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

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

Question 146722: i filled pages to find the answer but i dont think its right please help!
Here is the problem:
How long of a shadow would light 30 feet off the ground make when shining on an object 10 feet tall that is 20 feet away from the light?
Click here to see answer by scott8148(6628)

Question 146750: The distance between the points (-2,-4) and (3,8) is ?
Click here to see answer by Alan3354(69443)

Question 146808: #6. We know that |[3,4]| = 5; how do we find a vector that points in the same direction and has length 1?
Click here to see answer by Fombitz(32388)

Question 147049: Find K so that the vectors [4,-3] and [k,-6] (a) point in the same direction
(b) are perpendicular
Click here to see answer by Fombitz(32388)

Question 147104: Plot all points that are 3 units from the x axis. Describe the configuration. Then, plot all the points 3 units from (5,4) and describe their configuration.
I know that all of the points 3 units from the x axis are along the line y=3. I just don't know how to find the units from (5,4). THANKS!!!
Click here to see answer by Alan3354(69443)

Question 147044: The line 3x+2y=16 is the perpendicular bisector of the segment AB Find coordinates of point B given that a) A=(-1,3) (b) A=(0,3)
Click here to see answer by edjones(8007)

Question 146948: This problem has 3 parts. I figured out the answer to a and b. i only need c.
Let A = (-2,3), B = (6,7), and C = (-1,6).
a.) Find an equation for the perpendicular bisector of AB.
My answer is: y= -3x +3
b.) Find an equation for the perpendicular bisector of BC.
y= -3x + 13
c.) Find coordinates for4 a point K that is equidistant from A, B, and C.
Click here to see answer by Edwin McCravy(20054)

Question 147901: the width of an rectangle is fixed at 10 cm. what lengths will make the perimiter greater than 100cm?
Click here to see answer by Fombitz(32388)

Question 147947: what is the linear scaling factor for a dollhouse?
Click here to see answer by stanbon(75887)

Question 148155: a rectangular plot has been fenced with 300 meters of long wire . find the length and breadth of the plot,if the length is twice its width. Also find the perimeter
Click here to see answer by Alan3354(69443)

Question 148142: The diagonals of rhombus ABCD meet at M. Angle DAB measures 60 degrees. Let P be the midpoint of AD and let G be the intersection of PC and MD. Given that AP = 8, find MD, MC, MG, CG, and GP.
thank you all veryyyy much !
Click here to see answer by orca(409)

Question 149116: stacy wants to decorate the side of a cylindrical can by using a rectangular piece of paper and wrapping it around the can. the paper is 21.3 cm by 27.5 cm. find the two possible diameters of the cans that stacy could use. (assume the paper fits exactly.)

thx :]
Click here to see answer by josmiceli(19441)

Question 149127: please help me!

a piece of a broken circular gear is brought into a metal shop so that a replacement can be built. a ruler is placed across two points on the rim, and the length of the chordd is found to be 14 inches. the distance from the midpoint of this chord to the nearest point on the rim is found to be 4 inches. find the radius of the original gear.
Click here to see answer by scott8148(6628)

Question 149662: find the volume of a single sheet of paper..
im confused because the only dimensions i know are 8.5 X 11.
thanks!!!
Click here to see answer by nerdybill(7384)

Question 149652: please help me! i dont know how to do this...
find coordinates of for the centroid whose triangle verticies are (a,p) (b,q) and (c,r). then find the centroid for (-1,5) (-2,8) and (3,3)
Click here to see answer by Fombitz(32388)

Question 149772: c=19 b=x a=3x find the length of the sides a and b on following triangle
Click here to see answer by Earlsdon(6294)

Question 149657: the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments, whose lengths are 8 inches and 18 inches. how long is the altitude???
thank you !
Click here to see answer by scott8148(6628)

Question 149934: 4) Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
Answer:
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Answer: Length ______, Width ______
I don't understand how to do this.
Click here to see answer by nerdybill(7384)

Question 150187: The perimeter of a rectangle yard is 290 ft. If its length is 25 feet greater than its width, what are the dimensions of the yard?
Click here to see answer by checkley77(12844)

Question 150356: find the length of a rectangle with a perimeter of 72 meters if the length is three times the width
Click here to see answer by nerdybill(7384)

Question 150629: A 12 foot ladder is six feet from the wall. How high on the wall does the ladder touch??
Click here to see answer by ankor@dixie-net.com(22740)

Question 150776: Give the 8th term in the sequence.
6 1/2, 6 1/3, 6 1/2.......
A.6 2/3 C. 7
B.6 5/6 D. 7 1/3
Click here to see answer by Fombitz(32388)

Question 152043: A formula for calculating the distance d one can see from an airplane to the horizon on a clear day is d=1.22x^1/2, where x is the altitude of the plane in feet and d is given in miles. How far can one see to the horizon in a plane flying at 28,000 feet?
Click here to see answer by vleith(2983)

Question 152233: the lenghts of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?
Click here to see answer by nerdybill(7384)

Question 152280: My directions on my homework say " Use a ruler to measure the length of each line segment to the nearest millimeter.I have measured it but I do not know how to convert it into millimeters."
Click here to see answer by Alan3354(69443)

Question 152311: 28.) A moving circle is tangent to the x-axis and to a circle of radius 1 with center at (2,-6). Find the equation of the locus of the center of the moving circle.
Ans.

This question came with the answer included above. The teachers at my school only taught us how to solve for the equation of the locus of moving points not moving circles. Not even my classmates can help me with it and I have to solve it...
Click here to see answer by oscargut(2103)

Question 152614: Using the segment addition postulate to solve for the variable. Suppose M is between L and N. Find the lengths of LM, MN, and LN.
LM = 7y + 9
MN = 3y + 4
LN = 143
We saw him write up an example and notes but I have no clue what to do. Thank you
Click here to see answer by jim_thompson5910(35256)

Question 152786: Find the exact value of x
the whole line is 4x^2+3x+2
half the line is 7x-2 and the other half is 3x+7
Click here to see answer by mducky2(62)

Question 153358: how do i use the pythagorean theorem to find the distance between the pair of points?
G(-2,-6) H(6,9)
Click here to see answer by ankor@dixie-net.com(22740)

Question 153414: Sam has 3000 feet of fencting available to enclose a rectangular field
a) Express the area A of the rectangle as a function of x where x is the length of the rectangle.
b) For what value of x is the area largest?
c) What is the maximum area?

Click here to see answer by orca(409)

Question 152310: 26.) The midpoint of the line segment joining a moving point to (6,0) is on the line y=x. Find the equation of its locus.
Ans. x-y+6=0

This is a question that comes with the answer but I don't know how to solve for it. I tried using the midpoint formula but the answer is either x+y-6=0 or x-y-6=0. I don't know how to solve for this kind of problem...
Click here to see answer by Edwin McCravy(20054)

Question 154418: A diagnol walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cost?
Click here to see answer by nerdybill(7384)

Question 154475: you are building a skateboars ramp with a piece of plywood that is 8 feet long. you want the height of the ramp to be 5 feet. to make a strong ramp the base must forma right angle with the back of the ramp. what will be the length of the base rounded to the nearest tenth of a foot?
Click here to see answer by Alan3354(69443)

Question 155114: I have a worksheet called dot to dot distance. Using the given grid and the starting point A(2,9), connect the points A through H in alphabetical order. I know how to put the points on the grid. My problem I am working is...plot point B(5,y) where AB=square root sign with 34 inside and y >9. My computer does not have the square root sign. Thank you for your help and I need to see how you got the answer so I can then do the other 6.
Click here to see answer by nerdybill(7384)

Question 155790: LM = 7y + 9
MN = 3y + 4
LN = 143
Click here to see answer by checkley77(12844)

Question 155787: LM = 7y + 9
MN = 3y + 4
LN = 143
Click here to see answer by checkley77(12844)

Question 155793: Use the Distance Formula to decide whether PQ = QR.
P (4,-4)
Q (1,-6)
R (-1,-3)
Click here to see answer by jim_thompson5910(35256)

Question 156211: How do I do the following problem:
Use the Pythagorean Theorem to find the distance between each pair of points
A(0,0), B(8,6)

Click here to see answer by checkley77(12844)

Question 156369: M is the midpoint of QR. Q has coodinates (-3,5) and M has coordinates (7,-9) find the coordinates of R.
Click here to see answer by Alan3354(69443)

Question 156534: what is the area of a square if a side measures 15 feet
Click here to see answer by SAT Math Tutor(36)

Question 156517: what is the area ofa square if a side measures 15 feet
Click here to see answer by checkley77(12844)

Question 156516: how do i find the perimeter and area of a rectangle in the coordinate plane:
L(0,1)M(3,5)N(5,5)P(5,1)
Click here to see answer by nerdybill(7384)

Question 156516: how do i find the perimeter and area of a rectangle in the coordinate plane:
L(0,1)M(3,5)N(5,5)P(5,1)
Click here to see answer by solver91311(24713)

Question 156614: re can i ask a question please.what is coordinate.and solve some question for me.
question number 1...(-3,-6) 2..(3,-6)
Click here to see answer by stanbon(75887)

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