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Question:Given Circle D, what is the length of AE? 24.5 units 49 units 23.5 units 26 units -------------------------------------------------------------------------------- Question 2 (Multiple Choice Worth 3 points) [7.04] What is the measure of arc AC if the diameter, AB, of circle O is 24 cm. 45 degrees 135 degrees 67.5 degrees 270 degrees -------------------------------------------------------------------------------- Question 3 (Multiple Choice Worth 3 points) [7.03] Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth. C = 21.98cm and A = 38.47cm squared C = 21.98cm and A = 153.86cm squared C = 43.96cm and A = 38.47cm squared C = 43.96cm and A = 153.86cm squared -------------------------------------------------------------------------------- Question 4 (Multiple Choice Worth 3 points) [7.06] Given Circle D, if AC = 16 units, then what is the length of CB? 4 units 32 units 12 units 8 units -------------------------------------------------------------------------------- Question 5 (Multiple Choice Worth 3 points) [7.05] Find the area of the purple sector of the circle with a given radius of 5 units. Use pi = 3.14 and round to the nearest hundredth. 26.17 units squared 19.63 units squared 13.08 units squared 2.62 units squared -------------------------------------------------------------------------------- Question 6 (Multiple Choice Worth 3 points) [7.01] A set of all points in a plane that are the same distance from a given point is called a circle center radius diameter -------------------------------------------------------------------------------- Question 7 (Multiple Choice Worth 3 points) [7.02] Identify the center and the radius of the circle with equation (x - 6)2 + y2 = 49. center (0, -6) and radius = 7 center (0, 6) and radius = 49 center (-6, 0) and radius = 7 center (6, 0) and radius = 7 -------------------------------------------------------------------------------- Question 8 (Multiple Choice Worth 3 points) [7.01] Which of the following is a tangent line to circle O? line EF segment OD segment BC line AG -------------------------------------------------------------------------------- Question 9 (Multiple Choice Worth 3 points) [7.02] Which of the following is the equation for a circle with center (5, -1) and radius of 4? (x + 5)2 + (y - 1)2 = 16 (x + 5)2 + (y - 1)2 = 4 (x - 5)2 = (y + 1)2 = 4 (x - 5)2 + (y + 1)2 = 16 -------------------------------------------------------------------------------- Question 10 (Multiple Choice Worth 3 points) [7.05] Find the geometric probability of throwing a dart and hitting the yellow ring. You may assume the dart will not miss the target entirely. -------------------------------------------------------------------------------- Question 11 (Essay Worth 4 points) [7.01] Given circles A and D, FA = 13mm, EB = 4mm, and B is the midpoint of ED. Find the length of AG. Explain your solution for credit. -------------------------------------------------------------------------------- Question 12 (Essay Worth 4 points) [7.02] Write the equation of a circle with endpoints of the diameter at (4, -3) and (-2, 5). Show your work for credit. -------------------------------------------------------------------------------- Question 13 (Essay Worth 4 points) [7.03] Find the radius and circumference of a circle with an area of 200.96 cm squared. Use pi = 3.14. Show your work for credit. -------------------------------------------------------------------------------- Question 14 (Essay Worth 4 points) [7.04] Find the length of arc AC if the diameter, AB, of circle O is 36 cm. Write answer in terms of pi. Show your work for credit. -------------------------------------------------------------------------------- Question 15 (Essay Worth 4 points) [7.05] Find the area of the segment of the circle shaded in blue. The radius of the circle is 13 units and the base of the triangle is 24 units. Use pi = 3.14 and round your answers to the nearest hundredth. Show your work for credit.

Answers:wish i could help you but most of your ?s need a picture

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Question:http://s676.photobucket.com/albums/vv124/rockine1993/?action=view¤t=geom_365bb.jpg http://s676.photobucket.com/albums/vv124/rockine1993/?action=view¤t=geom_365c.jpg http://s676.photobucket.com/albums/vv124/rockine1993/?action=view¤t=geom_365a.jpg 31: At five o'clock the measure of the angle formed by the hands of the clock is? 60 210 150 180 32: In angle ABC, A is the vertex. True False Neither Both 33: A regular polyhedron is a polyhedron with faces that are congruent squares. True False Neither Both 34: In Figure 7 if m Arc PM = 40 and m Arc JKM = 210 , then m Ang PJK = 70 35 55 40 35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right? Yes No Maybe Sometimes 36: A triangle with at least two sides of equal length is called _______. Scalene Isosceles Equilateral Regular 37: A polygon is regular if and only if the sides are congruent ( if and only if states a condition but does not necessitate it to be the sole condition). False True Neither Both 38: In the proof above, the reason for step 5 is substitution parallel postulate equal corresponding angles angle addition 39: What is the center of the circle with equation (x + 1)^2 + (y + 3)^2 = 9/4? (-1, -3) (-1, -1) (-3/2, 4) (1, 3) 40: Use Figure 2 above. If m Ang B = 53 and m Ang C = 62 , which side(s) of Triangle ABC is(are) the longest? AB BC AC AB & BC 41: What is the equation of the line with slope 2/3 and passes through the midpoint of the segment joining points (-1, 6) and (-7, -4)? y = -3x - 9 y = (2/3)x + (11/3) y = -3x - 7 y = (2/3)x - 6 42: In the proof above, the reason for step 4 is substitution angle addition equal corresponding angles parallel postulate 43: For Figure 4, find DE. 6 8 10 12 44: If two triangles are congruent, then the _______ corresponding parts are congruent. 3 6 4 2 45: Lines p and q are parallel. The slope of p is 5 and the slope of q is 10/v. What is v? 2 sqrt(13) 4 4 sqrt(2) 2 46: For Figure 6, 0A = 3 and AC = 12, what is OB? 3sqrt(9) 3 sqrt(3) 7 sqrt(153) 47: Classify the angle with measure 75 degrees. Acute Obtuse Straight Right 48: A parallelogram of area 78 square units has one side of length 12. Find the length of an altitude to that side. 3 2 sqrt(3) 6 6.5 49: Refer to Triangle DFE in Figure 5, if DM = 4 and ME = 8, what is FM in simplified form? 4 sqrt(2) 12 2 sqrt(3) 16 50: In elliptic or spherical geometry, there can be _____ right angle(s) in a triangle. zero one two three 51: For right triangle ACB with right angle C, if m Ang A = 45 and BC = 3, what is the length of AC? 3 sqrt(3) 3 3 sqrt(2) 1.5 52: Opposites sides of a parallelogram are parallel and congruent. True False Neither Both 53: In the proof above, the reason for step 3 is substitution angle addition parallel postulate equal corresponding angles

Answers:You must understand that we're not out here to do your homework. If you have a specific question that will help you see how to do the remainder of your work, then fine, I'm all for it. But when you blast out a whole problem set like this and someone answers it, it does not help you understand the work at all. Post a problem. Show us the work that you have done, or describe the difficulty that you are having with the problem. Then we can take some constructive steps to help you with your work.

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Question:As a follow-on to http://answers.yahoo.com/question/index?qid=20080404190545AAwI6UO and referring to this diagram: http://nrich.maths.org/askedNRICH/edited/2360.html (but using my notation, not his) I want to talk about the general eqn for line PQ, NOT just shortest distance itself. Two questions: 1) Critique my working and suggest any improvements. 2) We end up with three eqns in two parametric variables (s,t). How can we be sure that this overdetermined system has any solution in s,t? Given any two skew (non-intersecting) lines: Line LP : x = a + sb Line LQ : x = c + td >Hint: the line joining P and Q is perpendicular to both lines PQ must be parallel to (a b), so form the unit vector in that direction: n = (a b) / ||a b|| Now take any (non-shortest) vector which is known to go between lines LP and LQ, such as (c-a), and project it onto n: a + sb ||(c -a) . n|| n = c + td (a-c) ||(a-c) . n|| n = (td -sb) => Three eqns in two variables s,t I think the missing third variable is r, an arbitrary-length vector in the direction of n. => Three eqns in three variables Or something like that. Please help tie up this loose end and rewrite: (a-c) ||(a-c) . n|| n = (td -sb) scythian - thanks. It simplifies a bit if we write (a-c) =u in: e = (a-c) +Sb -Td = u +Sb -Td Can you simplify your result algebraically? It looks like a determinant, or two separate determinants to me?

Answers:Let me try my hand in this. Let a, b, c, d be vectors in 3D space, and S, T be scalar variables, so that we have two skew lines a+Sb, c+Td. The difference, e = (a+Sb) - (c+Td), is a vector connecting the two lines, so that the shortest such vector would have the property e . b = e . d = 0. If we expand both, and solve the simultaneous equations, we end up with the following scalar quantities S, T: S = ((cd - ad) bd + (ab - cb) dd) / ((bd) - bb dd) T = ((ab - cb) bd + (cd - ad) bb) / ((bd) - bb dd) where ab, ad, cb, cd, bd, bb, dd are all vector dot products. Incidentally, the same result can be found by finding minimum S & T through partial differentiation of the vector length of e. Addendum: Well, let's see, if a - c = u, we can rewrite the equations as: S = (ub dd - ud bd) / ((bd) - bb dd) T = (ub bd - ud bb) / ((bd) - bb dd) The form does vaguely remind me of terms found in differential geometry, as for example EG - F , which is a determinant of the first fundamental form.

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