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.

Subtract 50 from both sides:


hope this helps!
Given that

, we have for

the Taylor series expansion about 0 as

Replace

with

, so that the series is equivalent to

and notice that

Recall that for

, we have

which means

Answer:
144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.
Step-by-step explanation:
The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.