Answer:
97m
Step-by-step explanation:
From the image below we solve using pythagoras's theorem
x^2 = 72^2 + 65^2
x^2 = 5184 + 4225
x^2 = 9408
x = 97 m.
Further explanation is shown 8n the image.
Answer: 14.88 is the answer
Step-by-step explanation:
Answer:
The correct complex numbers would be, -2 - 4i and 2 + 2i
(−2 − 4i) − (2 + 2i) = -4 - 6i
Step-by-step explanation:
(−2 − 4i) − (2 + 2i)
Subtract 2 + 2i from −2 − 4i by subtracting corresponding real and imaginary parts.
−2 − 2 + (−4 − 2)i
Subtract 2 from −2. Subtract 2 from −4.
-4 - 6i
So, the correct complex numbers would be, -2 - 4i and 2 + 2i
Answer:
w = (12p - 7) / 2
Step-by-step explanation:
p = (2w + 7) / 12
12p = 2w + 7
2w = 12p - 7
w = (12p - 7) / 2
The dot product is used to determine the magnitude of the resultant vector of two component vectors. It is expressed as a·b. It does not literally mean that you multiply their values. Instead, you multiply their matrices. However, since we cannot find matrices, let's just find the resultant vector through theorems involving triangles. By cosine law:
R = √[a² + b² - 2abcos(3π/4)]
R = √[60² + 30² - 2*60*30*cos(3π/4)]
R = 83.94
Thus, a·b = 83.94