Questions on Geometry: Geometric formulas answered by real tutors!

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Question 466319: Hi, If someone could please help me I would appreciate it.I have never done geometry before and I am a little lost any and all help is appreciated tremendously. Thank you :)
Cost of Laminate Flooring The cost of Pergo Select Helsinki Birch laminate flooring is $5.89 per square foot if Nancy installs the flooring herself or $8.89 per square foot if she has the flooring installed by the flooring company. Determine the cost for the flooring in the living/dining room if
a)Nancy installs it herself.
b)Nancy has it installed by the flooring company.

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Question 466506: What must be true about the slopes of two perpendicular lines, neither of which vertical?
a) The Slopes Are Equal
b) The Slopes Have Product 1
c) The Slopes Have Product -1
d) One Of The Slopes Must Be 0

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Question 466999: Hi I was hoping someone could help me with this problem! Thank you!! :)
Express in set-builder notation.
D = {5, 10, 15, 20,... }

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Question 467000: Hi I wanted to know if someone could please help me! Thank you!! :)
Determine the following.
A′ ∪ (A ∩ B)

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Question 467208: Classify the conic section and write its equation in standard form.
X^(2)+9y^(2)-8x-90y+232=0
What type of conic section
Equation in standard form

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Question 467207: Choose all ordered pairs that are solutions of the system
X^(2)-x+y^(2)=21
X+3y=2

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Question 467206: Use the discriminant to classify the conic section
x^(2)+8x+2y+24=0
What is the value of the discriminant
What type of conic section

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Question 467205: complete the square to write the equation of the sphere in standard form x^(2)+y^(2)+z^(2)+8x-2y+10z
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Question 467387: R,S, and T are the vertices of one triangle. E, F, And D are the vertices of another triangle. Measurement Of angle R = 60, Measurement of angle S = 80, Measurement of angle F = 60, Measurement of angle D = 40, and EF = 4. Are the triangles congruent? if yes, explain and tell which statement is congruent to RT
a) yes, by ASA; FD
b) yes, by ASA; ED
c) yes, by SAS; ED
d) No, the two triangles are not congruent

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Question 467387: R,S, and T are the vertices of one triangle. E, F, And D are the vertices of another triangle. Measurement Of angle R = 60, Measurement of angle S = 80, Measurement of angle F = 60, Measurement of angle D = 40, and EF = 4. Are the triangles congruent? if yes, explain and tell which statement is congruent to RT
a) yes, by ASA; FD
b) yes, by ASA; ED
c) yes, by SAS; ED
d) No, the two triangles are not congruent

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

Question 467675: Please Help Me (I could not copy and paste the picture):
The diagram is a picture of a square. Within the square are smaller triangles, squares, and a parallelogram. The larger square has a diagonal line. The top left hand corner of the square is a triangle. Beneath that is another triangle, square, triangle, parallelogram. The bottom half of the larger square is divided into two triangles. One triangle is shaded, above that is the smaller triangle, which is also shaded.
Find the area of the shaded region in the figure. Round results to the nearest unit. Use = 3.14.
The hypotenuse of the smaller triangular portion of the shaded region has length The sides of the outer square have length

A. 123 ft2
B. 61 ft2
C. 49 ft2
D. Not enough data

The answer is B. I have tried to figuare this question out but keep coming up with a different answer everytime. Please Help!


Click here to see answer by ccs2011(207) About Me 

Question 467709: Sorry I left off measures on original question.
Please Help Me (I could not copy and paste the picture):
The diagram is a picture of a square. Within the square are smaller triangles, squares, and a parallelogram. The larger square has a diagonal line. The top left hand corner of the square is a triangle. Beneath that is another triangle, square, triangle, parallelogram. The bottom half of the larger square is divided into two triangles. One triangle is shaded, above that is the smaller triangle, which is also shaded.
Find the area of the shaded region in the figure. Round results to the nearest unit. Use = 3.14.
The hypotenuse of the smaller triangular portion of the shaded region has length 7ft. The sides of the outer square have length 14ft.
A. 123 ft2
B. 61 ft2
C. 49 ft2
D. Not enough data

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Question 468008: The area A of a rhombus is one-half the product of the diagonals p and q. What is the formula?
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Question 468193: Lost and confused: Please help me see where I messed up!
Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 48in and a base of 26in. If the glitter costs $1.00 per square ft, how much will it cost to cover the felt?
A. $34.67
B. $1248
C. $104.00
D. $8.67
The correct answer is D. I chose B. I used the formula: A=bh. I do not see how they got $8.67????

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Question 468214: The years 1984, 1988, 1992, 1996, and 2000 are consecutive leap years. Make a conjecture about leap years

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Question 468367: Hi I was hoping someone could Please help me with this problem! Thank you so much!! :)

Movies A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type of movies customers liked. The following information was determined.
196 liked dramas.153 liked comedies.
88 liked science fiction.
59 liked dramas and comedies.
37 liked dramas and science fiction.
32 liked comedies and science fiction.
21 liked all three types of movies.
Of the customers surveyed, how many liked
a)none of these types of movies?
b)only dramas?
c)exactly one of these types of movies?
d)exactly two of these types of movies?
e)dramas or comedies?

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Question 468552: how to find length of an arc of a circle when we don't know the radius and angle of the circle?

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Question 469085: http://tinypic.com/r/10i5jbb/7
Thank you.

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Question 470637: Hi I was hoping someone could help me with this please!
Thank you so much!!!
Construct a truth table for the statement.
(p ∨ ∼q)∧ r

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Question 470638: Hi I was hopign someone could please help me with this!!! Thank you so much!!
if p is true, q is false, and r is true, find the truth value of the statement

(r → ∼p) ∧ (q → ∼r)

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Question 470790: (pVq) ->~r
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Question 470834: Hi I was hoping someone could please help me with this! I appreciate all the help!!!! :)
Use an Euler diagram to determine whether the syllogism is valid or invalid.
Some professional golfers give golf lessons.
All people who belong to the PGA are professional golfers.
∴ All people who belong to the PGA give golf lessons.

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Question 470968: Okay I have this question I thought I understood I thought the answer would be ~(~pVq) but its not in the potions so i do not know what i am doing wrong?
. Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
It is not the case that Jim plays football and Michael does not play basketball.

a ~p q
b ~p ~q
c ~(p q)
d ~(p ~q)

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Question 470966: Let p, q, and r be the following statements:

p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.


Translate the following statement into English: (~p V q)-> r

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Question 471847: Describe a pattern in the sequence of numbers. Predict the next number.
1) 1, 2, 6, 24, ___
2) 0, 3, 8, 15, 24, ___

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Question 471847: Describe a pattern in the sequence of numbers. Predict the next number.
1) 1, 2, 6, 24, ___
2) 0, 3, 8, 15, 24, ___

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Question 471852: show the conjecture is false by finding a counterexample.
the square of the sum of two numbers is equal to the sum of the squares of the two numbers. that is, (a+b)^2 = a^2 + b^2

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Question 471852: show the conjecture is false by finding a counterexample.
the square of the sum of two numbers is equal to the sum of the squares of the two numbers. that is, (a+b)^2 = a^2 + b^2

Click here to see answer by richard1234(7193) About Me 

Question 471851: complete the conjecture based on the pattern you observe in the specific case.
Conjecture: For any 2 numbers a and b, the product of (a+b) and (a-b) is always equal to ________ ?
(2+1)(2-1) = 3= 2^2 - 1^2
(3+2)(3-2) = 5= 3^2 - 2^2
(4+2)(4-2) = 12= 4^2 - 2^2

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Question 472051: Construct a truth table for (p q) ~p and it says to show all intermediate steps in your table but idk what they are trying to say.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 472054: Fill in the heading of the following truth table using any of p, q, ~,--> , ?,V , and ^. Use keyboard shortcuts of --> for --> , <--> for ?, V for v, and ^ for ^.
P Q ?
--------
T T F
T F T
F T T
F F F

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Question 472504: PLEASE HELLPP!!! Given p is false, q is true, and r is false, find the truth value of the statement (~p ↔ ~q) ~r.

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Question 472822: How to find d in simplest radical form in a right circular cone shape that is 3 by 3. Thanks.
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Question 472851: The Wildlife Federation surveyed 220 San Diego residents. The results are as follows:
32 had a membership to the Birch Aquarium
57 had a membership to the San Diego Zoo
21 had both
Construct a Venn diagram answering the following questions:
i. How many had only a zoo membership?
ii. How many had only an aquarium membership?
iii. How many belonged to either one or the other or both?
iv. How many belonged to neither?

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Question 472853: What is the number of subsets of set A = {king,queen,knight,prince,princess,duke,earl}? Show all work
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Question 472852: Write all possible subsets of set P using correct set notation
P = {u,l,c,k}

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Question 472849: The President's Council on Fitness asked adults who exercise if they walk,run or stretch. Here are the results.
Stretch= {35,18,15,38}
Walk = {38,15,20,68}
Run = (18,15,20,11}
Of those adults surveyed, how many ran and stretched? Show all work

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Question 472920: Lines l and m are parallel and are cut by the transversal shown. Determine the measures of angles 1 through 7. Include correct units with each part of your solution.
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Question 472917: The following angles are supplementary angles. Determine the measures of adjacent angle 1 and adjacent angle 2. Please show all your work for full credit.
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Question 472950: NOT EVEN MY MATH TUTOR COULD HELP ME PLZ ANYONE! he just gave me the answer and logged off said it was fallacy by deductive reasoning?!?
If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.

If Sally is on vacation, then Tom is at work.
If Tom is at work, then the line at the post office is long.
Therefore, if Sally is on vacation, then the line at the post office is long.

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Question 473012: Probability that an arrow hits second ring (second cirlce) if it hits target?
Problem consist of a circle, and in it are 2 smaller circles, they all have the same center...I'm guessing they're concentric. The radius of the smallest cirlce = 1, second circle=2, and 3rd = 3.
I confiugred 4/9, but, wouldn't the area of lagest circle minus the area of the smallest circle give me the area of the second circle? If this is true, then the area of the second circle would be 8 and the probability would be 8/9. Which is correct, i'm guessing 4/9, but why? Would the area of the largest - the smallest give the correct probability if and only if the readius of the second circle was not given?

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Question 473073: find the distance bewteen the points using the distance formula:
1) (5,-8), (0,0)
2) (a,b) (-a,-b)
please explain how to do it and how u got ur answer!!
thanks :)

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Question 473071: how to find the distance between the points using the distance formula?
1) (-4,-20) , (-10, 15)
2) (40,32) , (36,20)
please explain how and why...thanks :)

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Question 473070: find the distance bewteen the points using the distance formula:
1) (6,4) , (-8,11)
2) (-5,8) , (-10, 14)
please show work and explain whhy!!!
thanks :)

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Question 473077: using the midpoint formula, find the coordinates of the midpoint of the segment whose endpoints are given:
1) E(4,-4), F(1,7)
2) G(2,9), H(-3,6)
3) I(-8,3), J(3,0)

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