Questions on Algebra: Trigonometry answered by real tutors!

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Question 144193: Please help me with this problem:
What is the equation for the asymptote for:
R(x)=x^3+1/x^2+1

Click here to see answer by jim_thompson5910(28595) About Me 
Question 144193: Please help me with this problem:
What is the equation for the asymptote for:
R(x)=x^3+1/x^2+1

Click here to see answer by stanbon(57377) About Me 

Question 144192: Please help me with this problem:
What is the equation for the asymptote for:
R(x)=x^3+1/x^2+1

Click here to see answer by jim_thompson5910(28595) About Me 

Question 144130: Two forces act on an object, producing a resultant force of 356.2 pounds. One of the forces if 200 pounds and makes an angle of 47 degrees with the resultant force. Approximate the magnitude of the otehr force to the nearest pound.
Click here to see answer by jojo14344(1512) About Me 

Question 144455: the problem states:
for which numbers x, 0<=x<2pi, are teh following functions NOT defined?
9. tan x
i dont understand
can you help
with step by step explaination?

Click here to see answer by nabla(475) About Me 

Question 144643: Hi, if anyone can tell me if I am in the right direction with this problem please.
Two boats leave a marina at the same time. Boat A travels at 20km/hr in a direction of 65 degrees. Boat B travels at 12.5km/hr in a direction of 145 degrees. How far apart are the boats after 2 hours. (2) In what direction would the skipper of Boat A have to look to see Boat B. I have this.
Boat A 20km x 2 hrs = 40 km
Boat B 12.5 km x 2 hrs = 25 km.
They are offset by an angle of 145-60 = 86 degrees. Using the Law of Cosines I get
x^2 = 40^2 + 25^2 - 2(40)(25)cos(85 degrees) = 2050.688. so x^2 = 45.28. The boats are 45.28 km apart after 2 hours. However this just doesnt seem right to me.
I have no idea how to answer part b.
Thanks.

Click here to see answer by ankor@dixie-net.com(15657) About Me 
Question 144643: Hi, if anyone can tell me if I am in the right direction with this problem please.
Two boats leave a marina at the same time. Boat A travels at 20km/hr in a direction of 65 degrees. Boat B travels at 12.5km/hr in a direction of 145 degrees. How far apart are the boats after 2 hours. (2) In what direction would the skipper of Boat A have to look to see Boat B. I have this.
Boat A 20km x 2 hrs = 40 km
Boat B 12.5 km x 2 hrs = 25 km.
They are offset by an angle of 145-60 = 86 degrees. Using the Law of Cosines I get
x^2 = 40^2 + 25^2 - 2(40)(25)cos(85 degrees) = 2050.688. so x^2 = 45.28. The boats are 45.28 km apart after 2 hours. However this just doesnt seem right to me.
I have no idea how to answer part b.
Thanks.

Click here to see answer by stanbon(57377) About Me 
Question 144643: Hi, if anyone can tell me if I am in the right direction with this problem please.
Two boats leave a marina at the same time. Boat A travels at 20km/hr in a direction of 65 degrees. Boat B travels at 12.5km/hr in a direction of 145 degrees. How far apart are the boats after 2 hours. (2) In what direction would the skipper of Boat A have to look to see Boat B. I have this.
Boat A 20km x 2 hrs = 40 km
Boat B 12.5 km x 2 hrs = 25 km.
They are offset by an angle of 145-60 = 86 degrees. Using the Law of Cosines I get
x^2 = 40^2 + 25^2 - 2(40)(25)cos(85 degrees) = 2050.688. so x^2 = 45.28. The boats are 45.28 km apart after 2 hours. However this just doesnt seem right to me.
I have no idea how to answer part b.
Thanks.

Click here to see answer by Alan3354(30993) About Me 

Question 144634: I need help with the following question please.
A ranger in a fire tower A spots a fire at a bearing of 295 degrees. A ranger in fire tower B, located 45 miles at a bearing of 45 degrees from Tower A, spots the same fire at a bearing of 255 degrees. How far away from Tower A is the fire?
Thanks very much.

Click here to see answer by Alan3354(30993) About Me 

Question 144669: Hi, does anybody know the value of cot 90º? I think you would have to move counter clockwise from the standard position, but that would put you on top of the positive y-axis. Can anyone provide the answer and how they got it?
Click here to see answer by jim_thompson5910(28595) About Me 
Question 144669: Hi, does anybody know the value of cot 90º? I think you would have to move counter clockwise from the standard position, but that would put you on top of the positive y-axis. Can anyone provide the answer and how they got it?
Click here to see answer by shahid(44) About Me 

Question 144723: 1. In decimal form, what is 1/60 of 1 degree? Round your answer to 3 decimal places.

Click here to see answer by checkley77(12569) About Me 

Question 144866: expand and simplify the following expression: (x+5)^3
Click here to see answer by Earlsdon(6287) About Me 

Question 144968: If tbone can paint a car in 4 hours and walker texas ranger can paint the same car in 6 hours, how long will it take them to paint the car together?
Click here to see answer by stanbon(57377) About Me 

Question 145207: Hello (again),
Please disregard the first question sent to you from (kenronda@sover.net).
After thinking about my question I relized it was flawed in a few ways.
Also, I mis-quoted the text I was working from. (sorry mr. text)
If you would allow me to re-phrase my question:
Problem: (solve: 2cosx + sin2x = 0)
I used the Double-Angle Identity to make (sin2x) ---> (2sinxcosx)
Can I view a term that looks like this: (2sinxcosx)
as: (2)(sinx)(cosx) -----> (sinx)(2)(cosx) ?????????
If this is legal it would let me Factor out the (2)(cosx) from the
original problem and solve each Factor for the Solution Set.
Thank you for your help-- ken b




Click here to see answer by vleith(2825) About Me 

Question 145235: On January 1, 1999, the price of gasoline was $1.39 per gallon. If the price of gasoline increased by 0.5% per month, what was the cost of one gallon of gasoline, to the nearest cent, on January 1 one year later.
Click here to see answer by stanbon(57377) About Me 

Question 144131: An airplane heads N 35 degrees W at an airspeed of 350 miles per hour with a wind blowing from the east at 19 miles per hour. Approximate the ground speed of the plane to the nearest mile per hour and determine the actual direction of the flight to the nearest degree.
Click here to see answer by Alan3354(30993) About Me 

Question 146100: Express each angle measure to radian measure.
a.)5 degrees 5 minutes and 5 seconds
b.)3\5 rev.
c.)1 degree 2 minutes 3 seconds
d.)4.1 rev.
e.)60 degrees 5 minutes 28 seconds
Express each angle measure to degrees measure.
a.)1.2 rad
b.)5\3 rev.
c.)8 rad
d.)1.4 rev
e.)4.2 rad

Click here to see answer by stanbon(57377) About Me 

Question 146501: the function vaule for: cot 81.1 degrees
Click here to see answer by edjones(7569) About Me 

Question 146557: 1.find the radius of a pulley which is driven at 100rev/min by a belt moving at 12 m/s.
2.a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32degrees in a distance of 50cm?
pls., help me in my assignment in trigonometry.,. tnx a lot.

Click here to see answer by nerdybill(6962) About Me 

Question 146543: I am having a problem understanding where the answer is coming from in this question. Any assistance would be appreciated. The question is, a plane flies at a bearing due east from the airport for 120 km. It changes directon to 30 degrees and then travels and additional 50 km. How far is the plane from the airport. I used the Law of Cosines of c^2 = a^2 + b^2 - 2abCosC. Which I used a = 50 and b = 120. Cos C = 30 degrees. So my final answer is 2500 + 14,400 - 2(50)(120)*.8666 = 6500. a^2 = 6500 = 80.62 km.
But the answer says I should be using a^2 = b^2 + c^2-2bc CosA. They use 120 for b and 50 for C and 120 degrees for Cosine A. Answer is 151 km. Please advise why I am to be using Cos 120 and not Cos30. I am reading if it says it changes direction to 30 degrees, not just 30 degrees, that it is going north towards 30 degrees, Perhaps this is not correct. Thank you.

Click here to see answer by Alan3354(30993) About Me 

Question 146672: a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32 degrees in a distance of 50cm?
my answer is 179.14 cm. am i correct?

Click here to see answer by scott8148(6628) About Me 

Question 146671: a man is jogging on an oval track with radius 89 meters. if the man was jogging at a speed of 25meters/minute, what was the central angle generated by the man after 5 minutes?
Click here to see answer by Alan3354(30993) About Me 

Question 146678: please help me
1. if a flywheel is 1 m in diameter and if a belt over the wheel is rotating at the rate of 1000 m per minute, find the number of revolutions of the wheel per minute.

Click here to see answer by stanbon(57377) About Me 

Question 144732: given a circle with the radius of 3960 miles, assume that the distance AB is a straight line, and triangle AOB is a right triangle with a right angle at B. Angle O is 1/60 of 1 degree. Find the distance of AB.
Click here to see answer by Alan3354(30993) About Me 

Question 147254: Hi, this is Scott.
I really dont have any clue to what im supposed to do. Im trying to find trigonometric function values of acute angles and I really need help, cause i need to pass this section of my book by Monday.
Thank you for your time.
Scott Johnson

Click here to see answer by Alan3354(30993) About Me 
Question 147254: Hi, this is Scott.
I really dont have any clue to what im supposed to do. Im trying to find trigonometric function values of acute angles and I really need help, cause i need to pass this section of my book by Monday.
Thank you for your time.
Scott Johnson

Click here to see answer by jim_thompson5910(28595) About Me 
Question 147254: Hi, this is Scott.
I really dont have any clue to what im supposed to do. Im trying to find trigonometric function values of acute angles and I really need help, cause i need to pass this section of my book by Monday.
Thank you for your time.
Scott Johnson

Click here to see answer by mangopeeler07(462) About Me 

Question 147528: Find the x- and y- components of the vector of magnitude 36.0 and standard position angle 138 degree
Click here to see answer by stanbon(57377) About Me 

Question 147620: Please help me out, I don't know how to begin to approach these. :[
Thanks so much
Divide using synthetic division.
a) (x^2 + 7x + 12) divided by (x + 4)
b) (x^4 - 7x^2 + 9x - 10) divided by (x - 2)
c) (2x^4 - 11x^3 + 15x^2 + 6x - 18) divided by (x - 3)

Click here to see answer by jim_thompson5910(28595) About Me 

Question 147622: Help me please! I don't know what to do!
Identify the number of solutions or zeros.
a) g(s)= 8s^6 - 3s^4 - 11s^3 - 2s^2 +4
b) 4 - 7x= x^2 - 3x^5
Find all the zeros of the polynomial function.
a) f(x)= x^4 - 4x^3 - 20x^2 + 48x
b) h(x)= 2x^4 + x^3 + x^2 + x - 1

Click here to see answer by stanbon(57377) About Me 

Question 147621: Please help me, I'm so confused!
List the possible rational zeros of the function using the rational zero theorem.
a) f(x)= x^4 - 6x^3 + 8x^2 - 21
b) h(x)= 5x^4 + 12x^3 - 16x^2 + 10
c) g(x)= 9x^5 + 3x^3 + 7x - 4
Find all real zeros of the function.
g(x)= x^3 + 4x^2 - x - 4

Click here to see answer by jim_thompson5910(28595) About Me 

Question 147616: Please help me with these, I'm so confused!
Divide using polynomial long division.
a) (x^2 + 5x - 14) divided by (x-2)
b) (x^3 + x +30) divided by (x+3)
c) (8x^3 + 5x^2 - 12x + 10) divided by (x^2 - 3)
I have no idea how to even start them.

Click here to see answer by scott8148(6628) About Me 
Question 147616: Please help me with these, I'm so confused!
Divide using polynomial long division.
a) (x^2 + 5x - 14) divided by (x-2)
b) (x^3 + x +30) divided by (x+3)
c) (8x^3 + 5x^2 - 12x + 10) divided by (x^2 - 3)
I have no idea how to even start them.

Click here to see answer by jim_thompson5910(28595) About Me 

Question 147777: 1. A bell rope, passing through the ceiling above, just barely reaches the belfry floor. When one pulls the rope to the wall, keeping the rope taut, it reaches a point that is three inches above the floor. It is four feet from the wall to the rope when the rope is hanging freely. How high is the ceiling?

Click here to see answer by jim_thompson5910(28595) About Me 

Question 147778: 2. When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is SAndy, to the nearest inch?
Click here to see answer by jim_thompson5910(28595) About Me 

Question 147781: 1. A bell rope, passing through the ceiling above, just barely reaches the belfry floor. When one pulls the rope to the wall, keeping the rope taut, it reaches a point that is three inches above the floor. It is four feet from the wall to the rope when the rope is hanging freely. How high is the ceiling?

Click here to see answer by jim_thompson5910(28595) About Me 

Question 147846: trig identities- i need help proving that this identity is true
(sin2x/ 1+cos2x) * (cosx/1+cosx) = tan(x/2)

Click here to see answer by vleith(2825) About Me 
Question 147846: trig identities- i need help proving that this identity is true
(sin2x/ 1+cos2x) * (cosx/1+cosx) = tan(x/2)

Click here to see answer by Nate(3500) About Me 

Question 147843: this is trig identities, if you could please help me prove the following identity true
sin2x / 1-cos2x = 2csc2x-tan

i hope this reads clearly
the left side of the equation is sin2x over 1-cos2x

Click here to see answer by Fombitz(13828) About Me 

Question 147948: The foot of a ladder is 12 feet from the wall of a house. The angle formed by the ladder and the ground is 50 degrees.
18. In the figure above, how tall is the ladder?

A. 18.67'
B. 20'
C. 16.3'
D. 19.4'
E. 25'

Click here to see answer by nerdybill(6962) About Me 

Question 147992: Two office towers are 50 meters apart. From the 14th floor of the shorter tower, the angle of elevation to the top of the other tower is 33 degrees and the angle of depression to the base of the other tower is 39 degrees.
a) Find the height of the taller tower.
b) Explain how you used trigonometry to find the answer.

Click here to see answer by stanbon(57377) About Me 

Question 148137: 13. Atiba wants to measure the width of the Hudson River. Standing under a tree T on the river bank, Atiba sights a rock at the nearest point R on the opposite bank. Then Atiba walks to a point P on the river bank that is 50 meters from T, and makes RTP a right angle. Atiba then measures RPT and obtains 76.8 degrees. How wide is the river?
Click here to see answer by jim_thompson5910(28595) About Me 

Question 148154: 2. Out for a walk in Chicago, Morgan measured the angle of elevation to the distant Sears Tower, and got 3.6 degrees. After walking one km directly toward the building, Morgan found that the angle of elevation had increased to 4.2 degrees. Use this information to estimate the height of the Sears Tower and how far Morgan is from it after walking toward the building.

Click here to see answer by jim_thompson5910(28595) About Me 

Question 148144: Hi,
Looking for help with these problems.
1: The equation of the line passing through the point (1,-2) and perpendicular to the line Y=(-2/3X)+(4/3)is?
2: Simplify the expression below (leave answer with positive exponents)
(7X^3Y/14XY^-2)^2 both numerator & denominator squared.
3: The trigonometric expression SinӨ+CotӨCosӨ
4: If SinӨ=(3/5) and Ө is in quadrant2 find Sin2Ө (Hint Sin2Ө=SinӨCosӨ)
Last one for trig! yes!
5: The point (-2,3) lies on the terminal side of an angle Ө in standard position. Find the exact value of Ө.
Thank YOU!!!!!!!!!!!!!!!!!!

Click here to see answer by stanbon(57377) About Me 

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, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585