Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 1170074: A tower supporting the cable is 1,200 meters and 170 meters above
the bridge it supports. Suppose the cable hangs following the shape of
parabola, with its lowest point 20 meters above the bridge. How high
is the cable 120 meters away from a tower?
Click here to see answer by ikleyn(52795)   |
Question 1170358: Hi. This is my second question for today.
A bridge has an elliptical arch as a support. The arch has a height of 7 meters and a width at the base of 40 meters. A horizontal roadway is 2 meters above the center of the arch. How far would it be above the arch at 8 meters from the center?
I've been solving this but can't be quite sure whether I'm correct or not. I got 0.6 m.
Thank you so much.
Click here to see answer by math_tutor2020(3817) |
Question 1170340: I'm trying to find what is meant by this question after I answer the question above from making a table with H(t)=-16t^2+46t+6, explain what the x-intercepts (-.125, y=0) and the vertex (max point 3, y=0) tell you about the situation. Be specific.
Click here to see answer by Boreal(15235)  |
Question 1170357: A 20-meter high arch has the form of a parabola with a vertical axis. A horizontal beam was placed across it 9 meters from the top with a measure of 60 meters. What would be the width of the arch at the bottom?
I've been trying to solve this for an acquaintance but I just couldn't confirm whether it's correct or not. My answer's 89.4 by the way. Thank you so much in advance.
Click here to see answer by Solver92311(821)  |
Question 1170379: Hello. This is my third question today.
A 20-meter high arch has the form of a parabola with a vertical axis. A horizontal beam was placed across it 9 meters from the top with a measure of 60 meters. What would be the width of the arch at the bottom?
I've been trying to solve this for an acquaintance but I just couldn't confirm whether it's correct or not. My answer's 89.4 by the way. Thank you so much in advance.
Click here to see answer by Solver92311(821) |
Question 1170405: A circular driveway is bounded by two circles. The equation of the large circle is x^2 + y^2 = 4225, while
the smaller circle is x^2 + y^2 = 1444. What is the difference between the area of the larger circle and the
smaller circle?
Click here to see answer by greenestamps(13200)  |
Question 1170419: A large pillar has a cross section in the shape of hyperbola. The curves can be modeled by the equation x^2/25 - y^2/100 =1
The pillar is 225 meters all
a. Find the width at the narrowest point in the middle
b. Find the width of the top of the pillar
Click here to see answer by htmentor(1343)  |
Question 1170528: A tunnel through a mountain for a four lane highway is to have an elliptical
opening. The total width of the highway(not the opening) is to be 16m and the
height at the edge of the road must be sufficient for a truck 4m high to clear
if the highest point of the opening is to be 5m approximately. How wide must
the opening be?
Click here to see answer by Edwin McCravy(20056)  |
Question 1170540: A big room is constructed so that the ceiling is a dome that is semielliptical in shape. If a person stands at one focus and speaks, the sound that is made bounces off the ceiling and gets reflected to the other focus. Thus, if two people stand at the foci (ignoring their heights),they will be able to hear each other. If the room is 34 m long and 8 m high, how far from the center should each of two people stand if they would like to whisper back and forth and hear each other?
Click here to see answer by ikleyn(52795) |
Question 1170524: The orbit of the planet has the shape of an ellipse, and on one of the foci is the star around which it revolves. The planet is closest to the star when it is at one vertex. It is farthest from the star when it is at the other vertex. Supposed the closest and farthest distances of the planet from this star, are 420 million kilometers and 580 million kilometers respectively. Find the equation of the ellipse, in standard form, with center at the origin and the star at the x-axis. Assume all units are in millions of kilometers.
Click here to see answer by greenestamps(13200) |
Question 1170530: At a water fountain, water attains a maximum height of 4m at horizontal distance of 0.5m from its origin. If the path of the water is parabola, find the height of the water at a horizontal distance of 0.75m from the point of origin.
Click here to see answer by Boreal(15235) |
Question 1170614: Some comets, such as Halley's comet, are a permanent part of the solar system, traveling in elliptical orbits around the sun. Other comets pass through the solar system only once, following a hyperbolic path with the sun at a focus. The figure shows the path of such a comet.
Find an equation for the path, assuming that the closest the comet comes to the sun is 6 × 10^9 mi and that the path the comet was taking before it neared the solar system is at a right angle to the path it continues on after leaving the solar system. (Round your answers to two decimal places.)
x^2 - y^2 = ___ x 10^__
Click here to see answer by ikleyn(52795) |
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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, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955
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