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

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Question 68027: CATS is a square. CT = 6 times the square root of 2.
if CT is the diagnal of the square.
what is the distance of CA (any one side of the square).
My son has this problem and we've checked his Geometry book and see no samples that can assist us. Thank you.
Click here to see answer by Nate(3500) About Me 
Question 69697: What is length of the line segment connecting (2, -2) and (-3, -1)?

Click here to see answer by funmath(2933) About Me 
Question 70327: to land, an airplane will aproach an airport at a 3 degree angle of depression. If the plane is flying at 30,000ft. fint the ground distance from the airport to the point directly below the plane when the pilot begins descending. give your answer to the nearest 10,000 ft.

what is the answer?
Click here to see answer by stanbon(75887) About Me 
Question 71410: Someone please help
Find the midway point of the line segment from A(-2,9) to B(4,5)
possible answers:
c(1,7)
D(3,7)
P(4,9)
Q(5,9)
please show me how to do this also.
Thank you
Click here to see answer by bucky(2189) About Me 
Question 71414: find the distance d(A,B) between the points A(-1,0) and B(4,3).
Thanks
Click here to see answer by bucky(2189) About Me 
Question 71534: the length of a rectangular playing field is 5ft less than twice its width. If the perimeter of the playing field is 230ft, find the length and width on the field.
Click here to see answer by ptaylor(2198) About Me 
Question 71843: a fenced yard with a lenght of 110 feet and width of 65 feet.
Thanks Tutor.
Click here to see answer by tutorcecilia(2152) About Me 
Question 72156: find the midpoint of the segment with the endpoints (square root of 96 and square root of 3) and ( square root of 6 and the square root of 12)
Click here to see answer by checkley75(3666) About Me 
Question 72637: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.
Click here to see answer by checkley75(3666) About Me 
Question 72651: Please help to solve the following :
Place the point (-3,-2) on a coordinate plane and label it point U.
Then place the point (4,2) on the graph and label it point S
And place the point (-5,3) on the graph and label it point Q
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 72962: Jill is 8 kilometers away from Joe. Both began to walk toward each other at the same time, Jill walks at 1. kilometers and hour they meet in two hours, how fast is Joe walking
Click here to see answer by ptaylor(2198) About Me 
Question 73072: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 73463: Pleae help to :
Name the slope and y-intercept of the graph of the equation :
2x + y = 9
Click here to see answer by Cintchr(481) About Me 
Question 73462: please help :
Given the following points, find the slope of the line through these points.
(-3,0) and (2,-1)
Click here to see answer by checkley75(3666) About Me 
Question 73882: can someone please help me i have no idea how to solve this...thank very much...if you could help me...sect. 10.3 # 48
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Click here to see answer by nilan(17) About Me 
Question 73881: Please help me...step by step ....
sect. 9.6#48
Use the Pythagorean theorem to determine the length of each line segment. Where appropriate,round to the nearest hundredth.
the points in the line are: (1,-1) and (3,2)
Problem # 20 section 9.6
Directions: Find the distance between each pair of points.
(-3,0) and (4,0)
Click here to see answer by stanbon(75887) About Me 
Question 74310: Please can you help solve this probelm? Thanks...
p(-3,4) and q(9,-4) are two points. Find the coordinates of the point k,m and n on [pq] such that /pk/=/km/=/mn/=/nq/.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 75111: Find the distance between the points A(4, -3) and B(-4, 3). I came up with:
d=(4-(-4))^2 + (-3-3)^2=10
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)< d(B, C)?

Click here to see answer by scott8148(6628) About Me 
Question 76800: Can someone please help me with this question or a similar one Please?
A gun fires a bullet almost straight up from the edge of a 150-foot cliff. If the bullet leaves the gun with a speed of 394 feet per second, its height at time t is given by h(t)=-16t^2+394t+150, measured from the ground below the cliff. When will the bullet land on the ground below the cliff? (Hint: What is its height when it lands? Remember that we are measuring from the ground below, not from the cliff.)
Thank You,
Sabrina
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 76998: Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 76997: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 76996: The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.
Click here to see answer by checkley75(3666) About Me 
Question 77236: The base of an isosceles triangle is 11 in. less than the length of the equal sides. If the perimeter of the triangle is 37 in., find the length of each of the sides.
Click here to see answer by rajagopalan(174) About Me 
Question 77243: Find the length of each side of the rectangle so that it has the given perimeter.

2x - 5
x
Perimeter = 50 in.


Click here to see answer by checkley75(3666) About Me 
Question 77688: Find the distance between each pair of points.
A(4,-3) and B(-4,3)
Click here to see answer by jim_thompson5910(35256) About Me 
Question 77686: The endpoints of the diameter of a circle have coordinates R(-8,2) and S(10,-4). Find the coordinates of the center of the circle.
Click here to see answer by funmath(2933) About Me 
Question 77689: find the distance between each pair of points.
Points L(-2,3),M(3,-2), and N(6,1) form a triangle. Show whether triangle LMN is a right triangle.
Click here to see answer by funmath(2933) About Me 
Question 77743: the segment AC has a midpoint B. if A=(9,6) and B=(3,4), what is point C?
Click here to see answer by scott8148(6628) About Me 
Question 77953: Points R, S, and T are collinear, with point S between points R and T. If RT = 30, and ST = 2x + 4, what is the possible range of values for x?
Click here to see answer by scott8148(6628) About Me 
Question 78284: Find the coordinates of the midpoint of the segment whose endpoints are (9,3) and (-1,-9.)
Click here to see answer by checkley75(3666) About Me 
Question 78400: Find the distance between (-9,3) and (-1,-5).
Click here to see answer by dolly(163) About Me 
Question 78403: Find the length of the median of a trapezoid if the length of the shorter base is 16 cm and the length of the longer base is 24 cm.
Click here to see answer by dolly(163) About Me 
Question 78276: Points A,D,and E are collinear. If AD = 27, DE = 35, and AE = 62, which of the three points is between the other two?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 78570: Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. How do I find the slope of his descent to the nearest hundredth?
Click here to see answer by checkley75(3666) About Me 
Question 78700: I need help with this problem...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 checkley75(3666) About Me 
Question 79053: I need help please. I'm to find the distance between each pair of points and approximate the distance to two decimal places. (1.7,-3.6) and (-8.6,5.7)
Click here to see answer by funmath(2933) About Me 
Question 79843: A scale model of the statue of liberty is 36.8 cm tall. If the scale used was 1 cm = 1.25 meters, find the actual height of the Statue of liberty to the nearest meter.
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Question 79841: Twenty-five feet of copper tubing weights 14 pounds. How much will 140 feet of the same tubing weigh?
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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) About Me 
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(75887) About Me 
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(20054) About Me 
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) About Me 
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) About Me