# Questions on Algebra: Trigonometry answered by real tutors!

Algebra ->  -> Questions on Algebra: Trigonometry answered by real tutors!      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Question 84904: Solve the trigonometric equation, using exact values when possible, where x is a real number such that 0 is less than or equal to x and less than 2pi. 2sin^2(x) - 6sin(x) - 3 = 0 Click here to see answer by jim_thompson5910(29613)

 Question 84942: The population P of a certain culture is expected to be given by a model p=100e^(rt) where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. Click here to see answer by ankor@dixie-net.com(16524)

 Question 84939: Greetings, My question is: The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A = Pert where r is expressed as a decimal. How many years will it take an initial investment of \$1,000 to grow to \$1,700 at the rate of 4.42% compounded continuously? Click here to see answer by stanbon(60771)

 Question 85001: The straight string of a kite makes a angle of elevation form the ground of 60 degrees. The length of the string is 400 feet. What is the the best approximation of the height if the kite? Click here to see answer by stanbon(60771)

 Question 85002: A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground? Click here to see answer by tutor_paul(493)

 Question 84973: What are the fundamental operations in counting numbers? Click here to see answer by tutorcecilia(2152)

 Question 85087: Find the exact solution to the equation 3^(x+5)=9x Click here to see answer by jim_thompson5910(29613)

 Question 85085: Please help with the problem Find an exponential function of the form f(x)= ba^x + c with y-intercept 2, horizontal asymptote y = -2, that passes throgh the point P(1,4). Click here to see answer by stanbon(60771)

 Question 85106: express the complex number -2 sqrt2 + 2 sqrt2i in the trigonometric form r(cos theta +i sin theta) or rcis(theta) Click here to see answer by stanbon(60771)

 Question 85105: determine m such that the two vectors 3i-9j and mi+2j are othogonal Click here to see answer by longjonsilver(2297)

 Question 85223: For the following equation, find the interval(s) where f(x) < 0 f(x) = 1/(x^2-2x-8) (–4, 2) (–2, 4) (2, 4) (2, 8) I can't figure this one out. I know it's probly easy for most but assistance would be great. Thanks Click here to see answer by stanbon(60771)

 Question 85201: Determine the amplitude, period, and phase shift of the function y=1/2sin (x+pi) and sketch one complete period of the graph of the function.. My Answer: Amplitude=1/2 Period=2pi Phase shift=pi/3 I'm having trouble understanding how to do the rest...thanks for your help in advance.. Click here to see answer by stanbon(60771)

 Question 85374: Give the exact value of: cot(-5pie/3) Give the exact value of: sec(420) can anybody help me and show me how to solve this. my math final is tomorrow! Click here to see answer by scianci(186)

 Question 85221: If f(x) = x(x – 1)(x – 4)2, use interval notation to give all values of x where f(x) > 0. a. (–∞, 0) ∪ (4, ∞) b . (–∞, 1) ∪ (4, ∞) c . (0, 1) ∪ (4, ∞) d . (–∞, 0) ∪ (1, 4) ∪ (4, ∞) I believe the answer is (–∞, 0) ∪ (4, ∞). Can someone please let me know if I'm right? thanks Click here to see answer by scianci(186)

 Question 85443: At 40 feet from the base of a light house, the angle of elevalation from the ground to the top of a light house is 40 degrees. Find the height of the light house. Click here to see answer by venugopalramana(3286)

 Question 85220: Greetings, Any help with the following would be appreciated. 1. The table shows several values of the function f(x) = -x^3 + x^2 -x + 2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero. x -2 , -1 , 0 , -1 , 2 f(x) 16 , ? , ? , ? , -4 Possible choices are: (0, 1) (1, 2) (0, 1) ∪ (2, ∞) (–∞, 0) ∪ (2, ∞) Click here to see answer by scianci(186)

 Question 85211: find the determinate of the matrix. Book shows below is 1 set or () (8+4a 4) (5+3a 3) Click here to see answer by venugopalramana(3286)

 Question 85210: evaluate the determinate |8 0 0| |-16 7 8| |8 4 5| Click here to see answer by scianci(186)

 Question 85458: find the hypotenuse of a right triangle whose legs are 4cm and 10cm Click here to see answer by scianci(186)

 Question 85664: if sinx=1, what is the value of csc x? Click here to see answer by Nate(3500)

 Question 85659: The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x. Click here to see answer by scianci(186)

 Question 85788: determine the value of y for: y = csc (pi/2) Click here to see answer by stanbon(60771)

 Question 85786: solve the equation, tan x=1, for the given interval of x: -pi/2 < x < pi/2 i think it is pi/4 but im not sure, thanks for the help.. Click here to see answer by stanbon(60771)

 Question 85784: sketch two periods of the function y= 3 sec x and graph a representation of your sketch. Thanks for the help! Click here to see answer by scianci(186)

 Question 86013: Can you please help me with this problem. I need to solve for the following angle. This question is from Algebra II, A Beka Book. The science club wants to find out the height of the school's flagpole. They found that if the rope attached to the top of the pole was lengthened, it formed an angle of 60 degrees with the ground, 14 ft. from the base of the pole. What is the length of the pole? Thank you so much for your help. Click here to see answer by tutor_paul(493)
 Question 86013: Can you please help me with this problem. I need to solve for the following angle. This question is from Algebra II, A Beka Book. The science club wants to find out the height of the school's flagpole. They found that if the rope attached to the top of the pole was lengthened, it formed an angle of 60 degrees with the ground, 14 ft. from the base of the pole. What is the length of the pole? Thank you so much for your help. Click here to see answer by bucky(2189)

 Question 86014: I supplied the following equation earlier today that I needed to solve for x: S=(1440*T)/(N*pi^2*D^2*x*acos((D-x)/D)) I have worked on it some more and substituted z for most of the variables. I now have this form. D-x-D*cos(z/x)=0 I am afraid it cannot be solved because I keep ending up with x in either cos or acos. Is there a solution? Click here to see answer by stanbon(60771)

 Question 85996: This is a problem I have run into here at work. I need to solve for x in the following equation. Thanks for the help. S=(1440*T)/(N*x*pi^2*D^2*acos((D-x)/D)) Click here to see answer by bucky(2189)

 Question 86087: Can someone show me a graph that represents y = 3 sec x? Click here to see answer by bucky(2189)

 Question 86148: Could you help with this problem? If /_A= 56 degrees 40' and b=22 ft., find c. I tried this formula- tan (A)= (opp/adj.) Thanks so much for your help. Click here to see answer by stanbon(60771)

 Question 86168: If b= 16.3 ft. and a=21.7 ft., find /_A. Thanks so much for your help. Click here to see answer by stanbon(60771)

 Question 86167: /_B= 25 degrees and c=12 cm, find b. Thank you so much for your help. Click here to see answer by stanbon(60771)

 Question 86015: Given Triangle ABC where a=12, b=10 and c=8 find the angles in degrees and minutes. Click here to see answer by psbhowmick(804)

 Question 84203: 82. A sprinkler system on a farm rotates 140 degrees and sprays water up to 35 meters. Draw a diagram that shows the region that can be irrigated by the sprinkler. Then find the area of the region. Click here to see answer by 303795(602)

 Question 86384: The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42' minutes. What is the length of the side adjacent to the given angle? Use "natural" trigonomic functions and round your answer to four significant digits. Click here to see answer by stanbon(60771)

 Question 86385: In an isoceles triangle each of the equal sides is 10 meters and the base is 16 meters. Find the vertex angle accurate to the nearest minute. Click here to see answer by Edwin McCravy(9717)

 Question 86487: I have a right triangle. a=2 and b=4 what does Cos(A)=? I am having trouble with the problem. I know Cos(A)= b/c so i have to figure out what c= i believe? Thanks for the help. Click here to see answer by Edwin McCravy(9717)