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

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

Question 1118955: The base of a triangular sail is 14 m shorter than its height. The area is 88 m squared . Find the base and height of the sail
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Question 1119600: Find the trisection points of the line segment joining (-6,2) and (3,8)
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Question 1119600: Find the trisection points of the line segment joining (-6,2) and (3,8)
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Question 1119642: If P(2,3) and Q(2,5) are points on a graph, calculate the length PQ.
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Question 1119838: What is the kinetic energy (in Joules) of a 60.0 g tennis ball traveling toward a tennis racket at 20.0 m/s?
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Question 1119885: Use the equation for kinetic energy to show that velocity is more effective than mass in bringing a speeding car to a stop. (Hint: There is no need to calculate anything. Use the relationships between the physical quantities in the equation for your explanation.)
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Question 1120010: what is the ratio of circumference of a circle to its radius?

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Question 1120010: what is the ratio of circumference of a circle to its radius?

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Question 1120133: Airman Martin stands beside a C-130 on the runway at an Air Force base. Airman Martin is 6 feet 3 inches tall and his shadow is 12 feet 1 inch long. The shadow of the plane is 13 feet long. What is the height of the plane?
A professional basketball court is a rectangle measuring 90 feet by 50 feet. What the dimensions of a scale model if 0.5 inches = 5 feet?
Please show solution.
Thank you very much
Click here to see answer by Boreal(15235)

Question 1120429: Hi, a question from my work is a slight variation of the typical distance problem. It goes as follows
"A cat starts chasing a mouse from 10 metres away. The cat runs at a rate of 14 metres per second, and the mouse scampers at a rate of 4 metres per second. How many seconds will it take the cat to catch the mouse?"
I am used to questions that give you the delay between the two objects. However, this question does not provide that information, and I am confused as to how to find the time.
Thanks in advance
Click here to see answer by Boreal(15235)

Question 1120479: In physics, one learns that the height of an object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula
h(t)=−16t^2+v0t+h0 feet
where t is the amount of time in seconds after the ball was thrown. Also, the velocity of the object is given by
v(t)=−32t+v0. feet per second
When one uses the metric system, the equations become
h(t)=−4.9t^2+v0t+h0 meters
and
v(t)=−9.8t+v0 meters per second.
An object is projected upward from a height of 44 feet at a velocity of 44 feet per second.
After how many seconds does the object reach its maximum height?
Find the maximum height of the object.
feet
Find the velocity of the object when it hits the ground.
feet per second
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Question 1120567: Find the value of k if the lines 2x+6y+3=0 and 3x-4y+k=0 have the same x-intercept.
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Question 1120681: Hello, this is my second time submitting this question. The answer for the first submission is not one of the choices for the question. I'm resubmitting it again. Please help. Thank you
Airman Martin stands beside a C-130 on the runway at an Air Force base. Airman Martin is 6 feet 3 inches tall and his shadow is 2 feet 1 inch long. The shadow of the plane is 13 feet long. What is the height of the plane?
Click here to see answer by josgarithmetic(39616)

Question 1120692: Will someone please help me with this problem. I've submitted it before, but the answer is not one of the choices.
Airman Martin stands beside a C-130 on the runway at an Air Force base. Airman Martin is 6 feet 3 inches tall and his shadow is 2 feet 1 inch long. The shadow of the plane is 13 feet long. What is the height of the plane?

Thank you

Click here to see answer by solver91311(24713)

Question 1120739: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels
66

/kmh
slower than the other. If the two planes are
3768km
apart after
2
hours, what is the rate of each plane?

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Question 1120892: A vertical line divides a triangle with vertices A(0,0), B(9,0) and C(8,4) into two regions of equal area. Find the equation of the line.
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Question 1120904: Triangle ABC is right-angled at a. P is the midpoint of AB and Q is the midpoint of BC. Choose suitable coordinates in order to prove that
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Question 1120901: Two train stations, A and B, are 300km apart. Two trains leave A and B simultaneously and proceed at constant speeds to the other station. The train from A reaches station B nine hours after the trains have met, and the train from B reaches the station A four hours after the trains have met. Find the speed of each train.
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Question 1121011: A person spends $160 each month on gas. His current car is able to travel 30 miles per gallon of gas. He decides to switch his current car for a new car that is able to travel 40 miles per gallon of gas. Assuming he price of gas stays the same, how much will he spend on gas each month with the new car?
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Question 1121094: Maker and lades share their collection of 5000 stickers in the ratio of 5:3.maker then shares with two frieds at the ratio of 3:1:1.keeping most to himself how many stickers do each of his friends recieve?

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Question 1121099: The driver-side wiper blade is 26 inches long and the passenger-side wiper blade is 16 inches long.
If the surface area of the windshield is 1250 square inches and both blades rotate at an angle of 100�, what percentage of the entire windshield is cleaned by the wiper blades?
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Question 1121093: jaker and lades share their collection of 5000 stickers in the ratio of 5:3.jaker then shares with two friends in the ratio of 3:1:1 keeping most to himself.how many stickers do each of his friends recieve

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Question 1121101: On a 100 cm ruler, lines are drawn at 10, X, and 98 cm. The distance between the lines at X and 98 cm is three times the distance between the lines at X and 10 cm. What is the value of X?
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Question 1121126:
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Question 1121126:
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Question 1121323: A rectangular container is 2/5 full of water. If 3 and 1/2 L of water are poured into the container, it will be 3/4 full. What is the capacity of the container?

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Question 1121389: Show that A(-2,4),B(2,0),C(2,8) and D(6,4) are the vertices of a square
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Question 1121389: Show that A(-2,4),B(2,0),C(2,8) and D(6,4) are the vertices of a square
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Question 1121388: Show that A(1,1),B(4,1),C(3,-2) and D(0,-2) are the vertices of a parallelogram
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Question 1121388: Show that A(1,1),B(4,1),C(3,-2) and D(0,-2) are the vertices of a parallelogram
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Question 1121387: Show that A(3,5),B(-3,-2), and C(3,-8) are the vertices of an isosceles triangle
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Question 1121387: Show that A(3,5),B(-3,-2), and C(3,-8) are the vertices of an isosceles triangle
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Question 1121425: The vertices of a triangle are A(2,4), B(-4,-6), C(6,0), write down the coordinates of P, the midpoint of BC. Find also the coordinates of the points which divide AP internally and externally in the ratio 2:1
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Question 1121501: M is the midpoint of line segment AB. If AM=2x^2+16, AB=6x^2,find AB.
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Question 1121605: Find the point on the y axis that is equidistant from (5,1) and (-3,-1).
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Question 1121605: Find the point on the y axis that is equidistant from (5,1) and (-3,-1).
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Question 1121653: Assume M is the midpoint of segment UV, X is the midpoint of segment UM, and Y is the midpoint of segment XV
If MY = 5, find XY and UV
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Question 1122298: Find the radii and coordinates of the center of the circles: (i) x^2 + y^2 - 10 = 0 (ii) 36x^2 + 36y^2 - 24x - 36y - 23 = o
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