Questions on Geometry: Geometric formulas answered by real tutors!

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Question 1078317: The equation of a parabola is given.
y=−1/12x^2−2x−1
What are the coordinates of the focus of the parabola?

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1078496: A square that has a side length of 8x centimeters is divided into y rectangles in equal area. What is the area of each of these rectangles?
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Question 1080183: The segment from (-1,4) to (2,-2) is extended three times its own length. What is the terminal point
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1080148: In the problem, t is a real number and P = (x, y) is the
point on the unit circle that corresponds to t. Find the exact
value of the indicated trigonometric function of t.
(5/8, square root39/8)
Find sin t

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Question 1080753: show that the conjecture is false by a counterexample. If a>b, then a/b>0.
Click here to see answer by ikleyn(52788) About Me 

Question 1080829: The terminal arm of angle θ passes through the point (a.b) in quadrant I. Leave your answers in terms of a and b. Determine the following:
a) sec θ
I got (sqrt a^2+b^2)/(a)
Correct?
b) cot θ
I got a/b
Correct?
c) sin (θ-pi)
Why do you switch the a and b values here, so like it becomes the x value becomes -b and y value becomes a?
Whats the solution then?
d) cos (θ +pi/2)
e) csc (θ-pi/2)
Please answer fast! Thank you very much!

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

Question 1082223: The equation of a parabola is given.
y=1/4x2−3x+18
What are the coordinates of the focus of the parabola?

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Question 1082519: Sn=1550, n=3, r=5 Find a1.
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Question 1082603: http://prntscr.com/fbops8
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Question 1082605: http://prntscr.com/fboq9m
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Question 1082604: http://prntscr.com/fboq2j

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Question 1082606: What is the center of the following graph?
circle through the points (8, negative 1), (2, 5), (negative 4, negative 1) and (2, negative 7)
Picture
http://prntscr.com/fboqm5

Click here to see answer by Boreal(15235) About Me 

Question 1083407: A tank in the shape of a rectangular prism measures 5 dm by 2 dm by 23 dm. The tank is completely filled with 8314.5 L of liquid.

What is the density of the liquid?

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Question 1083407: A tank in the shape of a rectangular prism measures 5 dm by 2 dm by 23 dm. The tank is completely filled with 8314.5 L of liquid.

What is the density of the liquid?

Click here to see answer by ikleyn(52788) About Me 

Question 1083403: A climber is standing at the top of Mount Kazbek, approximately 3.1 mi above sea level. The radius of the Earth is 3959 mi.

What is the climber's distance to the horizon?
Round only your final answer to the nearest tenth. Leave your answer as a decimal.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1083404: A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 5 cm and a height of 44 cm.
How much water spills out of the tank?
Use 3.14 for pi.

Click here to see answer by ikleyn(52788) About Me 

Question 1083406: In 2010, the population of Salt Lake City, Utah, was 186,440 and the population density was 1,678 people per square mile.
What is Salt Lake City's land area in 2010?

Round your answer to the nearest tenth. Leave your answer as a decimal.

Click here to see answer by rfer(16322) About Me 

Question 1083750: What is right-hand side to make the equation an identity
(csc x + cot x)2

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Question 1084293: if the roots of a quadratic equation are -4 and 2 the equation is equivalent to
a.(x+4)(x-2)=0
b.(x-4)(x+2)=0
c.(x+4)(X+2)=o
d.(x+4)(x-2)=0

Click here to see answer by josgarithmetic(39618) About Me 

Question 1084294: The roots of aquatic equation are 4 and -5 which quadratic equation has these roots
a.(x-4)(x+5)=0
b.(x+4)(X-5)=0
c.(x-4)(x-5)=0
d.(x+4)(x+5)=0

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Question 1084292: which equation represents a line that is parallel to the line whose equation is ?
a.1/3x+y=4
b.-1/3x+y=4
c.6x+2y=4
d.-6x+2y=4
the area of rhombus is 100 and the length of its diagonals is 10 what is the length of the other diagonal
a.10
b.20
c.50
d.40

Click here to see answer by Boreal(15235) About Me 

Question 1084326: Which of the following is a true statement
a.5:10=3:9
b.5:10=4:8
c.8:4=5:10
d.5:10=10:15

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Question 1084325: Which ordered pair is a solution to the following equation -4x+2y=26
a.(4,5)
b.(-4,5)
c.(4,-5)
d.(-4,-5)

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Question 1084327: Gina had two-sevenths of all the goals scored by her soccer team .her team scored 28 goals this past season.How many goals did the rest of the team score?
a.24
b.22
c.20
d.8

Click here to see answer by Boreal(15235) About Me 
Question 1084327: Gina had two-sevenths of all the goals scored by her soccer team .her team scored 28 goals this past season.How many goals did the rest of the team score?
a.24
b.22
c.20
d.8

Click here to see answer by MathTherapy(10552) About Me 

Question 1084329: Which equation represents a line that is parallel to the line whose equation is y=3x
a.1/3x+y=4
b.-1/3x+y=4
c.6x+2y=4
d.-6x+2y+4

Click here to see answer by Boreal(15235) About Me 

Question 1084332: which equation represents a line that is parallel to the line whose equation is y=-3x
a.1/3x+Y=4
B.-1/3X+Y=4
C.6X+2Y=4
D.-6X+2Y=4

Click here to see answer by MathLover1(20850) About Me 

Question 1084345: Convert θ = 100°24′ to radians. Leave in exact form.
Select one:
a. 9036/π
b. 251π/225
c. 251π/450
d. 18072/π

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Question 1084346: An employee looks out his office window at a factory across the street. He estimates his office building and the factory building are 60 ft apart, the angle of depression to the base of the factory is 62°, and the angle of elevation to the top of the factory building is 23°.
How tall is the factory across the street?

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Question 1084361: what is the radiant of tan^{-2}(-1)?
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Question 1085467: Find the measure of angle (8x-10)
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Question 1085487: Using illustrations, define circle, hyperbola, ellipses, parabola.
Thank you so much. It would be a very big help.

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Question 1085487: Using illustrations, define circle, hyperbola, ellipses, parabola.
Thank you so much. It would be a very big help.

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Question 1087383: In triangle GHI, we have GH = HI = 25 and GI = 30. What is sin
Click here to see answer by Fombitz(32388) About Me 

Question 1087382: Degrees are not the only units we use to measure angles. We also use radians. Just as there are 360º in a circle, there are 2pi radians in a circle. Compute tan pi/3.
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Question 1087674: Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5).
Show your work

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Question 1087674: Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5).
Show your work

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1089304: An open cone has a slant height of 5 cm and a curved surface area of 251cm square .find the radius of its circular base leaving your answer corrects to 3 significant figures

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Question 1090479: The side of a triangle are in the ratio
5: 6 : 13. If its perimeter is 48 cm,
its sides will be

Click here to see answer by KMST(5328) About Me 
Question 1090479: The side of a triangle are in the ratio
5: 6 : 13. If its perimeter is 48 cm,
its sides will be

Click here to see answer by Fombitz(32388) About Me 

Question 1090800: Can you draw a figure that has two points and is noncollinearx
Click here to see answer by ikleyn(52788) About Me 

Question 1091146: A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
A.) (3, 2)
B.) (-3, 2)
C.) (-3, -2)
Please explain how to get the answer. Thank you.

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

Question 1091728: A transformation T : (x, y) (x + 3, y + 1).
The preimage of the point (4, 3) is..?
A.) (7, 4)
B.) (1, 2)
C.) (-1, -2)
Please explain this to me. Thank you.

Click here to see answer by MathLover1(20850) About Me 

Question 1091733: For the transformation T, write the inverse T-1.
T: (x, y) --> ( 2x, y + 5)
T-1: (x, y)-->
A.) (x - 2, y - 5)
B.) (½x, y - 5)
C.) (2x - 1, y + 4)
Please explain. Thank you.

Click here to see answer by Fombitz(32388) About Me 
Question 1091733: For the transformation T, write the inverse T-1.
T: (x, y) --> ( 2x, y + 5)
T-1: (x, y)-->
A.) (x - 2, y - 5)
B.) (½x, y - 5)
C.) (2x - 1, y + 4)
Please explain. Thank you.

Click here to see answer by Edwin McCravy(20056) About Me