Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

Tutors Answer Your Questions about Length-and-distance (FREE)

Question 79841: Twenty-five feet of copper tubing weights 14 pounds. How much will 140 feet of the same tubing weigh?
Click here to see answer by checkley75(3666)

Question 79981: At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?
Click here to see answer by checkley75(3666)

Question 80186: The length of a rectangle is represented by x+1. Its width is represented by x-3. If the area of the retangle is 117 squre centimeters, what are the dimensions of the rectangle?
Note: I calculated -10cm and 12cm, however, the book provided anwers of 9cm and 13cm.
Click here to see answer by stanbon(57314)

Question 81032: Is the statement true always, sometimes, or never?

A: The diagonals of a rectangle are perpendicular.
B: The diagonals of a rectangle are congruent.
C: The diagonals of a rectangle are parallel.
D: A diagonal of a rectangle is perpendicular to a side of the rectangle.
Click here to see answer by Edwin McCravy(8908)

Question 81657: A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 1/2 feet longer than the second. How long is the first piece?

A. 1 1/10 feet
B. 2 1/5 feet
C. 2 3/4 feet
D. 3 1/3 feet

Click here to see answer by tutorcecilia(2152)

Question 82058: MERRIC IS BUYING A BOARD TO USE AS A DIAGONAL BRACE ON A RECTANGULAR GATE. THE GATE IS 36 INCHES AND 42 INCHES TALL. WHAT LENGTH OF BOARD SHOULD BE USED FOR THE BRACE?
Click here to see answer by checkley75(3666)

Question 82243: What is the main definition for the word Isometry?
Click here to see answer by neta(14)

Question 82887: A 6 FT. TALL MAN IS STANDING NEAR A TREE ON LEVEL GROUND. HIS SHADOW IS 4FT LONG. IF THE LENGTH OF THE TREE'S SHADOW IS EQUAL TO 18 FT.- HOW TALL IS THE TREE? ** THE ANSWER IS 27FT- I
AM CONFUSED ON HOW THEY GOT THAT ANSWER. PLEASE HELP. THANK YOU, CHRISTINA

Click here to see answer by stanbon(57314)

Question 83177: All day I've tried to get this word problem completed and I have no clue. Can you help me?
An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
Questions:
Find the function V that represents the volume of the box in terms of x.
Graph this function and show the graph over the valid range of the variable x.
Using the graph, what is the value of x that will produce the maximum volume?
Click here to see answer by Mona27(45)

Question 83304: what is the length of the major axis of the ellipse
3x(to the second power) + 4y(to the second power)=12
Click here to see answer by stanbon(57314)

Question 83304: what is the length of the major axis of the ellipse
3x(to the second power) + 4y(to the second power)=12
Click here to see answer by dolly(163)

Question 83268: The volume of a cube is given by V = s cubed. Find the length of a side of a cube if the Volume is 729 cm cubed.

Click here to see answer by checkley75(3666)

Question 83478: Find the length of the unknown side.
one side is 33 and the other side is 44.
Thanks, Jim
Click here to see answer by checkley75(3666)

Question 79770: Find the measure of an interior angle and an exterior angle of a regular polygon with 6 sides.
Click here to see answer by Nate(3500)

Question 83584: Find a value for k so that 9m squared-kn squared will have the factors 3m+7n and 3m-7n
Help please, and show step by step. Thank You
Click here to see answer by stanbon(57314)

Question 83583: I need to find all of the positive values for k for which each of the following can be factored.
xsquared+x-k
Click here to see answer by stanbon(57314)

Question 83582: I can not find a category to put this under, but would someone help me please.Please show me step by step also. Thank You
Factor the following trinomials completely.
xsquared-11x-60
Click here to see answer by stanbon(57314)

Question 83581: Geometry. The area of a rectangle of length x is given by 3xsquared+5x. Find the width of the rectangle.
Please show me how you figured this question step by step. Thank You
Click here to see answer by stanbon(57314)

Question 84241: the length of one of the equal legs of an isosceles triangle is 8cm less than 4 times the length of the base. If the perimeter is 29cm, find the length of one of the equal legs.
Click here to see answer by vertciel(183)

Question 84567: what is the midpoint between (7,3) and (2,1)?
thanks for your help

Click here to see answer by bucky(2189)

Question 84568: how do i find the other endpoint when the other Endpoint (5,0) and midpoint (-3,-5)?
Click here to see answer by funmath(2925)

Question 84771:
Click here to see answer by dolly(163)

Question 84792: I don't know if this is the correct section for this. Find the distance between (-4,0) and (-5,-3).
Click here to see answer by bucky(2189)

Question 84778: I need help with this:Find the distance between the plotted points which are (-4,7) and (-6,1)
Click here to see answer by funmath(2925)

Question 85231: Please help me i am really confused
Line through the point (6,5)
and parallel to the line 2x+3y=7
Click here to see answer by Lacey020991(49)

Question 85231: Please help me i am really confused
Line through the point (6,5)
and parallel to the line 2x+3y=7
Click here to see answer by ganit(6)

Question 85378: I am really confused with this question
Use slopes to show that (a) vectors (7,-2) and (-14,4) are parallel, and (b) vectors (7,-2) and (4,14) are perpendicular
Click here to see answer by scianci(186)

Question 85379: A parallelogram has coordinates O(0,0), A(7,1), B(4,5) and C(-3,4)
Use the midpoint formula to show that the diagonals of OABC bisect each other
Click here to see answer by scianci(186)

Question 85404: I really need help with this one, can someone please help me
Use coordinate geometry to prove that the quadrilateral OPQR with vertices O(0,0),P(9,3),Q(9,8), and R(-3,4) is an isosceles trapezoid.
Click here to see answer by scianci(186)

Question 85584: Connie and Ron walked to a dock at 3 miles per hour, jumped into a boat, and motored to Dillion at 10 miles per hour. If the total distance was 48 miles and the trip took 7.25 hours in all, how far did they go by boat?
Click here to see answer by stanbon(57314)

Question 87074: I don't know where to begin with this problem!! Please help. Thanks you.
A candle is lit at 5:30 p.m. Another candle, 1 cm shorter than the first, is lit at 7 p.m. The candles are the same length at 9:30 p.m. The first candle burns out at 11:30 p.m. and the second one at 11:00 p.m. How tall was the longer candle?
Click here to see answer by josmiceli(9671)

Question 87270: determine the length of fencing that the following field requires in order ti have it completey enclosed.
width=5m+9
length= 4m²+7m+10
Click here to see answer by stanbon(57314)

Question 87439: This is asking to find the distance between (6,0)and (-7,0)
I am getting stuck on the first step, how do bracket (0,0)?
please help

Click here to see answer by rapaljer(4667)

Question 87541: A fish is 75 cm long.The head is as long as the tail.If the head were twice as long and the tail were its present length,the body would be 45 cm long.How long is each portion of the fish?
Click here to see answer by stanbon(57314)

Question 87651: A certain kind of wood weighs 0.85 g per cubic cm. An 18cm by 12cm by 10cm block of that wood is floating in water. Approximately what weight of water does the block displace?
Click here to see answer by stanbon(57314)

Question 87808: A bottle when empty weighs 115g and 1.22kg when filled with water. About how many mL of water does it contain if 1mL of water weighs approximately 1g?
Click here to see answer by bucky(2189)

Question 88615: The equation h=-16t+112t gives the height of an arrow shot upward from the ground with an initial velocity of112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180ft
Click here to see answer by ankor@dixie-net.com(15649)

Question 88645: A 25-foot ladder leaning against a building touches the wall 16 feet above the ground. How far from the building is the bottom of the ladder?
Click here to see answer by jim_thompson5910(28593)

Question 88963: Factor each of the polynomials completely. 14x^2 - 20x + 6. I factored 14 to 7*2 and 6 to 2*3. then the parenthesis. (7x -3)(2x -2). But what I do not understand is how this would equal 20x. That is the part I am stuck on.
Click here to see answer by jim_thompson5910(28593)

Question 88935: If someone could help me with this distance word problem it would be greatly appreciated. Thank you
During rush hour, Ella can drive 50 miles using the side roads in the same time it takes to travel 20 miles on the freeway. If Ella's rate on the side roads is 9 mi/hr faster than her rate on the freeway. Find her rate on the side roads.
Click here to see answer by scott8148(6628)

Question 89454: I have a problem that has thrown me for a loop. I am to find all values of y such that the distance between (3,y) and (-2,9) is 12. I tried to solve this problem by using the distance formula (X1,Y1)and (X2,Y2). Which looks like this d=the square root of (X2-X1)2 + (Y2-Y1)2 ***this is all under the square root symble and the 2 are squares**
(-2-3)2+(3-y)2 remember the 2's are sqrares and the problem is under the sqrare root symbole
(5)2+ (3-y)2
100+9-y2
109-Y2
I'm not sure if I am on the right path. Please help!
(sorry i do not know how to put the root symbole or make the 1 by the X and Y small on the computer)
Click here to see answer by stanbon(57314)

Question 90117: If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C)
Click here to see answer by kamallohia(18)

Question 91982: Terence’s dog has a dog house that is 3’ wide and 5’ long. He is building a fence so that way the dog can stay within 4’ of the doghouse on each side. What would be the area inside the fence?
Click here to see answer by scott8148(6628)

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