Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1157992: The reflection property of parabolas. Consider the parabola whose focus is F = (1,4) and whose directrix is the line x = −3.
(a) Sketch the parabola, and make calculations that confirm that P = (7, 12) is on it.
(b) Find the slope of the line μ through P that is tangent to the parabola.
(c) Calculate the size of the angle that μ makes with the line y = 12.
(d) Calculate the size of the angle that μ makes with segment F P .
Click here to see answer by KMST(5377)   |
Question 1157988: Let WISH be a cyclic quadrilateral, and K be the intersection of its diagonals WS and HI. Given that arc WI is 100 degrees and arc SH is 80 degrees, find the sizes of as many angles in the figure as you can.
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Question 1163329: If you are in shallow water and look at an object below the surface of the water,
the object will look farther away from you than it really is. This is because as light passes
through air and water it bends or refracts the light rays. The index of refraction for water is 1.33.
This is the ratio of the sine of theta 1 and the sine of theta 2.
a)You are in 2 feet of water in the shallow end of a pool. You look down at some goggles at angle
(theta=60) degrees measured from a line perpendicular to the surface of the water. Find (theta 2 )
b) Find the distances x and y
Click here to see answer by ikleyn(53875)  |
Question 1163329: If you are in shallow water and look at an object below the surface of the water,
the object will look farther away from you than it really is. This is because as light passes
through air and water it bends or refracts the light rays. The index of refraction for water is 1.33.
This is the ratio of the sine of theta 1 and the sine of theta 2.
a)You are in 2 feet of water in the shallow end of a pool. You look down at some goggles at angle
(theta=60) degrees measured from a line perpendicular to the surface of the water. Find (theta 2 )
b) Find the distances x and y
Click here to see answer by CPhill(2264)  |
Question 1163755: Let u = [2, −3, 1] and v = [0, 1, 4]. Calculate the vector u − v. Place u and v tail-to-tail to form two sides of a triangle. With regard to this triangle, what does u − v represent? Calculate the number u•u and discuss its relevance to the diagram you have drawn. Do the same for the number (u − v)• (u − v).
Click here to see answer by CPhill(2264) |
Question 1163922: Let’s assume the following statements are true: Historically, 75% of the five-star football recruits in the nation go to universities in the three most competitive athletic conferences. Historically, five-star recruits get full football scholarships 93% of the time, regardless of which conference they go to. If this pattern holds true for this year’s recruiting class, answer the following:
a. Based on these numbers, what is the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship?
b. What are the odds a randomly selected five-star recruit will not select a university from one of the three best conferences? Explain.
c. Explain whether these are independent or dependent events. Are they Inclusive or exclusive? Explain.
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Question 63293: Rashad wants to wallpaper the four walls of his bedroom. the room is rectangular and measures 11 feet by 13 feet. the cieling is 10 feet high. a roll of wallpaper at a store is 2.5 feet wide and 50 feet long. how may rolls should he buy?
Click here to see answer by ikleyn(53875) |
Question 262612: Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If clint has 65 ft of fencing, what are the dimensions of each pen?
Click here to see answer by ikleyn(53875) |
Question 1137073: Two cones are similar in shape. The ratio of the diameters of their bases is 2:7. The radius of the smaller cone is 4.5 inches. A) find the radius of the larger cone B) write the ratio of the height of the smaller cone to the height of the larger cone.
Click here to see answer by ikleyn(53875) |
Question 1154763: Raul is 537 ft from the world's tallest totem pole in Albert Bay, Canada. He decides to place a mirror on the ground between himself and the totem pole to use the angle of reflection to estimate the pole's height indirectly. he places the mirror at a spot that is 519 ft from the pole and backs up to his original position. if Raul is 6 ft tall, how tall does he calculate the pole to be? (draw a picture to help you solve it.)
Click here to see answer by ikleyn(53875) |
Question 1179513: The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR.
Find the slope of the median of the triangle that passes through point R.
Find the slope of the altitude of the triangle that passes through point Q.
Click here to see answer by ikleyn(53875) |
Question 1179642: 1.the classroom is 20 feet long and 30 feet wide.the principal decided that the tiles would look attractive in that class.if each tile is 24 inches long and 36 inches wide,how many tiles are needed to fill the classroom?
2.a rectangle is 4 times as long as it is broad.if the lenth is increased by 4 inches and the width is decreased by 1 inch,the area would be 60 squares inches.what were the dimensions of the original rectangle?
Click here to see answer by ikleyn(53875) |
Question 1206179: You are the sailmaker creating a pattern for your customer. Your customer wants a triangular sail with two colors such as yellow and white. Your customer wants the yellow part to have the sides as 3 meters, 6 meters, and 21 meters. If the longest side of the sail were 84 meters, how many meters of white cloth would you cut to complete the sail? Given: Upper side - 6 meters. Provide solution and Illustration
Click here to see answer by ikleyn(53875) |
Question 437230: A kite flying 20 ft. above the ground is attached to a string 80 ft. long. The string is being held by a person on the ground.if the kite fell vertically to the ground, how far away from the stake would the kite land?
Click here to see answer by ikleyn(53875) |
Question 1165192: Work out the next 5 terms in the number sequences below and explain your calculation using 'n' as your first term; e.g.n+1,n+2,n+3,etc:
a. 297;290;276;255;.....
b. 1;10;100;.....
c. 3;9;81;.....
d. 24;25;27;30;.....
Click here to see answer by CPhill(2264) |
Question 732119: a street sign at the end of Dion's street is 8feet high. At a certain time, it casts a shadow of 6 feet long. Dions tied a rope to the top of the sign and fastened it in the ground at the end of the shadow, making a triangle with the sign, the rope, and the shadow. what is the length of the rope
Click here to see answer by ikleyn(53875) |
Question 732251: A ball is tossed upward with an initial velocity of 122 ft/s from a platform that is 700 ft above the surface of the earth. After t seconds, the height of the ball above the ground is given by the equation h = -16t^2 + 122t + 700. What is the maximum height of the ball? Round to the nearest tenth of a foot.
Click here to see answer by ikleyn(53875) |
Question 744559: A square region with a side length of 2 inches lies within another, larger square region as shown above. If the larger square region has an area twice that of the smaller square region, then how much larger is the diagonal of the large square region than the diagonal of the small square region?
Click here to see answer by ikleyn(53875) |
Question 574963: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest side. What are the lengths of all three sides?
Click here to see answer by ikleyn(53875) |
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