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

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Question 1188011: This is a Physics problem. Please help. Two 3.0 kg lead balls are placed with their centers 7.25 meters apart. What gravitational force exists between them?
Click here to see answer by MathLover1(20849) About Me 

Question 1188641: Find the equation of the line whose slope is 3/2 and which passes through P, where P divides the line segment joining A(-2,6) and B(3,-4) in the ratio 2:3 internally.
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Question 1188879: https://ibb.co/bz83jGg
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Question 1188919: John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 1), C(3, -1) and D(-1, 2). If he visited all the cities in order and ended up where he started, what is the distance he traveled? Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52775) About Me 
Question 1188919: John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 1), C(3, -1) and D(-1, 2). If he visited all the cities in order and ended up where he started, what is the distance he traveled? Round your answer to the nearest tenth.
Click here to see answer by Alan3354(69443) About Me 

Question 1188878: https://ibb.co/pjCG57t
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1188878: https://ibb.co/pjCG57t
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Question 1189124: The equation of a curve is 9x²+24xy+16y²+2x-164y+69=0.find its equation if are rotated through the angle arctan4/3.
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Question 1189705: A and B are two places on longitude 10W. If their latitudes differ by 63, find the distance of A from B.
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Question 1189704: Two places on the same line of longitude are 2340km apart. What is the difference between their latitudes?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1189703: Find the distance between points X(30N, 40W) and Y(50N, 140E) on the same great circle.
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Question 1189778: A rectangular swimming pool is 11.5 m long and 5 m wide. How many metres of fencing are needed to enclose the pool if you erect the fencing 2m from the edge? Show your calculations:
Click here to see answer by ikleyn(52775) About Me 

Question 1189840: Approximate the distance between $\left(-1,\ -3\right)$ and $\left(1,\ 3\right)$ to the nearest tenth.

Click here to see answer by Alan3354(69443) About Me 

Question 1189951: Hello, these are physics problems. Help please
1. A 0.22 kg red striped pool ball is moving at 3.0 m/s North and it collides with a white cue ball that is 0.25 kg and it is moving at 1.0 m/s South. After the collision, the red striped ball continues at 2.5 m/s North. What is the velocity of the white cue ball?
2. Two skaters are skating towards each other. The 75.0 kg man is moving at 2.0 m/s to the right, and he picks up the 40.0 kg woman skater who is moving at - 1.5 m/s to the left. What speed and direction do they move off together (assuming no friction on the ice)?

Click here to see answer by mananth(16946) About Me 
Question 1189951: Hello, these are physics problems. Help please
1. A 0.22 kg red striped pool ball is moving at 3.0 m/s North and it collides with a white cue ball that is 0.25 kg and it is moving at 1.0 m/s South. After the collision, the red striped ball continues at 2.5 m/s North. What is the velocity of the white cue ball?
2. Two skaters are skating towards each other. The 75.0 kg man is moving at 2.0 m/s to the right, and he picks up the 40.0 kg woman skater who is moving at - 1.5 m/s to the left. What speed and direction do they move off together (assuming no friction on the ice)?

Click here to see answer by ikleyn(52775) About Me 

Question 1190310: Two poles have wires running from the top of each to the base of the base of the other. If the poles are 8 m and 12 m high, at what height do the wires cross?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1190310: Two poles have wires running from the top of each to the base of the base of the other. If the poles are 8 m and 12 m high, at what height do the wires cross?
Click here to see answer by Alan3354(69443) About Me 
Question 1190310: Two poles have wires running from the top of each to the base of the base of the other. If the poles are 8 m and 12 m high, at what height do the wires cross?
Click here to see answer by greenestamps(13198) About Me 

Question 1190352: Points A, B, C, and D are collinear and positioned in that order. Find the length of CD, if CD = 3x+10, AB = 2x+15, AD = 7x+25 and BC = 24. Write your answer in small letter without space. For example x=10.
Click here to see answer by MathLover1(20849) About Me 

Question 1190356: ABC is an equilateral triangle the coordinates of vertices B and C are (a,0) and (-a,0) respectively. Find the coordinates vertex A. Please show the solution. Thanks.
Click here to see answer by Theo(13342) About Me 

Question 1191155: Monica is making a design in art class. She is experimenting with how to
transform line segment AB in her design. If she reflects the line segment across
line l , how will the length and position of segment AB and its image compare?
A. Line segment AB and its image will be the same length and in different
positions.
B. Line segment AB and its image will be different lengths and in different
positions.
C. Line segment AB and its image will be the same length and in the same
position.
D. Line segment AB and its image will be different lengths and in the same
position.

Click here to see answer by greenestamps(13198) About Me 

Question 1191238: Mr. Cooper paints the top of a round picnic table. The radius of the table is 4 feet. The paint he uses comes in a can that covers 18 square feet of surface. How many cans of paint does Mr. Cooper need to purchase to paint one coat on the top of the table? (Use 3 for pi.)
Click here to see answer by josgarithmetic(39616) About Me 

Question 1191915: A plane rises from​ take-off and flies at an angle of 17 degrees with the horizontal runway. When it has gained 800 ​feet, find the distance the plane has flown.

Click here to see answer by ikleyn(52775) About Me 

Question 1191964: Consider a regular pentagon. Find the measures of the following in degrees.
(a)
each interior angle of a regular pentagon
°
(b)
each exterior angle of a regular pentagon
°
Consider extending the sides of the regular pentagon to create a regular pentagram. Find the measures of the following in degrees.
(a)
each acute interior angle of a regular pentagram
°
(b)
each reflex interior angle of a regular pentagram
°

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Question 1191965: The top surface of a picnic table is in the shape of a regular hexagon.
A hexagon appears to have equal length sides. One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1191965: The top surface of a picnic table is in the shape of a regular hexagon.
A hexagon appears to have equal length sides. One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?

Click here to see answer by Alan3354(69443) About Me 
Question 1191965: The top surface of a picnic table is in the shape of a regular hexagon.
A hexagon appears to have equal length sides. One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1191963: Find the measure of each interior angle (in degrees) of a regular polygon of n sides for the following values of n.
(a)
n = 8
°
(b)
n = 9
°

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1191963: Find the measure of each interior angle (in degrees) of a regular polygon of n sides for the following values of n.
(a)
n = 8
°
(b)
n = 9
°

Click here to see answer by Alan3354(69443) About Me 

Question 1191966: For concave pentagon ABCDE, find the measure of the reflex angle at vertex E (in degrees) if
m∠A = m∠D = x°,

m∠B = m∠C = (3x)°,
and the measure of the reflex angle at vertex E is (7x)°.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1193020: Can you explain why a three-legged stool is often more steady than a four-legged one? If you have a four-legged, is it possible that all four legs might touch the floor at the same time? Is this true for a three-legged stool? Relate this to geometric situations involving three points and a plane and four points and a plane.

Click here to see answer by ikleyn(52775) About Me 

Question 1193087: ``1.Suppose you have n points, no three of which are collinear. How many lines contain two of these n points?
2.If no four of the n points are coplanar, how many planes contain three of the n points?
Hint: (for 1 and 2, generalize in a form of a formula)''.

Click here to see answer by ikleyn(52775) About Me 

Question 1193327: A freeway ramp is 10 ft high after 200 ft. How high is the highest point of the ramp if the ramp is 1500 ft in length?

Click here to see answer by Theo(13342) About Me 

Question 1193538: a 13 foot ladder leans against a wall. The foot of a ladder begins to slide away from the wall at the rate of 1 foot per minute. When the foot is 5ft from the wall, at what rate is the top of the ladder is falling?
a.5/12 ft/min.
b.4/3 ft/min.
c.3/4 ft/min.
d.12/5 ft/min.

Click here to see answer by ikleyn(52775) About Me 
Question 1193538: a 13 foot ladder leans against a wall. The foot of a ladder begins to slide away from the wall at the rate of 1 foot per minute. When the foot is 5ft from the wall, at what rate is the top of the ladder is falling?
a.5/12 ft/min.
b.4/3 ft/min.
c.3/4 ft/min.
d.12/5 ft/min.

Click here to see answer by greenestamps(13198) About Me 

Question 1193553: Triangle ABC has vertices A(1,1) B(2.5,3) and C(0,-3) It is dilated by a scale factor of 1\2 about the origin to create triangle A'B'C'.
What is the length, in units, of side B'C' ?

Click here to see answer by ikleyn(52775) About Me 
Question 1193553: Triangle ABC has vertices A(1,1) B(2.5,3) and C(0,-3) It is dilated by a scale factor of 1\2 about the origin to create triangle A'B'C'.
What is the length, in units, of side B'C' ?

Click here to see answer by greenestamps(13198) About Me 

Question 1193543: Suppose that we have two resistors connected in parallel with resistances R1 and R2 measured in ohms (Ω). The total resistance, R, is then given by:
1/R=1/R1+1/R2
Suppose that R1 is increasing at a rate of 0.4Ω/min and R2 is decreasing at a rate of 0.7Ωmin. At what rate is R changing when R1 = 80Ω and R2=105Ω?

Click here to see answer by Alan3354(69443) About Me 

Question 1194325: The circumference and radius of a circle "T" are unknown. Two point A and B lie on circle whose arc length is 200 feet but the length of AB chord is 150 feet.
(A) Find the area of this segment from AB chord to AB curve?
(B) Can we find area of the circle "T" if we know the area of segment from AB chord to AB curve?

Click here to see answer by ikleyn(52775) About Me 

Question 1194686: You are stationed at a port on the ocean. A cruise liner is sailing past your port. When it goes past you, it is traveling at a speed 30 ft/sec and is 2000 feet from shore.
A. How far will the cruise liner be from you 20 seconds from now?
THIS IS MY ATTEMPT:
30 20=600
X= 2000^2+600^2
x=4,000,000 + 360,000 square root symbol
x=4,360,000square root symbol
=2088.06 ft/sec
B.Once the boat is 2500 ft away from the port, it is no, longer your responsibility to track it. Will the boat be 2500 ft away after 2 minutes?
MY ANSWER:
2502.88 YES THE BOAT IS FAR ENOUGH AWAY.
C. A second boat passes by your port, at a distance of 1500 feet from shore. 10 seconds later, the boat is 2000 ft away from you. How fast was the boat going?
THIS DOESN'T MAKE SENSE TO ME.
Could you please check my work, I don't think I completely understand what the info & questions say. I also think I am missing some formulas for rate/time/ distance. But I don't know.
I am stuck. Sorry I couldn't get the equations to copy and paste correctly. Please help, thank you


Click here to see answer by math_tutor2020(3816) About Me 

Question 1195043: Two sides of a triangle field measure 325 meters and 278 meters. If these sides form an angle of 47°40’, what is the length of the fence that will surround the field?
Click here to see answer by ikleyn(52775) About Me 
Question 1195043: Two sides of a triangle field measure 325 meters and 278 meters. If these sides form an angle of 47°40’, what is the length of the fence that will surround the field?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1195043: Two sides of a triangle field measure 325 meters and 278 meters. If these sides form an angle of 47°40’, what is the length of the fence that will surround the field?
Click here to see answer by MathTherapy(10551) About Me 

Question 1195042: A vertical pole on a 15° slope is braced by a wire from the top of the pole to a point 20 ft. uphill from the base. If the pole subtends an angle of 62°30' from this point. Find the height of the pole and length of the wire.

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Question 1195297: y+4=x y^2+17=2x^2

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