Recent content by Aaron H.

Got it, thanks. The angles of the 6-11-16 triangle are 138 deg, 15 deg, and 27 deg. I used the law of cosines. 27 deg is the angle between u and u + v.

Can you verify this? |u| = 6, |v| = 11, θ = 42 I drew the quadrilateral. From this, 138 deg captures (u + v). Law of cosines using 6, 11, and 138 deg. c = u + v = 15.97. Round to 16. 42 bisected = 21. Calculated answer (16, 21 deg), however, the answer key presents (16, 27 deg). I have no...

Homework Statement Given the magnitudes of vectors u and v and the angle θ between them, find sum of u + v. Give the magnitude to the nearest tenth when necessary and give the direction by specifying the angle that the resultant makes with u to the nearest degree. Homework Equations...

If I solve for y, I get -3x/7 = y, giving me side lengths 3 and 7 in quadrant II. using Pythagorean theorem, I get sqrt (58) for the hypotenuse. for quadrant 3: sin θ = -3sqrt(58)/58 cos θ = -7sqrt(58)/58 tan θ = 3/7 Is this correct?

Homework Statement The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ. Homework Equations 3x + 7y = 0; quadrant III The Attempt at a Solution The line does not go through the third quadrant. The course...

Homework Statement Solve, finding all solutions in [0, 2pi)Homework Equations sqrt (cot x) = (3)^(1/4) The Attempt at a Solution [sqrt (cot x) = (3)^(1/4)]^4 = sqrt [cot^2 x = 3] = cot x = +/- sqrt (3) x = pi/6, 5pi/6, 7pi/6, 11pi/6 the answer choices to this problem only have two...

cos(3x)cos(x) - six(x)sin(3x) cos (4x) cos^2 2x - sin^2 2x Thanks all.

Homework Statement Prove the identity. Homework Equations http://postimage.org/image/vjhwki1ax/ The Attempt at a Solution http://s13.postimage.org/jkhubi4lz/DSC03534.jpg

Thanks. I had thought of that but I wasn't sure about it. So I guess the idea here is to, when given a fraction for a group, find the fraction that when added would make the sum of the two a whole number. Fractions are decimal numbers, after all. Percentages come to mind as well.

http://i49.tinypic.com/2wqu986.png I don't understand this example. It's from an SAT math study guide. I understand that to find the fraction of the group that is both girls and seniors, 2/3 is multiplied times 2/5. Why is A + B equal to 4/9? Same with A + C.

Hmm, an exception. Thanks.

Homework Statement Find the exact value of: sin (-5∏/12) 2. The attempt at a solution sin (-45° + -30°) = sin -45° cos -30° + cos -45° sin -30° = (sqrt (2) / 2 )(sqrt (3) / 2 ) + (sqrt (2) / 2)(1 / 2) = (sqrt (6) + sqrt (2)) / 4 However, the book has (-sqrt (6) -...

Homework Statement Write a balanced net ionic equation for the following chemical reaction Homework Equations Cr^{3+} + ___NH3 (aq) + ____H2O (l) → Cr(OH)3 (s) + ___NH4^{+} (aq)The Attempt at a Solution The balanced molecular equation is Cr^{3+} + 3 NH3 (aq) + 3 H2O (l) → Cr(OH)3 (s) +...