Knights
Popular questions and responses by Knights
A probability question i think
In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally upward and to the right. How many ways are there for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard? Thanks in
asked on December 11, 2012 
help hexagon geometry
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon? Express your answer as a common fraction. How is this
asked on December 19, 2012 
Trigonometry question?
Let ABCD be a square, and let M and N be the midpoints of BC and CD respectively. Find sin
asked on March 28, 2013 
Circles / Square
Alicia has a flat platter shaped like a square with a semicircle of diameter 10 inches on each edge. What is the number of inches in the side length of the smallest square that can contain the platter (which contains the square with the semicircles on each
asked on March 25, 2013 
geometry inequality triangles help if you can
Two sides of an obtuse triangle are 16 and 21. How many possible lengths are there for the third side, if it is a positive integer? i know that in an obtuse triangle a^2+b^2c but i tried plugging in and it wont work so couldyou guys help me? btw merry
asked on December 31, 2012 
Mathematics  Geometry 
A bowling ball is a solid ball with a spherical surface and diameter 30 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Kris has holes drilled that are 8 cm deep and have diameters of 2 cm, 2 cm, and 3 cm.
asked on February 12, 2013 
please help this is a geometry question
An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centimeters in the volume of the cone? Express your answer to the nearest whole number, without units. I have tried solving this but it
asked on December 5, 2012 
Bisectors in a Triangle
Let ABC have side lengths AB=13, AC=14, and BC=15. There are two circles located inside
asked on March 26, 2013 
Help please with reflection problem!?
A laser is shot from vertex A of square ABCD of side length 1, towards point P on BC so that BP = 3/4. The laser reflects off the sides of the square, until it hits another vertex, at which point it stops. What is the length of the path the laser takes?
asked on February 22, 2013 
Centroids and Triangles  determining perimeter?
Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC. I drew the diagram, but it doesn't really help....
asked on March 27, 2013 
Geometry  semicircle inside isosceles triangle
Isosceles triangle ABC has sides of length AB=AC=25 and BC=40 . Find the area of a semicircle inscribed in triangle ABC with diameter along BC . Please help I do not know how to start....
asked on March 21, 2013 
math problem triangle inequality help
Two sides of a triangle are 11 and 17. How many possible lengths are there for the third side, if it is a positive integer? I tried listing them all but I get confused...Please help thank you!
asked on December 26, 2012 
PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY
PLEASE HELP I REALLY NEED HELP. Each of the three circles in the figure below is externally tangent to the other two, and each side of the triangle is tangent to two of the circles. If each circle has radius three, then find the perimeter of the triangle.
asked on February 2, 2013 
Circle Geometry  chords in a circle
Let PQ, RS , and TU be parallel chords of a circle. The distance between chords PQ and RS is 4, and the distance between chords RS and TU is also 4. If PQ = 78 TU=50 , then find RS. how to do this? Draw some lines?
asked on March 21, 2013 
please help with analytic geometry if you can
Find the maximum value of y/x over all real numbers x and y that satisfy (x3)^2+(y3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution??
asked on March 1, 2013 
PLEASE HELP geometry trapezoid problem please help
The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid. I don't get it... i got as far as the area is 40, and m (median) times the height is 40 as well... please help!
asked on December 4, 2012 
Analytic Geometry  lengths?
Square ABCD has sides of length 4, and M is the midpoint of CD . A circle with radius 2 and center intersects a circle with radius 4 and center A at points P and D . What is the distance from P to AD? Please help  I drew the diagram, but looks kinda
asked on April 4, 2013 
Analytic Geometry  Circles and Areas
Let R denote the circular region bounded by x^2+y^2 = 36. The lines x=4 and y=3 partition R into four regions R1, R2 ,R3 , and R4. Let [Ri] denote the area of region Ri. If [R1]>[R2]>[R3]>[R4] , then compute [R1][R2][R3]+[R4]. Could someone help me, I
asked on April 3, 2013 
Geometry  Circles and tangents
Two circles of radius 1 are externally tangent at Q . Let PQ and QR be diameters of the two circles. From P a tangent is drawn to the circle with diameter QR , and from R a parallel tangent is drawn to the circle with diameter PQ . Find the distance
asked on March 21, 2013 
analytic geometry/graphing problem
The vertices of a triangle are the points of intersection of the line y=x1, x=2 and y = 1/5x + 13/5. Find an equation of the circle passing through all three vertices. I don't understand how to solve this: should I set them all equal to find the
asked on March 19, 2013 
Graphing Circles  Finding the radius
A circle is tangent to the yaxis at the point (0,2) and passes through the point (8,0). Find the radius of the circle. I tried using distance formula but it doesnt work? Help please thanks.
asked on March 10, 2013 
analytic geometry helps are appreciated
For some positive real number r , the line x+y=r is tangent to the circle x^2+y^2 = r. Find r. How do we do this? Set equal equations together??
asked on March 1, 2013 
Please help analytic geometry
A line with slope 6 bisects the area of a unit square with vertices (1,0), (0,0) , (1,1), and (0,1). What is the yintercept of this line? I tried putting one point where the line intersects the square as (y,1), and the other as (x,0), and the y intercept
asked on March 9, 2013 
Please help with graphing in geometry
Find the largest real number x for which there exists a real number y such that x^2+y^2 = 2x+2y . I think it is a circle, but how am i supposed to figure this out??
asked on March 9, 2013 
analytic geometry helps are appreciated
A line with slope 3 is 2 units away from the origin. Find the area of the triangle formed by this line and the coordinate axes. How is this even going to be done? We are given little info but a bunch of variables. Could someone help please??
asked on February 27, 2013 
Help triangle angles!
Points D, E, and F are the midpoints of sides BC, CA, and AB of ABC, respectively, and CZ is an altitude of the triangle. If
asked on December 19, 2012 
double square root problem?
Hi I do not how to simplify the problem x^2 =40+12sqrt2 what would be x? BTW if you sqrt both sides it would be double square root so what then? how to simplify?
asked on December 19, 2012 
I am really struggling on this problem  geometry
Please help guys if you can, this is a really hard problem I am trying to solve Four circles of unit radius are drawn with centers (1,0),(0,1) ,(1,0) ,(0,1) and . A circle with radius 2 is drawn with the origin as its center. What is the area of all
asked on December 5, 2012 
Trigonometry  Cosine of angle
What is the cosine of the angle between two adjacent faces of a regular tetrahedron? (We define the angle between two intersecting planes as the angle between two intersecting lines, one in each plane, such that each line is perpendicular to the line at
asked on April 4, 2013 
Triangle inequality?
Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? I tried using the triangle inequality but to no avail...how would I do this?
asked on April 3, 2013 
Circumcenter of Triangle in circle
Equilateral triangle ABC and a circle with center O are constructed such that BC is a chord of the circle and point A is the circumcenter of BCO in its interior. If the area of circle with center O is 48pi, then what is the area of triangle ABC? How to do
asked on March 29, 2013 
Please help with circle tangents geometry
Two circles of different sizes are tangent at T. A is on the smaller circle, whereas B is on the larger one. Also, segment CD is tangent to the smaller circle, and crosses the goes through the larger circle and hits the other side at D. TD is a diameter,
asked on March 24, 2013 
Trigonometry  finding cos 36 given cos 72?
Please help, I know cos 72 degrees = (sqrt 5  1)/4. I need to know what cos 36 degrees is. How to do so?
asked on March 18, 2013 
slope and graphing
The lines y=5/12x and y=4/3 are drawn in the coordinate plane. Find the slope of the line that bisects these lines. How? Do we find the average? Do we build isosceles triangles?
asked on March 10, 2013 
Analytic geometry  finding point by intersect lin
I have a triangle ABC. The slope of AB is 1/ab, the slope of AC is 1/ac, and the slope of BC is 1/ac. My question is, I have 3 lines: Altitude from A to BC, altitude from B to AC, and altitude from C to AB. I know their slope because it is just
asked on March 5, 2013 
Analytic Geometry  Reflecting points over lines
Let P = (5,1), and let Q be the reflection of P over the line y = 1/2x + 2. Find the coordinates of Q. I don't understand how to start? Should we draw perpendicular lines? Analytic Geometry  Reflecting points over lines  Steve, Monday, March 4, 2013 at
asked on March 4, 2013 
Analytic Geometry  Reflecting points over lines
Let P = (5,1), and let Q be the reflection of P over the line y = 1/2x + 2. Find the coordinates of Q. I don't understand how to start? Should we draw perpendicular lines?
asked on March 4, 2013 
Geometry  Dilation of a square
The preimage of square ABCD has its center at (8,8) and has an area of 4 square units. The top side of the square is horizontal. The square is then dilated with the dilation center at (0,0) and a scale factor of 2. What are the coordinates of the vertex
asked on March 2, 2013 
analytic geometry helps are appreciated
Find the maximum value of y/x over all real numbers x and y that satisfy (x3)^2+(y3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution??
asked on March 1, 2013 
analytic geometry helps are appreciated
Find the maximum value of y/x over all real numbers x and y that satisfy (x3)^2+(y3)^2 = 6. It is a circle, but how do we even begin? As a matter of fact, how is there not only like 1 solution?? No one has answered this question yet.
asked on March 1, 2013 
Please help on geometry  analytic geometry
What is the area, in square units, of a triangle whose vertices are at (4,1), (10,3) and (4,5) ? How to do this?
asked on February 22, 2013 
Geometry  please help  reflections
A laser is shot from vertex A of square ABCD of side length 1, towards point P on BC so that BP = 3/4. The laser reflects off the sides of the square, until it hits another vertex, at which point it stops. What is the length of the path the laser takes?
asked on February 22, 2013 
please help with geometry  dilation
When a square of area 4 is dilated by a scale factor of k, we obtain a square of area 9. Find the sum of all possible values of k. I do not understand...it is not 3/2, as I was told, but I don't understand why? Help?
asked on February 21, 2013 
Geometry  Transformations and Dilations
When a square of area 4 is dilated by a scale factor of k, we obtain a square of area 9. Find the sum of all possible values of k. I do not understand...it is not 3/2, as I was told, but I don't understand why? Help?
asked on February 21, 2013 
Please help with a trapezoid  circle problem
A circle with radius 3 is inscribed in a isosceles trapezoid with legs of 10. Find the length of the smaller base. When I draw a diagram, calling the trapezoid ABCD with A and D at the bottom, I see that the length from where the altitude from B and C hits
asked on February 18, 2013 
I need help on a geometry cone/frustrum problem
A sphere with radius 3 is inscribed in a conical frustum of slant height 10. (The sphere is tangent to both bases and the side of the frustum.) Find the volume of the frustum. Could someone help me? I can't find the radius of the cone....
asked on February 16, 2013 
Proof math problem help? Please help if you can!
Let AB be the diameter of a circle, and let point P be a point on AB. Let CD be a chord parallel to AB. Prove that PA^2 + PB^2 = PC^2 + PD^2 It can be solved using geometry methods (no trig). Anyway, I figured out that PA^2 +PB^2 = 2OP^2 + 2OB^2. However,
asked on January 15, 2013 
Mock Trial
Hi all, I belong to a education group, and we practice Mock Trial. Where can I find a video of a real trial going on so I can learn from it? Thanks all and Happy New Year!
asked on January 1, 2013 
triangle inequality  altitudes help plz
hi guys ive be struggling on this problem for a couple of days, so please help if you can Problem:Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? Thanks in advance
asked on January 1, 2013 
altitude triangle inequality
hi guys ive be struggling on this problem for a couple of days, so please help if you can Problem:Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? Thanks in advance
asked on December 31, 2012 
please help  area of a dodecagon?
The distance between two opposite vertices of the dodecagon is 2. Find the area of the dodecagon. first, what is the area of a dodecagon and second how to find it with just the distance between two oppositve vertices. i found that a dodecagon can be
asked on December 18, 2012 
Math could you help this is kinda hard and urgent
The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid. I tried figuring this out... by the way i got median times height is 40 and also notice that we are talking about the diagonals not
asked on December 4, 2012

math
2/3x  1/4 x = 500 8/12  3/12 = 500 5/12 x = 500 x = 1200
posted on April 13, 2013 
maths plseee urgently
plug in calc to get roughly 0.261496941........
posted on April 12, 2013 
Science Check answer
I tried to use outside sources for my answers but feel free to check on the internet for help.
posted on April 12, 2013 
Science Check answer
1. a 2. you are right 3. correct 4. thermal radiation you are correct 5. Best is Radiation Next is Conduction Last is convection (air) So false 6. An example of potential energy is a ball sitting at the top of a ramp, but not moving. It has potential
posted on April 12, 2013 
algebra :( help me!!
Probably mean because it is the average and thus in total the exact center of each group.
posted on April 12, 2013 
interpersonal communication
Is there a question?
posted on April 12, 2013 
math
a. factor would be if 2x+y * something else but it is not b. this is a factor beause it is 2x+y * something else c. sum of two terms because two terms are added d. yes it is a product because two terms are multiplied
posted on April 12, 2013 
science
Yeah, that is true. But the standard definition for the atomic number is the proton, since electrons can vary. Quote "The atomic number is equal to the number of protons in an atom's nucleus. The atomic number determines which element an atom is." from
posted on April 11, 2013 
math
a. false b. true c. true d. true
posted on April 11, 2013 
math
3b(5b8f) = 15b^2  24bf
posted on April 11, 2013 
math
If it is 30 feet long, the other side is also 30 feet long. Thus, we have 30/15 + 1 = 16 saplings for one side. This, multiplied by 2 gives us 32 in all without the width. Now we only have 4832 = 16 saplings left. Each side minus 2. Thus, we have x/21
posted on April 11, 2013 
algebra1
distance = rate times time. Use the formula and plug in the constants and variables.
posted on April 11, 2013 
math
a. False b. true c. true d. true
posted on April 11, 2013 
science
EDIT  Damon is right, for number 4.
posted on April 11, 2013 
Math
Um...are we given how many shares?
posted on April 11, 2013 
Algerba 1
woops for the first I looked at it wrong... 3 * 10^10 xs 7 x 10^4 = 21 x 10^6 = 2.1 x 10^7 And ma'm, I believe it is written in scientific notation...
posted on April 11, 2013 
Algerba 1
1. 3 * 10^4 * 7 * 10^4 7*3 = 21 10^4 * 10^4 = 10^0 = 1 21 * 1 = 21 2.1 * 10^1 2. (5*10^4)^2= 25 * 10^8 = 2.5 * 10^9
posted on April 11, 2013 
science
1. located in electron cloud 2. 8 3. protons 4. True. The closer the atoms are to the nucleus, the more energy it takes to move them between the levels. 5. True
posted on April 11, 2013 
Math
For average grade of 90, must all add up to the average times the amount of tests. So, 90*5 = 450 x+ 93+ 82+91+88 = 450 x+(82+88) + (91+93) = 450 x + (170 + 184) = 450 x+ 354 = 450 x+4 + (350) = 450 x+4 = 100 x = 96
posted on April 11, 2013 
chemistry
1. Usually sulfur smells like rotten eggs, but not the element sulfur, because sulfur is usually associated with hydrogen sulfide, which smells like rotten eggs too. 2. Probably aluminum sulfide if I had no other guess....also because no picture. 3.
posted on April 11, 2013 
Math Geometery
No problem :D
posted on April 11, 2013 
math
answered question please do not double post
posted on April 11, 2013 
math
we get 238 km in 15 days 30 days is 30/15 = 2 times that so must be 2 * 238 = 476
posted on April 11, 2013 
math
Honestly, it is neither beneficial to any of us for you to continually post so many questions without an explanation of what you need. Anyways, 137 / 6 = firecrackers / duds 137/6 = 2466/x = firecrackers / duds 137/6 = 2466/x cross multiply to get 137x =
posted on April 11, 2013 
Math Geometery
No. Imagine the center of the polygon. It can only have one point where the vertical line of symmetry hits the center of the polygon. So only one.
posted on April 11, 2013 
math
8A = 7B A + 14 = B 8A = 7(A+14) = 8a = 7A + 7*14 A = 7*14 A = 7*7*2 = 49*2 = 98 mph B = 98+14 = 112
posted on April 11, 2013 
math
1/1/55+1/30 = 1/ (17/330) = 330/17 min
posted on April 11, 2013 
History
Fetterman massacre. In December 1866, the Native American allies attacked and defeated a United States unit in what the whites would call the Fetterman Massacre (or the Battle of the Hundred Slain), which resulted in the most U.S. casualties of any Plains
posted on April 5, 2013 
Maths
sin 30 = 1/2 thus, we get 3/2  2cos 60 cos 60 = 1/2 thus we get 3/2  2/2 = 1/2 tan45 = 1 so the equation is just 4cos60  2cos60 cos 60 = 1/2, as previously mentioned thus, we get 2  1 = 1..... btw...I think you can just plug these functions into your
posted on April 5, 2013 
math
I agree. Please explain what you came up with and how far you have gotten before posting 10 questions in a row.
posted on April 5, 2013 
geometry
We are not given the area, perimeter, or any other info to solve for x....Now if LMNO was a rhombus, that would be different.
posted on April 5, 2013 
maths
We are not given any other lengths or angles. It is impossible to determine the area of the triangle. x^2+y^2 = 65 we need to find 2xy
posted on April 5, 2013 
algebra 1
1 hour = 60 minutes 1 minute = 60 seconds so one hour = 3600 seconds this is 3600/8 = 450 times of the given. So in one hour, the car runs 450 * 40 = 18000 feet. 18000 / 5280 = roughly 3.4 miles To the nearest whole number, the car goes at 3 miles per
posted on April 5, 2013 
Maths
multiply all by abcd to get bcd+acd+abd+abc = abcd.
posted on April 5, 2013 
Government senior college ikoyi
Basically the inradius of the equilateral triangle. The formula for that is inradius * semiperimeter (half the perimeter) = area We know that the formula for calculating the area of a equilateral triangle is s^2 sqrt 3 /4 so we get 100sqrt3 as the area of
posted on April 5, 2013 
Math
Please explain your logic before posting all the questions.
posted on April 4, 2013 
Math
6 * 1 1/2 meters of cloth = 6 * 3/2 = 9 meters of cloth. a meter is roughly a yard. so we need about 9 yards. However, a yard is a bit less than a meter, so to make sure, buy 10 yards of cloth.
posted on April 4, 2013 
Science
btw this is from wiki answers
posted on April 4, 2013 
Science
Your body needs oxygen in order to efficiently break down glucose and process it into your cell's primary energy source (ATP). As you do more intense exercise, you need more energy and therefore more oxygen. Your blood carries oxygen from the lungs to your
posted on April 4, 2013 
Math
No you don't. FALSE, you find a common denominator, keep that denominator, and add the numerator.
posted on April 4, 2013 
math ugh.
20/20  9/20 = 11/20 Then, since the ratio between male and female is 11/20 / 9/20 = 11/20 * 20/9 = 11/9, we can use this to figure the amount of males. multiply by 2160 (number of females) to get 2640.
posted on April 4, 2013 
Math
Could you please stop repeatedly posting a quadrillion questions and perhaps ask why you don't get the problem maybe? Anyway, False because many even numbers are negative.
posted on April 4, 2013 
math ugh.
since 9/20 were female, 11/20 were male 11/9 * 2160 = 2640 males.
posted on April 4, 2013 
Math
I believe I answered the question, just find the probability of 7 failures ( a 6/7 chance each time) 3 successes (a 1/7 chance each time) Then multiply.
posted on April 4, 2013 
Math
True....I said that in a previous response.
posted on April 4, 2013 
Math
I answered this kind of question before, so I won't get into detail. Before I showed that subtracting a negative number will move you right. It follows that adding one will move you left. Thus, TRUE.
posted on April 4, 2013 
Math
np
posted on April 4, 2013 
art
emotionalism
posted on April 4, 2013