole is mounted on top of a school building.

If the top of the flagpole forms a 32° angle with the ground
50 ft. from the base of the building, about how tall is the school building?
Click here to see answer by stanbon(57422)

Question 751440: A pizza parlor has two different sizes of pizza. The smaller one has a diameter of 10 inches and the larger one has a diameter of 16 inches. What is the ratio of the area of the smaller pizza to the area of the larger pizza?
Click here to see answer by Cromlix(353)

Question 751370: The volume in cubic metres of water in an aquarium is given by the polynomial v(x)=x^3-16x^2+79x-120.If the dept in metres can be represented by x-3, what are the possible dimensions of the rectangular aquarium in terms of x if the aquarium holds 70 cubic metres (70 000 litres)
The answer is 7 by 5 by 2 i need the steps though!!
ANY HELP APPRECIATED!
Click here to see answer by josgarithmetic(1548)

Question 751082: What is the area of a circle with the circumference of 43.98226
Click here to see answer by Cromlix(353)

Question 751203: The perimeter of the rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 6 inches and its perimeter is 40 inches, find the length of the rectangle.
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Question 751193: The length of a rectangle is 5 inches more than the width. The perimeter is 70 inches. Find the length .
Click here to see answer by tommyt3rd(620)

Question 751152: A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order to buy tile to put around the edge of the pool. What is the circumference if he uses pi = 3.14
Click here to see answer by Cromlix(353)

Question 751033: √(a - 3)/(4)=2
Click here to see answer by lwsshak3(6527)

Question 751035: the length of a room is three and half times its width. if the perimeter of the floor of the room is 90 m , find the length and width of the room.

Click here to see answer by dkppathak(43)

Question 751009: The first problem on this page illustrates an important relationship between perimeter and area. Let’s change the problem slightly so that it applies to many cases at once. Instead of 60 feet, let’s say you have 4x feet of fencing, where x is any number. What, in terms of x, should the dimensions of the largest rectangular enclosure be, whose perimeter is 4x feet? What would the area be?
Click here to see answer by stanbon(57422)

Question 750920: The area of a patio is 90 square feet. The length of the patio is 1 foot longer than the width. What is the length of the patio?
Click here to see answer by jim_thompson5910(28598)

Question 750867: A rectangular parking lot covers an area of 1150 square feet. It is 20 feet longer than it is wide. An equation appropriate for finding the dimensions of the lot is:
Click here to see answer by JoeTaxpayer(145)

Question 750907: Find two consecutive integers that have a product of 182.
Click here to see answer by jim_thompson5910(28598)

Question 750884: The sum of the squares of two consecutive positive numbers is 41. What is the smaller number?
Click here to see answer by stanbon(57422)

Question 750884: The sum of the squares of two consecutive positive numbers is 41. What is the smaller number?
Click here to see answer by jim_thompson5910(28598)

Question 750883: The length of a rectangle is 8 inches greater than it' width. Find the width of a rectangle if it's area is 105 square feet.
Click here to see answer by jim_thompson5910(28598)

Question 750872: ha ha what is 5+4*8-9
Click here to see answer by jim_thompson5910(28598)

Question 750749: A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area of the sidewalk.
I have driven myself in circles on this problem. i originally found the area of the sidewalk to be 420 by multiplying 6*70 but upon further evaluation concluded that was incorrect by finding the area of the yard (70*70) to be 4900 and the area of the lawn (64*64) to be 4096 making the sidewalk take up 804 sqft of space. I am to a point where im thoroughly confused.
Click here to see answer by rothauserc(210)

Question 750789: Find an equation of variation where y varies directly as x and y = 8 when x = 2, find y when x = 10. Can you explain how to do these types of problems?
Click here to see answer by Cromlix(353)

Question 750541: johanna built a rectangular fence inside her garden that enclosed 102 square feet of land.If the length and width were both whole numbers which shows the least number of feet of fence johanna could have used

Click here to see answer by josmiceli(9697)

Question 750450: the cost of mailing a package varies directly as the weight. If a 20z package costs 44 cents to mail, how much does it cost to mail a 15 oz packages?
Click here to see answer by checkley79(3056)

Question 750414: a 15 foot ladder leaning against a building touches the wall 12 feet above the ground. How far from the building is the bottom of the ladder
Click here to see answer by Alan3354(30993)

Question 750477: To funnel down a 6x6 square at a 70 degree angle
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Question 750486: f(x) = x^2 find f(0), f(2), and f(-2)
Click here to see answer by jim_thompson5910(28598)

Question 750485: f(x) = x^2
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Question 750432: What is the area of a regular octagon measuring 37 m on each side?
Click here to see answer by tommyt3rd(620)

Question 750413: The area of a rectangle is 250ft. You want the length to be 5ft longer than twice its width. What should the dimensions of the rectangle be.
Click here to see answer by tommyt3rd(620)

Question 750412: in a right triangle the length of the hypotenuse is 52 and the length of one leg is 48 whats the length of the other leg
Click here to see answer by Alan3354(30993)

Question 750057: finding the perimeter of a 6sides hexagon with 12cm?

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Question 750076: At 3 pm,a 10-foot pole casts a shadow of 8 feet on a horizontal ground.How long must be a rope be,in order to connect the top of the pole and the tip of the shadow a the time of observation?
Click here to see answer by Cromlix(353)

Question 750067: A tree casts a shadow 18 feet long. At the same time, a vertical rod 9 feet high casts a shadow 6 feet long. How tall is the tree?
Click here to see answer by Cromlix(353)

Question 750039: Find, to the nearest square yard, the area of a triangular plot of ground that measures 15 yards by 20 yards by 25 yards.
Click here to see answer by tommyt3rd(620)

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