Questions on Geometry: Geometric formulas answered by real tutors!

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Question 139701: Hello,
I need to have and understand a formula for finding the midpoint between two points on the arc of a circle. I understand how x%5E2%2By%5E2=r%5E2 in a cartesian coordinate system and the intersecting chords rule. However, I can't make it any further than that. How can I make a midpoint formula?!
Sincerely,
John

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Question 139941: 1. Approximate sqrt%2831%29 by giving the two whole numbers that it lies between
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Question 139945: Find the missing length of the right triangle
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Question 139946: 3. Identify the hypotenuse of the triangle by giving its letter


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Question 139948: 4. The two triangles are similar. Find the indicated side. Find y.

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Question 139950: 5. Which two triangles are similar?


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Question 139951: 6. Find the missing angle.


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Question 139952: 7. Find the measure of angle x and measure of angle y.


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Question 139954:
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Question 139954:
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Question 139977: ok the problem i need help on
if

find the exact area of a regular dodecagon inscribed in circle with the radius R

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Question 140200: Chords, radius and diameter
Given: chord lenght=16
a line from the center to the chord=6
What is the formula to find the diameter?
Thanks...Kayley

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Question 140952: A rectangular piece of tin measures 36 in. by 25 in. A square measuring 4 in. by 4 in. is cut out of each corner and the sides are folded to form a box. What is the volume of the box?
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Question 141430: what is geometry?
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Question 141662: the given points are: A(1,3) and B(4,-1) whats the equation of ab?
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Question 141788: The point (0,-1) on the unit circle is rotated 315 degrees counter-clockwise. Determine the coordinates of the new point.
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Question 116448: Evaluate. pleae help!!
Problem #1 |4| + |-3|



Problem #2 |-9| - |-4|

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Question 142121: I would like to know the formula to find the radius of a circle, when I only have a portion of a circle. chord and arch. I can't remember the formula.
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Question 142843: please help!! find the length and width of rectangle WXYZ. top left of rectangle labeleb W top right Z bottom left X bottom right Y between W and Z is x+7 between X and Y A=198 in.^2 between Z and Y x thenks for the help.
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Question 142841: please help!! find the length and width of rectangle ABCD. top left of rectangle is labeled A top right D bottom left B bottom right C between B and C is P=140cm between D ancd C is x thanks for the help.
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Question 142839: please please help!! find the length of the rectangle in terms of x left top of rectangle is labeled M right top N left bottom P and right bottom O between P and O is area + 4x^3-5x^2-10x-3 Between N and O is 4x+3 please help.
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Question 144010: Hey! My name is Lacey and my teacher gave me the opportunity for extra credit with a really hard problem, but I really, really, really need the extra credit and she said there are going to be problems like this on the test this Friday! yikes! So, your help would be greatly appreciated.
The problem is as follows:
How many squares are on an 8 by 8 checkerboard? Write an explanation of how you got your answer.

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Question 144010: Hey! My name is Lacey and my teacher gave me the opportunity for extra credit with a really hard problem, but I really, really, really need the extra credit and she said there are going to be problems like this on the test this Friday! yikes! So, your help would be greatly appreciated.
The problem is as follows:
How many squares are on an 8 by 8 checkerboard? Write an explanation of how you got your answer.

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Question 144573: i need help finding the are of a shaded region but id have to draw you a picture in order for you to help me. is there a way i can do that so you can help me??

THANKS ALOT

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Question 144880: Find the unknown angle for the following right triangle:
Angle A Angle B Angle C
? 90 27

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Question 145075: write TRUE or FALSE...
1. A line has lenght and width.
2. A point has no Dimension.
3. A ray has definite length.
4. A line consists of an infinite number of points.
5. A plane has an infinite number of lines.
6. Opposite planes are Coplanar.
7. TRUE
8. A line segment has definite length.
9. TRUE
10. TRUE

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Question 145731: If you are standing 85 ft. from the base of a flag ploe, and determined that at ground level, you would need to look up at a 30 degree angle to see the top of the flag pole, how tall is the flag pole round the hight to tenths.
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Question 146504: Hey, I'm having some trouble understanding this... Do you think you could help me? Thanks ahead of time.(:

Find the slope of a line parallel to the graph of each equation.

y = 1/2x + 2.3

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Question 146741: what is the formula will i use if i want to get the area in square meter of an octagon?
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Question 146816: Is there a formula for answering this problem?
The coordinates are (-1,2),(-10,-1). Find two points that can cut the segment into three parts with equal length.

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Question 146952: This was a two part question. I figured out the answer for A but not B.
Find components for the following vectors AB :
(a) A = (1,2) and B = (3,-7)
My answer is: from A to B [-1,4]
(b) A = (2,3) and B = (2 + 3t, 3-4t)

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Question 147608: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 2 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Choose the answer from the following:
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Question 147750:
A bicycle wheel of diameter 30 inches is spinning at a rate of 60rpm. What is the exact value of the angular velocity of the wheel in rad/min?
What is the linear speed of the bicycle in the previous problem to the nearest mile per hour?

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Question 148404: how can you represent the cosine of an angle in terms of a ratio?
thnx

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Question 148357: What is a meter? I know that it is a member of the metric unit, but I need to know what the meaning of it is. I also need the same thing about these:
kilometer(km)(I think I already know this one though, one km=0.62miles?)
kilogram(kg)

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Question 142123: Factor completely by grouping:
2y+%2B+mx%5E3+%2B+my+%2B+2x%5E3

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Question 148768: Find the exact value. (We are suppost to be using the trig addition and subtraction formulas to find a solution) For the first problem I got the answer -(√2)/2 and I got totally lost on the second problem. I'm not sure if my answer was correct. Help would be greatly appeciated. Thanks
1) sin(11pi/12) (use 11pi/12=2pi/3+pi/4)
2) tan(7pi/12) (use 7pi/12=3pi/4-pi/6)

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Question 148784: Please help me solve:
An angle measures 14° less than three times its complement.
Find the measure of the angle and it's complement.

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Question 148866: For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diamer cake layers with a cream topping on each layer. He knows that one receipe of cream will cover 54 square inches of cake. How many batches of topping must he make to complete his torte(Use 3.14 as an approximate value)
Could you please start me off with how i would set this problem up? Please don't give me the answer. Thank you

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Question 148843: Verify the identity using multiple-angle formulas.

1a) cos^(2)3x-sin^(2)3x=cos6x


1b) (sin^(2)2α)/(sin^(2)α)=4-4sin^(2)α

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Question 149168: 2. The Great Pyramid at Giza was originally 483 feet tall, and it had a square base that was 756 feet on a side. It was built from rectangular stone blocks measuring 7 feet by 7 feet by 15 feet. Such a block weighs seventy tons. Approximately how many tons of stone were used to build the Great Pyramid? The volume of a pyramid is 1/3 the base area times the height.
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Question 149170: 4. A broken circular gear is brought into a metal shop so that a replacement can be built. A ruler is placed across two points on the rim, and the length of the chord is found to be 14 inches. The distance from the midpoint of this chord to the nearest point on the rim is found to be 4 inches. Find the radius of the original gear.
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Question 149171: 7. The altitude of a regular triangular pyramid is the segment connecting a vertex to the centroid of the opposite face. A regular triangular pyramid has edges of length 6 inches. How tall is such a pyramid, to the nearest hundredth of an inch?
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Question 149173: 10. The segments GA and GB are tangent to a circle with center O at A and B, and AGB is a 60-degree angle. Given that GA = 12 square root 3 cm, find the distance GO. Find the distance from G to the nearest point on the circle.

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Question 149517: Find the volume of material that is needed to form a spherical shell whose outer radius is 6.0 inches and whose thickness is 0.01 inches. Use your answer to estimate the surface area of the 6-inch sphere.
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