The rate of change is 1.5
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.
Answer:
C. 342
Step-by-step explanation:
This year, 150% of last year's tickets were sold.
Last year, 228 tickets were sold.
150% as a fraction is 150/100
To find the amount of tickets sold this year, we take the 150/100 and multiply it by 228:
150/100*228= 342 tickets
16÷4/5 is 0.8
Step-by-step explanation:
i did it in a computer
From 1st equation
d + e = 2
d = 2 - e
From 2nd equation, subtitute d with 2 - e
d - e = 4
2 - e - e = 4
2 - 2e = 4
-2e = 2
e = -1
Find d
d = 2 - e
d = 2 - (-1)
d = 3
The solution is (3,-1)