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Tutors Answer Your Questions about Length-and-distance (FREE)
Question 1176989: EVOL is a cyclic quadrilateral, inscribed in a circle with center S. Given that the radius of this circle is 25 in. and angle VEL is 55 degrees, explain your work to find the following measurements.
a)Length of Major Arc VL
b)Angle measure of Minor Arc VL
c)Angle VOL
d)Length of Chord VL
Click here to see answer by ikleyn(52747)   |
Question 1176989: EVOL is a cyclic quadrilateral, inscribed in a circle with center S. Given that the radius of this circle is 25 in. and angle VEL is 55 degrees, explain your work to find the following measurements.
a)Length of Major Arc VL
b)Angle measure of Minor Arc VL
c)Angle VOL
d)Length of Chord VL
Click here to see answer by CPhill(1959)  |
Question 1186272: On a wall, 60 1/2 cm wide, Oscar is going to hang three pictures beside each other, each measuring 9 1/3 cm wide. He will leave 3 1/2 cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture, and will centre these nails leaving 4 cm between each pair. How far, in cm, from the end of the wall(on either side) will the first nail be placed?
Click here to see answer by ikleyn(52747) |
Question 1186272: On a wall, 60 1/2 cm wide, Oscar is going to hang three pictures beside each other, each measuring 9 1/3 cm wide. He will leave 3 1/2 cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture, and will centre these nails leaving 4 cm between each pair. How far, in cm, from the end of the wall(on either side) will the first nail be placed?
Click here to see answer by CPhill(1959) |
Question 1210282: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10degrees off course to avoid a storm. If the pilot adjusts his course after 100 miles, how much farther is the flight than a direct route?
Click here to see answer by mccravyedwin(405)  |
Question 1210282: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10degrees off course to avoid a storm. If the pilot adjusts his course after 100 miles, how much farther is the flight than a direct route?
Click here to see answer by ikleyn(52747) |
Question 1210281: a 50m supporting wire is to be attached to a 75 m antenna. Because of surrounding buildings, sidewalks, and roadways, the wire must be anchored exactly 20 m from the base of the antenna. How high from the top of the antenna is the wire attached?
Click here to see answer by ikleyn(52747) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by mccravyedwin(405) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by AnlytcPhil(1806)  |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by ikleyn(52747) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by greenestamps(13195)  |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by CPhill(1959) |
Question 1166192: Charlie has a collection of books that he wishes to display in a narrow
bookcase with shelves of width 56 cm. The thickest books are no more
than 16 cm wide and, when placed side by side, the entire collection takes
up 2.4m. Find, with justification, the minimum number of shelves required
to guarantee that all of the books can be displayed in the bookcase.
I'm confused with how to justify this. Can someone please help me? Thanks!
Click here to see answer by ikleyn(52747) |
Question 1173735: Airport B is 320 miles from airport A on a bearing of S40°E. A pilot wishes to fly from A to B, but to avoid a storm must first fly due East at a speed of 210 mph for an hour, and then from this point (call it C) turns to fly to B. Find the distance, to the nearest mile, and the bearing, to the nearest degree, that the pilot must fly to airport B?
Click here to see answer by CPhill(1959) |
Question 1181582: Given three lines 3x + 2y -16 = 0 …eq. 1, 2x - y + 1 = 0 …eq. 2 and x - 4y + 4 = 0 …eq. 3, let A be the point of intersection of lines …eq. 1 and …eq. 2, B be the point of intersection of lines …eq. 2 and …eq. 3, and C be the point of intersection of lines …eq. 3 and …eq. 1. Find the coordinates of circumcenter K of triangle ABC.
Click here to see answer by CPhill(1959) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by greenestamps(13195) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by ikleyn(52747) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by CPhill(1959) |
Question 1209174: A farmer has fenced off his housing area, which is shown in the diagram. There is a post at each of the points A and B, to which the farmer sometimes attaches a 36 m rope that is tied to his 16 m donkey. This provides the donkey with either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing, in m2.
Click here to see answer by math_tutor2020(3816) |
Question 1209174: A farmer has fenced off his housing area, which is shown in the diagram. There is a post at each of the points A and B, to which the farmer sometimes attaches a 36 m rope that is tied to his 16 m donkey. This provides the donkey with either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing, in m2.
Click here to see answer by ikleyn(52747) |
Question 1209099: Write the equation for the perpendicular bisector of the line segment connecting the points (-3,12) and (-5,12) in the form y = mx + b.
Note: The perpendicular bisector of the line segment \overline{AB} is the line
that passes through the midpoint of \overline{AB} and is perpendicular to \overline{AB}.
Click here to see answer by ikleyn(52747) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635
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