Questions on Geometry: Geometric formulas answered by real tutors!

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Question 250821: please help me solve this:
An isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x+2) and (5x-14). Find the length of the base of the triangle.

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Question 252883: A point A is in the exterior of a circle with centre O.OA meets the circle at S.ST is a tangent to this circle at S which meets another circle with centre O and radial segment OA at T.OT is drawn to cut the first circle at B.prove that BA is tangent to its circle at B.[ HINT:PROVE TRIANGLE OBA=TRIANGLE OST
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Question 252998: In a circle of radius5cm,a chord measuring 8cmhas been drawn,find its distance from the centre of the circle.
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Question 253190: How do you find the area of a parallelogram with sides 8 and 14 and an included angle of 60 degrees?
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Question 253199: How do you find the area of a triangle if two sides are 4 inches and 5 inches and the included angle is 120 degrees?
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Question 253197: How do you find the area of an isosceles trapezoid with legs = 10, shorter base = 10 and base angles = 60 degrees?
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Question 252997: prove that common internal tangent segments of two circles are congruent.
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Question 253279: At 9:00 am a car starts at point A and travels north for 1 hour at an average rate of 60 mph. Without stopping, the car then travels east for 2 hours at an average rate of 45 mph. At noon, what is the best approximate approximation of distance in miles of the car from point A? The answer is 108, but I am getting lost in the steps.
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Question 253246: Linda and Sue are raising money for a charity by participating in a walkathon. Their sponsors have pledged $5 for each mile each girl walks. Sue begins at point A and walks 5 miles north, then 6 miles east, and finally 3 miles north again to point B. If Linda walks directly ina straight line from A to B, how many more dollars does Sue raise than Linda?
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Question 253449: 1. The greatest side of a triangle subtends the greatest angle. 2.IF two sides of a triangle are unequal,the angle opposit to the smaller side must be acute.
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Question 254143: THE greatest angles of a triangle has the greatest side opposite to it.
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Question 254142: IF two side of a triangle are unequal, the angle opposite to the smaller side must be acute.
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Question 254142: IF two side of a triangle are unequal, the angle opposite to the smaller side must be acute.
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Question 254096: A pentagon is formed by a rectangle and an equilateral triangle (external to it)with the side (of the triangle) in common with a dimension of the rectangle. Knowing that one dimension of the rectangle measures 4.2 cm and that the diagonal is 7 cm, determine the perimeter and the area of the pentagon.
I just can't figure out the figure. I tried using a square, but it doesn't seem to work right... And it can't be a rectangle because then all the sides of the pentagon would not be egual. I would really appreciate all the help I can get! Thank you!

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Question 254332: What is the next term in the geometric sequence 16, -4, 1, -1/4?
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Question 254418: ERROR ANALYSIS: It is given that j is perpendicular to k and k is perpendicular to l. A student reasons that lines j and l must be parallel. What is wrong with this reasoning? Sketch a counterexample to suppose your answer.

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Question 254725: A regular hexagon is inscribed in a circle. another regular hexagon is circumscribed about the circle so that the midpoints of its sides coinside with the vertices of the first hexagon. What is the ratio of the area of the larger hexagon to the area of the smaller?
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Question 254977: Find the value of the variable that is not given.P=a+b+c (perimeter of a triangle); P=12, a=3,c=5. The answer was b=4 but i was not sure how to get to that answer or how to solve it.
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Question 255178: My homework is on geometric probability. One of my problems has to do with a dart board. I am given that the Diameter of the outer double ring = 41 cm. the diameter of the inner double ring = 36 cm. the diameter of the outer triple ring = 25.6 cm. the diameter of the inner triple ring = 21.2 cm. the diamer of the outer bulls eye = 4.4 cm. and finally the diameter of the inner bull's eye = 1.4 cm. My question asks What is A) what is the probability that the dart will land IN the double ring B) What is the probability of hitting the single bull's eye and finally C) what is the probability of hitting the triple 20 ring. Please help as much as possible, I'd really appreciate it. Thank you! ** Note: The numbers go from 1- 20 on a dart board if that helps at all.
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Question 255276: A circular archery target is 122 cm in diameter and consists of a bull's eye of diameter 12.2 cm, surrounded by nine evenly spaced concentric circles. Assume that an arrow that hits a target is equally likely to land anywhere on the target. What's the probability that the arrow will A) hit the bulls eye B) Land somewhere in the outmost four circles. C) Land within the fifth ring in from the outer edge. ---Please help on this problem! THANKS!
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Question 255276: A circular archery target is 122 cm in diameter and consists of a bull's eye of diameter 12.2 cm, surrounded by nine evenly spaced concentric circles. Assume that an arrow that hits a target is equally likely to land anywhere on the target. What's the probability that the arrow will A) hit the bulls eye B) Land somewhere in the outmost four circles. C) Land within the fifth ring in from the outer edge. ---Please help on this problem! THANKS!
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Question 255572: The area of a triangle is 102m2. The base of the triangle is 17m. What is the height of the triangle?
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Question 257710: c=2 (3.14) R
44=2(3.14)R
what is the answer and please show the work

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Question 257718: Construct a box-and-whisker plot for the set of numbers.
348, 234, 146, 384, 247, 487, 276, 221, 303

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Question 257869: A trunk is 4x3x2 ft. What is the longest rod that this trunk can contain?
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Question 259169: solve K= 1/2t(a-b) for a
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Question 259387: What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?
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Question 259387: What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?
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Question 259590: Carlos leaves Los Angeles on a cross-country car trip at 8:00 a.m. He averages 50 miles per hour. Juanita plans to take exactly the same route, but does not leave until 9:00 a.m. She averages 60 miles per hour. Develop a diagram or table to determine at what time Juanita will pass Carlos.
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Question 244366: A fifty pound play sand will fill approximately1/2 cubit foot I want to fill it
3/4 high how many whole bags of sand will I need to purchase?

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Question 261897: how do i determine which angle has the greatest measure ?

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Question 263006: A couple is making their own wedding cake that has 3 layers. The Top layer: Diameter: 6cm Height: 3cm .... Middle Layer: Diameter 12 cm Height: 4cm...... Bottom Layer: Diameter: 20cm Height: 5cm . The couple wants to know how much to spend on frosting. If each tub of frosting costs $6.99 a tub and each tub of frosting covers 120cm^2 Figure out how much money the couple will have to spend on frosting. ( when calculating the surface area of the cylinders/layers, don't include the bottom base of each layer/cylinder because the bottom base will not get frosting. ) SA of cylinder = 2*(pi)*R*H + 2*(pi)*R^2
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Question 263328: Hi, I need help with this problem: Your older sister is getting married and to save money she is making her own cylinder shaped cake with three layers. Top layer: Radius= 3cm Height = 3 cm Middle Layer: Radius= 6cm Height = 4 cm Bottom layer: Radius = 10cm Height= 5cm If each tub of frosting costs $6.99 and a each tub of frosting covers 120 cm^2 of cake, figure out how much money your sister will have to spend on frosting.
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Question 264231: The perimeter of a triangle is 20 cm. If all the sides are tripled, the new perimeter will be _____ cm.
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Question 266339: If AC = 206 find the value of x. Then find AB and BC
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Question 268315: describe each locus of point
1. in space, the locus of points equdistant from two parallel planes
2. in a plane, the locus of points 4 cm from the center of a circle whose radius id 5cm
3. in a plane, the locus of the centers of all circles with the radius 3 cm that are tangent to a given line L.

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Question 268966: what is the area of a rectangle if the diagnal is 8in and measures 30 degrees
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Question 268898: if arc fbc is 300 degrees what is the measure of angle4
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Question 268986: what is the greatest possible error of 17 inches

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Question 269365: True or False: The sum of the lengths of the diagonals of a rhombus is less than its perimeter.
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Question 270186: The moon is about 384000 km from the earth and its path around the earth is nearly circular. find the circumference of the path described by the moon every month.

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Question 270882: Alexander and Judy are 32 miles apart on a calm lake paddling toward each other.Alexander paddles at 5 miles per hour, while Judy paddles at 8 miles per hour. How long will it take them to meet?
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Question 271031: I need help find in x and y in the following problem.
The shape is a parallelogram (rectangle) the right top corner has 3x in it. The bottom left corner has 63 degrees in it and the bottom right corner has 2y+ 7 degrees.

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Question 272559: The height of a cylinder is six times its radius. Find a function that models the volume V of the cylinder in terms of its radius r.
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Question 272915: Hello,
I have been working on these math problems for a very long times, and I cannot figure out how to do them. Please help me out:
19.) Find the measures of an interior angle and an exterior angle of the indicated regular polygon.
Polygon: regular heptagon
Then number 25 is:
Find the value of n for each regular n-gon described
N-gon: each interior angle of the regular n-gon has a measure of 165 degrees
Thank you so much!

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