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

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

Question 196857: A 10-foot board is to be cut into 2 pieces whose lengths are in the ratio 4:1. Find the number of feet in the length of the shorter piece.
Click here to see answer by stanbon(57347)

Question 196849: Find the length of the hypotenuse of a right triangle whose legs have lengths 6 and 8.
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Question 196848: If the perimeter of a square is 36, find the length of a side of the square.
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Question 196888: Find the value of K so that the given points are 3 square root 5 units apart.
(-8,-2),(-5,k)
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Question 198095: Can you help me please?The problem is :You and a friend go hiking. You hike 3 miles north and 2 miles west.Starting from the same point, your friend hikes 4 miles east and 1 mile south.At the end of the hike how far apart are you and your friend?Hint:Draw a diagram on a grid.And then if you and your friend want to meet for lunch, where could you meet so that both of you hike the same distance?How far do you have to hike?Thank you so much.
Click here to see answer by solver91311(16885)

Question 198010: My problem is regarding the distance and the midpoint which I do not know if Geometry or Algebra.The problem says, You and a friend go hiking. You hike 3 miles north and 2 miles west. Starting from the same point, your friend hikes 4 miles east and 1 mile south.At the end of the hike how far apart are you and your friend?If you and your friend want to meet for lunch, where could you meet so that both of you hike the same distance?How far do you have to hike?I will really appreciate if you can help me with these problem. Many thanks.
Click here to see answer by ankor@dixie-net.com(15652)

Question 198171: Hello I'm having trouble with this problem, any help would be appreciated.
Find the length of the hypotenuse of a right triangle, in which the length of one side and one angle are given.
Length of Leg opposite = 10
One angle of the right triangle = 25*
What's the length of the leg adjacent?

Click here to see answer by Alan3354(30993)

Question 198306: Can somebody help me please? The problem states that a company had sales of $500,000 in 1996 and sales of $720,000 in 1998. Use the midpoint formula to find the company's sales in 1997. I will appreciate if you can help me.
Click here to see answer by jim_thompson5910(28595)

Question 198664: the vertices of the base of an isosceles triangle are (1,2) & (4,-1). find the ordinate of the third vertex if its abcissa is 6
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Question 198763: a box is 11 ft. wide, 20 ft. long, and 7 ft deep. what is the volume?
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Question 198760: please help me solve this. michael's has a garden which is in the shape of a square. if each side of the garden is 13ft. then what is the perimeter of the garden?
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Question 198823: If a,b > 0 and the triangle in the first quadrant bounded by the coordinate axes and the graph of ax + by = 6 has area 6, then find ab.
your help is appreciated. Thanks
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Question 199090: Find the area of the figure shown below. All dimensions given are in fact.See picture in textbook on pg 287.
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Question 199089: The length of a rectangle is 2 ft more than twice the width. The area of the rectangle is 84 ft^2. Find the length and width of the rectangle.
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Question 199348: A cow is tied to the long side of a barn 10 feet from the corner. The rope being used to tie the cow to the barn is 21 feet long. The barn measures 11 feet wide and 28 feet long, what is the total area of the space in which the cow can graze?
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Question 199499: A group of people at an air show look up at a 52 degree of elevation to see a plane flying over center field. If regulations say that a plane can not fly lower than 1500 ft during an air show, what is the minimum distance the observers are from center field?
Click here to see answer by vleith(2825)

Question 199471: Find the perimeter and area of a right triangle if the shortest side is 7 cm and the longest side is 25 cm.
Click here to see answer by edjones(7569)

Question 199961: Determine if the lines 9x - 2y = 16 and 2x - 9y = -18 are parallel, perpendicular, or neither
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Question 200421: A 12-foot board is cut into two pieces. Twice the length of the shorter piece is 3 ft. less than the length of the longer piece. Find the length of each piece.
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Question 200919: Find the center of the ceircle with equation (x-3)+(y+4)=25.

Click here to see answer by Alan3354(30993)

Question 200923: 7to9 fibd the slope of the line throught the points named. If the slope is not defined, write "not defined." show all your work using the following formula: M=y2-y1 dived by x2-x1.
7.(6,4) and (3,-2)
8.(3,5)and (1,5)
9.(3,-6)and (1,5)
Click here to see answer by rfer(12660)

Question 200922: given points C (4,3) and D (2,-5) find the slope of every parallel to CD. Please show all your work for full credit.
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Question 200920: Given points A (-5,8) and B (3,4)sketch vector AB on the graph provided
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Question 200920: Given points A (-5,8) and B (3,4)sketch vector AB on the graph provided
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Question 201012: write an equation of the circle with center (2,3) and radius 4.
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Question 201015: find the coordinates of the midpoint of the segment that joins points (5,2)and (-3,8). please show all your work for full credit.
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Question 201015: find the coordinates of the midpoint of the segment that joins points (5,2)and (-3,8). please show all your work for full credit.
Click here to see answer by RAY100(1637)

Question 201010: Find the radius of the circle in problem 3. question 3 is find the center of the circle with equation (x-3)2 + (y + 4)2
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Question 201011: Sketch the graph of the circle in problem 3 of the graph provided. problem 3 is find the center of the circle with equation (x-3)2 + (y + 4)2
Click here to see answer by RAY100(1637)

Question 201481: A ladder is resting against the wall. The disatnce between the wall and the base of the ladder is 12 feet. What is the length of the ladder if the length is 6 feeet more than than the distance from the ground to the top of the ladder on the wall?
Click here to see answer by checkley77(12569)

Question 202266: the perimeter of a rectangular garden is 84 feet. The lenght of the garden is twice the width. What is the width of the garden?
Click here to see answer by Theo(3464)

Question 202400: Find the radius of the circle in problem 3. problem 3 is find the center of the circle with equation (x-3)2 +(y+4)2=25.
Click here to see answer by Earlsdon(6287)

Question 202409: M (3,4) is midpoint of JK, where J has coordinates (1,2). Find the coordinates of K.
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Question 202410: what is the slope of the line y=3/4x-1?
What is y-intercept of the line 2x+3y=6?
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Question 202410: what is the slope of the line y=3/4x-1?
What is y-intercept of the line 2x+3y=6?
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Question 202525: what is the point of intersection of the two lines in problems 17 and 18?
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Question 202528: find vector AB in problem 12 as an ordred pair. problem 12 Given points A (-5,8) and B (3,4)
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Question 202526: find the magnitude of vector AB in problem 12. leave answer in simplest radical form. problem point A (-5,8) and B (3,4)
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Question 202876: Hi I need help with a length question in geometry please.
On the blueprint of a house, 28 millimeters represents 5 meters. The length of the living room is 49 millimeters on the blueprint. What is the actual length of the living room?
I haven't had a question like this before, so I don't know how 28mm represents 5m? confused.

Click here to see answer by stanbon(57347)

Question 203426: A wooden board is placed so that it leans against a loading dock to provide a ramp. The board is supported by a metal beam perpendicular to the ramp and placed on a 1 ft. tall support. The bottom of the support is 8 feet from the point where the ramp meets the ground. The slope of the ramp is 2/5 (this means that for every 2 feet it goes up, it goes 5 to the side). Find the length of the beam to the nearest hundredth of a foot. Note that the 1 ft. support is vertical, but the metal beam is not.
Remember a slope of 2/5 means that everytime you go horizontal 5 units, you go vertical 2 units. (So at 10 units, it should be vertical 4 units, and at 15 it should be vertical 6 units, etc.) Also remember that perpendicular lines have an opposite slope...so if a line has a slope of 1/3, then its perpendicular line will have a slope of -3/1.
Find the distances and plot the points, so you can use the distance formula on the points on either side of the metal beam to find its length! Look for any possible way to find the information you need!
Do the problem step by step, showing your work and explaining what you did to find the answer (the drawings here will help, but make your own--you do not need to submit your drawing, you only need to use it for your own reference). On three of the steps, "prove" what you're doing by stating the theorem or definition you're working with. (You must have three separate proofs--using the distance formula three times doesn't count!)

Click here to see answer by psbhowmick(529)

Question 203722: A right triangle has sides whose lengths in feet are consecutive even integers. determine the length of each side?
Click here to see answer by nerdybill(6958)

Question 203738: wall-to-wall carpeting is installed in a room that is 10ft long and 12ft wide. The edges of the carpet are nailed to the floor. How many feet of carpet edge must be nailed down?
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Question 203723: what is the length of a triangle with 3 sides of length of 4 cm.
Click here to see answer by Alan3354(30993)

Question 203893: I am having difficlty with 2 problems. Thank You for the help!

Question 1: A radio station is going to construct a 12- foot tower for a new antenna on top of a tall building. The tower will be supported by three cables, each attached to the top of the tower and to points on the roof of the building which are 5 feet from the base of the tower. What is the total length of these three cables?

Question 2: You need to fill a pool with water. The dimensions are 15 feet by 30 feet aand a consistent 5 feet deep. (15 feet by 30 feet by 5 feet). 1 cubic foot equals 7.48 gallons of water. How many gallons will it take to fill the pool?

Thank You Again......I am stuck on these 2 problems.
Click here to see answer by rfer(12660)

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