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

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Question 1062974: Consider the following triangles, △ABC and △DFE.
https://cds.flipswitch.com/tools/asset/media/575413
If BC=2.24, AC=1, m∠C=116°, EF=6.72, ED=3, DF=8.49, and m∠E=116°, what is the measure of AB¯?
AB= __________ units

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Question 1062979: Aditya wants to know the angle of elevation when he looks up at a palm tree. He walks exactly 32 feet from the base of the palm tree and looks up. The top of the palm tree is 23.25 feet above his eye level.
What is the angle of elevation from Aditya's eye level to the top of the palm tree?
The angle of elevation is approximately __________°.

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Question 1063067: What is the coordinate of the midpoint of
UV ?
-65
-60
-55
-50
-45
-40
U
V

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Question 1063096: An athlete stands on top of a diving platform preparing to take a running start. She needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontally) from the end of the diving platform. The angle of depression from the athlete's feet at the end of the diving platform to the spot on the water where she wishes to land is 68.5°.
How tall is the diving platform that the diver is standing on?
The diving platform is approximately __________ feet high.

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Question 1063147: If p is less than q which of the following number is greater than p and less than q?
a.(p+q)/2
b.(pq)/2
c.q^2-p^2
d.pq

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Question 1062976: The Great Pyramid of Giza has a length and width of 230.4 meters, and it has a height of 138.8 meters. A full-scale model of the pyramid will be built, and materials for the model will be delivered in trucks that measure 13 meters by 8 meters by 40 meters.
How many truckloads will be needed to deliver all of the materials for the model?
At least ___________ truckloads will be needed to deliver all of the materials.

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

Question 1063585: Given the equation x+4y^2 =16
a) find the intercepts
B)Is the graph symmetric with the x or y axis or both. What are the features that determine the symmetries.
C) Graph the Equation. Find three additional points besides the intercepts.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1063585: Given the equation x+4y^2 =16
a) find the intercepts
B)Is the graph symmetric with the x or y axis or both. What are the features that determine the symmetries.
C) Graph the Equation. Find three additional points besides the intercepts.

Click here to see answer by stanbon(75887) About Me 

Question 1063647: Another problem that I don't know where to start:
Given the points P1 (-4,-1) and P2 (8,3). Find the coordinates of the point R(x,y) on P1P2 (this has a line over it and the 1 and 2 are subscript) so that the ratio P1R : RP2 = 3:1 (1 and 2 are subscript).

Click here to see answer by Fombitz(32388) About Me 
Question 1063647: Another problem that I don't know where to start:
Given the points P1 (-4,-1) and P2 (8,3). Find the coordinates of the point R(x,y) on P1P2 (this has a line over it and the 1 and 2 are subscript) so that the ratio P1R : RP2 = 3:1 (1 and 2 are subscript).

Click here to see answer by KMST(5328) About Me 

Question 1063646: Here's another problem I have no clue how to do.
The point P (3,2) is on line L. The sum of the x and y intercepts of line L is 12. Find all possible equations for line L in standard form.

Click here to see answer by Fombitz(32388) About Me 
Question 1063646: Here's another problem I have no clue how to do.
The point P (3,2) is on line L. The sum of the x and y intercepts of line L is 12. Find all possible equations for line L in standard form.

Click here to see answer by rothauserc(4718) About Me 

Question 1063645: Here's a problem that I have no idea where to start or how to continue.
Given the three concurrent lines, L1,L2,L3, whose equations are as follows, find the value(s) of K.
L1: 3x-2y-12=0
L2: 4x+3y+1=0
L3: 5x-4ky+3k=0

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Question 1063729: Which point lies on the perpendicular bisector of the segment with endpoints 
M(7, 5)
N(−1, 5)

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Question 14189: What is 4x+3=15-2x? and i need an explanation on how to do it.
Click here to see answer by smartiekitty(3) About Me 
Question 14189: What is 4x+3=15-2x? and i need an explanation on how to do it.
Click here to see answer by Alan3354(69443) About Me 
Question 14189: What is 4x+3=15-2x? and i need an explanation on how to do it.
Click here to see answer by ikleyn(52775) About Me 

Question 1064783: find the point which is 7/10 of the way from the point (4,5) to the point (-6,10).
Click here to see answer by josgarithmetic(39616) About Me 

Question 1064859: the length of the shadow cast by an object varies directly with the object height.At a certain time of day a 6 ft tall person cast a 5 ft shadow. How long is the shadow cast by a 72 ft tree at the same time of day?
Click here to see answer by Boreal(15235) About Me 

Question 1065029: Considering x-axis from 0 to 320 says 0,1,2,3 and up to 320. I am selecting two point in total of 320, form 40 and end at 300. i want to calculate the center/midpoint distance between 40 and 300?
Is there any formula to calculate distance between two point with respect to total distance?
Could any one help me to solve this action.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1065399: What are the coordinates of the midpoint between A(−3, −5) and B(2, 7)?
Click here to see answer by Alan3354(69443) About Me 

Question 1065664: this conical glass holds 150ml. its top radius is 4 cm find its depth
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Question 1065731: The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. The perimeter of the triangle is 115 cm. What are the length of the sides of the triangle in cm?
Click here to see answer by Alan3354(69443) About Me 

Question 1065954: If I have a right triangle has a hypotenuse of 16 and the bottom length is y and the other length is x, what is x and y?

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Question 1066595: the area of a triangle is 8.25 square centimeters. if the base of the triangle is 3 centimeters, what is the height?

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Question 1066796: A tin which is 12cm long,9 cm wide and 4cm deep holds 120 g of tea. If 1 kg of the same tea is packed into a tin which has a 12 cm square base, how tall will the tin have to be?
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Question 1067050: Distance between A(0,3) and B(0,12)

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Question 1067093: A thin rod 9m 6cm long is
cut into two so that one piece is 96cm longer than the other. What is the length of the longer piece

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Question 1067216: what comes next ?
-4, 20, -100

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Question 1067344: Find the distance from point A to the given line
A(15,-21), 5x+2y=4
And if you can could you please show me how you solved it

Click here to see answer by josgarithmetic(39616) About Me 

Question 1067342: What is the distance from point A to the given line
A(-1,7), y=3x
If you don't mind, could you show me how you got the answer

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Question 1067797: On a coordinate grid that is labeled in miles, the jets are located at (-20, 30) and (-20, -50). How far apart are the two jets?

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Question 1067878: Find the equation of a circle that has radius length {sqrt(30)} and is tangent to the line 3x+y-5=0 at the point (-1,8).
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1067878: Find the equation of a circle that has radius length {sqrt(30)} and is tangent to the line 3x+y-5=0 at the point (-1,8).
Click here to see answer by ikleyn(52775) About Me 

Question 1067903: The ‘Weather forecast’ website says there
is a 0.45 chance that it will rain tomorrow.
The ‘Climate control’ website says that
the chance of rain is
14/30
. Which website
gives the least chance that it will rain?

Click here to see answer by estron7(44) About Me 
Question 1067903: The ‘Weather forecast’ website says there
is a 0.45 chance that it will rain tomorrow.
The ‘Climate control’ website says that
the chance of rain is
14/30
. Which website
gives the least chance that it will rain?

Click here to see answer by zoeyl4d2(17) About Me 

Question 1067904: A road is to be constructed with 15 1/2
m3 of crushed rock. If a small truck can carry 2 1/3
m3 of crushed rock, how many truckloads will be
needed?

Click here to see answer by ikleyn(52775) About Me 
Question 1067904: A road is to be constructed with 15 1/2
m3 of crushed rock. If a small truck can carry 2 1/3
m3 of crushed rock, how many truckloads will be
needed?

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

Question 1068206: Deflection of a Beam. A 28-ft aluminum beam is tested between two hydraulic rams. If the distance between the rams is decreased by 0.25 in, determine the bulge in the middle of the beam.
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Question 1068409: what is the equation of a circle with center (2 -5) and radius 4
Click here to see answer by josgarithmetic(39616) About Me 

Question 1068637: How would I write the equation of a circle with the center point (-1, 0) and point (3,3
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Question 1068634: For the point P(9,12) and Q (14,17)​, find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ. What is the​ distance?
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Question 1068636: Enter the correct answer that completes the sentence below.
The distance from the origin to the point ​(−15,20​)is.

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Question 1068636: Enter the correct answer that completes the sentence below.
The distance from the origin to the point ​(−15,20​)is.

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Question 1068639: Enter the correct answer that completes the sentence below.
The distance from the origin to the point ​(−15,20​) is.

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