The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
<span>You want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?</span>
1/2, 3/6, 4/8, 5/10, etc.
20/45 would be 4/9 in simplest form. hope that helped
