Questions on Word Problems: Geometry answered by real tutors!

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Question 200134: lisa is using a 100 foot rope to enclose an area, which shape will have the maximum area ? square, triangle, circle, hexagon, pentagon, or rectangle

Click here to see answer by Alan3354(69443)

Question 200555: Area of a Painting
A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.

Click here to see answer by Earlsdon(6294)

Question 200734: the length of a table is 5m greater than the width. the area is 66m^2. Find the dimensions of the table.
Click here to see answer by rfer(16322)

Question 200841: A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tangency on the y-axis?
Click here to see answer by nerdybill(7384)

Question 200873: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle.
Click here to see answer by ankor@dixie-net.com(22740)

Question 200956: A manufacturer of cartridges for stereo systems has designed a stylus with parabolic cross section. The equation of the parabola is y=16x^2 where x and y are measured is millimeters . If the stylus sits in a record groove whose sides make an angle with the horizontal direction where tan of the angle = 1.75 , find the points of contact P and Q of the stylus with the groove.
Click here to see answer by josmiceli(19441)

Question 201065: Find the values of a and b that result in the given sum.
[(a+1)x^2 + bx + 2] + [(b-2)x^2 - ax + 5] = x^2 - 4x + 7

Please help. Thanks
Click here to see answer by jim_thompson5910(35256)

Question 201183: 1)The length of a rectangle is 1 meter less than four times the width. If the area of the rectangle is 60 square meters, find the dimensions. Width____ft, Lenth_____ft.
2
Thanks.
Click here to see answer by solver91311(24713)

Question 201345: A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the demensions of the original rectangle?
Click here to see answer by nerdybill(7384)

Question 201482: A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds long or 60 seconds long. If the total commercial time during 1 hour is 13 min, how many 30 second commercials were played that hour? How many 60 second commercials?
Click here to see answer by stanbon(75887)

Question 201476: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 70 degrees. Find the measures of the angle.
Click here to see answer by checkley77(12844)

Question 201475: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 70 degrees. Find the measures of the angle.
Click here to see answer by checkley77(12844)

Question 201565: Point j is between H and K on HK. use the given information to write am equation in terms pf x. solve the equation. then find HJ and JK
HJ=2x
JK=3x
kh=25
Click here to see answer by checkley77(12844)

Question 201641: How do I figure out the diagonal measurments of a square?
Click here to see answer by Alan3354(69443)

Question 201641: How do I figure out the diagonal measurments of a square?
Click here to see answer by RAY100(1637)

Question 201737: Please help me with this!!!! Thank you!!!
~~~The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 centimeters. What are the dimensions of the rectangle?
Click here to see answer by stanbon(75887)

Question 201686: TWO CIRCLES TOUCH EXTERNALLY.THE SUM OF THEIR AREA IS 130 sq cm AND DISTANCE BETWEEN THIER CENTRES IS 14 cm .FIND THE RADII OF CIRCLES....?
I'LL BE THANKFUL.....
Click here to see answer by solver91311(24713)

Question 201927: How would you set up this problem in order to solve it? :
One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2 times the other leg by 4 inches.
Click here to see answer by vleith(2983)

Question 201933: The diagonal of a square is 2 meters longer than a side. Find the length of a side.
Click here to see answer by Earlsdon(6294)

Question 201946: If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
Click here to see answer by stanbon(75887)

Question 201966: if cot A= 1.96000 and the acute angle A has to be determined, which one of the following expressions will give the seconds of the angle ?
Click here to see answer by Alan3354(69443)

Question 201965: find the value of the trigonometric function
tan 64 degree 6' 45 degree
Click here to see answer by Alan3354(69443)

Question 202039: A rectangular flower bed is to be twice as long as it is wide. If the area enclosed must be greater than 98m squared, what can you conclude about the width of the flower bed.
Click here to see answer by checkley77(12844)

Question 202046: A grassya area is to be seeded around three sides of a building and has equal width on the 3 sides, as shown below. What is the seeded area?
Click here to see answer by Alan3354(69443)

Question 202054: A standardized test has a mean score of 64 with a standard deviation of 6
what percentage of students score higher than 70 on the standardized test?
what percentage of students score higher then 76 on the standardized test?
What percentge of students score lower than 58?

Click here to see answer by RAY100(1637)

Question 202408: Draw a triangle that has sides of lengths 3.6cm and 5.2cm and a 42 degree angle between these two sides?
Click here to see answer by dyakobovitch(40)

Question 202751: A farmer purchased 730 feet of fencing to enclose a rectangular garden. If the length of the garden is 5 feet more than 3 times the width, what are the dimensions of the garden?
Click here to see answer by jsmallt9(3758)

Question 202969: Area of a painting. A rectangular painting with a width of
x centimeters has an area of x^2+ 50x square centimeters.
Find a binomial that represents the length.
Click here to see answer by solver91311(24713)

Question 202970: Amount of an investment. The amount of an investment
of P dollars for t years at simple interest rate r is given by
A= P+Prt.
a) Rewrite this formula by factoring out the greatest
common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simple
interest rate of 15%.
Click here to see answer by Earlsdon(6294)

Question 202991: My question is:The measure of each interior angle of a regular polygon is 8 times than of an exterior angle. how many sides does a polygon have?.Thank you.
Click here to see answer by stanbon(75887)

Question 203070: A rectangular track was being built so that the length of one of the short sides was half the length of one of the long sides. The track was supposed to be 300 yards around. At the last minute, the plans for the track were changed and a semicircle was added at each of the short ends. What is the distance around the track after the plans were modified?
I know that the width of the rectangular part of the track is 50, and the length is 100. (2x+2x+x+x=300 -> 6x=300 -> x = 50)
Don't know what to do from here.
Click here to see answer by solver91311(24713)

Question 203194: Do you think that it would be easier or more difficult to visualize solids as compared to objects in one or two-dimensional planes? Are there obvious examples that you can come up with of solids that appear or are being used in our daily lives and the environment that surrounds us?
I know that it is very difficult to not be able to see all sides of a solid but I could not think of any examples. Can someone please help me.
Click here to see answer by stanbon(75887)

Question 203338: . If a wholesaler buys 100 pounds of shrimp for x dollars, then what is the price per pound?
Again, set it up as x/100 but unsure on how to solve.
Click here to see answer by Earlsdon(6294)

Question 203354: Bear population. To estimate the size of the bear
population on the Keweenaw Peninsula, conservationists
captured, tagged, and released 50 bears. One year later, a
random sample of 100 bears included only 2 tagged bears.
What is the conservationist’s estimate of the size of the
bear population?
I think the ratio is something like 50 to 2 but when I try to work this out
it does not make sense.
Click here to see answer by scott8148(6628)

Question 203376: Karla has 70m of fencing and plans to make a square pen, in one side she is going to leave an opening is 1/2 of the length of the side. if she uses all 70m of fencing, how large can the square be?
Click here to see answer by rfer(16322)

Question 203861: A rectangular garden is to be fenced with 100 meters of fencing. The wall of the house will be one side of the garden, so the fencing is needed only on three sides. What is the largest garden possible?
Click here to see answer by nerdybill(7384)

Question 203860: A rectangular garden is to be fenced with 100 meters of fencing. The wall of the house will be one side of the garden, so the fencing is needed only on three sides. What is the largest garden possible?
Click here to see answer by nerdybill(7384)

Question 203929: I need you favour about this:
The area of a trapezoidal field is 1400 km^2. Its altitude is 50m. Find the two bases, if the number of meters in each base is an integer divisible by 8. Find the number of solutions to this problem.
I considered (a+b)50=1400
thus: a+b=56
but I don't know about the rest!!!
Click here to see answer by vleith(2983)

Question 203930: Could you help me to solve and understand this one?
Water is flowing through a cylindrical pipe of radius 1,5 cm at the rate of 1 m^3 every 4 min. At what speed is the water moving in the pipe in cm/s?
Click here to see answer by josmiceli(19441)

Question 204016: How to find the surface area of the solid. The pyramids are regular, and the prisms, cylinders and cones are right.
Please refer to the textbook ISBN 0669 45530-X Geometry: An Integrated Approach
1998 Chapter 12 section 3 Problem # 23
This problem has a rectangle (as a tower) and on the top it has a pyramids. I tried many time to find the answer but I did not find the correct way to do it. PLease help me!
Thank you!
Click here to see answer by Earlsdon(6294)

Question 204009: How to find the intersection of the sphere and the plane? I am providing the name of the book and the chapter--Geometry: An Integrated Approach 1998
ISBN 066945530X Chapter 12 section 6 Problem #'s 29 to 32
My son has a final test tomorrow at 8:00 a.m. Pacific time, and I would appreciate very much if you can help him to learn how to find these areas>
Thank you.
Click here to see answer by Alan3354(69443)

Question 204018: How to find the surface of the solid? Remember to include the area of both lateral surfaces.
ISBN 0669 45530 X Geometry: An Integrated Approach 1998 Chapter 12 Section 2
Problem #'s 23/24/25
Last night, for a few hours, I tried to find the process to obtain the correct solution for these problems, but I was unable to do it. Would you please help me to learn how to do it?
Thank you!
Click here to see answer by Alan3354(69443)

Question 204031: The perimeter of a swimming pool is 96m. The width is 3m more than half the length of the pool. find the length and breadth of the pool.
Click here to see answer by ankor@dixie-net.com(22740)

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