# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 93215: This is from a worksheet: Sorry my equation editor is not letting me copy and paste the signs... hope this is not too hard to read. Thanks in advance!! If sin 60 degrees = sq rt 3/2 and cos 60 degrees = 1/2, what are the values of tan 60 degrees = sec 60 degrees = cot 60 degrees = Then If csc (acute angle)= 3 and sec (acute angle) = 3 sqrt 2 over 4; what are the values of sin (acute angle) = tan (acute angle) = cos squared (acute angle) = Click here to see answer by Nate(3500)

 Question 93274: An airplane is flying 8,000 feet above the level ground. The angle of depression from the plane to the base of the tree is 16.4 degrees. How far horizontally must the plane fly to be directly above the tree? Click here to see answer by stanbon(60771)

 Question 93356: For the function defined by f(x)=5x-4, find the formula for f^-1(x). Click here to see answer by praseenakos@yahoo.com(507)

 Question 93361: The decibel level of sound is given by: D= 10 log(I/10^-12) where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4x 10^-10 watts per square meter. Click here to see answer by bucky(2189)

 Question 93358: Find the number: log lower case5 (1/5) Click here to see answer by bucky(2189)

 Question 93513: Write the expression log lower case a (y+5)+2log lower case a(x+1) as one logarithm. Click here to see answer by stanbon(60771)

 Question 93514: If a piece of real estate purchased for \$75,000 in 1998 appreciates at the rate og 6% per year, then its value t years after the purchase will be f(f)=75,000(1.06^t). According to this model, by how much will the value of this piece of property increase between the years 2005 and 2008? Click here to see answer by stanbon(60771)

 Question 93512: 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=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r. Click here to see answer by stanbon(60771)

 Question 93522: What is the transpose of the following matrix? 3 1 2 2 0 5 1 -1 6 Click here to see answer by stanbon(60771)

 Question 93502: State the degree of the following polynomial. 8x3 + 6x2y + 4xy3 - 2y4 a)1 b)2 c)3 d)4 e)5 Which of the following would be classified as a trinomial? a)x2 + 2x b)1 - x - x5 c)3xy d)(xy)z e)all of these Simplify (4x3y3 - 2x2y2 + 4) - (-3x3y3 - 5x2y2 - 8) a)7x3y3 + 3x2y2 + 12 b)x3y3 - 7x2y2 - 4 c)7x3y3 - 7x2y2 - 4 d)x3y3 + 3x2y2 + 12 e)none of these If A=3x2-2x-7 and B=x2+9, then what is their sum, A+B? a)5x2-2x+2 b)4x2-2x-2 c)4x2+2 d)4x2-2x+2 e)none of these Multiply and simplify. 6x2(2x3 - 8x + 5) a)12x5 - 48x3+30x2 b)8x5 - 14x3 + 11x2 c)12x6 - 48x2 + 30x d)12x6 - 18x2 e)none of these Click here to see answer by jayanthihemkos@yahoo.com(87)

 Question 93558: What is the smallest positive coterminal angle of 53pi/6? Express answer in radian measure in terms of pi. Click here to see answer by Edwin McCravy(9716)

 Question 93511: 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(16523)

 Question 93521: An artist is painting a supply of small paintings to sell at an arts festival. He can paint three landscapes per hour and two seascapes. He can frame five paintings per hour. He has 50 hours available for painting and 25 hours for framing. How many of each type of painting should he paint and frame in order to maximize the total value of the paintings. He receives \$25 each for the landscapes and \$30 each for the seascapes. Click here to see answer by ankor@dixie-net.com(16523)

 Question 93618: A triangle has side 18, 27, and 36. can some one show/tell me what is its area?? Click here to see answer by edjones(7794)

 Question 93639: i dont exactly know what theis problem would be identified as, so i put it as test. at a distance of 10.8 meters from a tree, the angle of elevation to the top of the tree is 26 degrees. how tall is the tree. not from a textbook*** Click here to see answer by funmath(2926)

 Question 93617: please help me find the area of triangle ABC if a = 40 ft., b = 25ft. and angle C = 30 degrees Click here to see answer by edjones(7794)

 Question 93616: If a given triangle ABC with a = 12, b = 10 and c = 8, please help me find the angles in minutes. angle A = _____________ angle B = _____________ angle C = _____________ Click here to see answer by ankor@dixie-net.com(16523)

 Question 93816: Indicate whether the problem is true or false but show all work sin 0(with a dash through it) = 1/csc 0(with a dash through it)) Click here to see answer by stanbon(60771)

 Question 93819: How do you show that sin0 = cos0 tan0 ??? Click here to see answer by stanbon(60771)

 Question 93817: someone show me how to solve this?? If an observer is 200ft from a building and the angle of elevation to the top of a building is 60 degrees, what is the height of the building?can Click here to see answer by stanbon(60771)

 Question 93810: If sin A < 0 and tan A < 0, then A is in what quadrant? Can someone help me out? Click here to see answer by scott8148(6628)

 Question 93833: How do I figure out the value for x if I know that sin x = 3.436491673 and the sin x = -0.4364916731? Click here to see answer by stanbon(60771)

 Question 93975: Prove the following identity: sin(2t) = 2 * ((cot(t))/(1 +cot^2(t))) Click here to see answer by edjones(7794)

 Question 93972: If sin (x) = 1/5, what does sec (x) equal? Click here to see answer by edjones(7794)

 Question 94003: okay, i have found the: mean:77 mode:71 median:77 range:49 1st quartile: 65 3rd quartile: 90.5 Can someone help me find what the variance is and what is the standard deviation of the scores? Click here to see answer by Edwin McCravy(9716)

 Question 94020: how can i prove that tan x( cot x + tan x) = sec^2x Click here to see answer by Nate(3500)

 Question 94064: Give the amplitude and the period of each of the following: (a) y = 1/2 sin 3x (a)____________ (b) y = 3 cos 1/2x (b)____________ Click here to see answer by stanbon(60771)

 Question 93988: please help me Indicate whether the problem is true or false show how you got it sin25 degrees = sin155 degrees Click here to see answer by stanbon(60771)

 Question 94061: can some one Indicate whether each of the following functions is odd or even by writing " odd" or "even" on the blank line. (a) f(x)= sin x (b) f(x)= cos x (c) f(x)= 2 cot x (a)___________ (b)___________ (c)___________ Click here to see answer by Nate(3500)

 Question 93987: is the problem true or false?? please show me how you solved it tan20 degrees = cot70 degrees Click here to see answer by stanbon(60771)

 Question 94059: Please Find the exact value of the six trigonometric functions of 45 degrees. sin 45 degrees ______________ csc 45 degrees ______________ cos 45 degrees ______________ sec 45 degrees ______________ tan 45 degrees ______________ cot 45 degrees ______________ Click here to see answer by Nate(3500)

 Question 94055: Suppose there are 10 items on a true - false test. The person taking the test doesn't read the questions; he just answers each question radomly. What is the probablility of his guessing all answers correctly? Click here to see answer by checkley75(3666)

 Question 94052: Two marbles are drawn from a bag containing 6 white, 4 red, and 6 green marbles. Find the probability of both marbles being white. Click here to see answer by checkley75(3666)

 Question 94050: Suppose a contest offers \$1,000 to the person who can guess the winning four digit number. How many possibilities are there? Click here to see answer by checkley75(3666)

 Question 94049: how do u Calculate (little 10) C (little 6) Click here to see answer by checkley75(3666)

 Question 94058: If the laditude of Chicago is about 42 Degrees and the radius of the earth is about 4000 miles, how far is Chicago from the equator? (use pi = 3.1416) Click here to see answer by stanbon(60771)