23.5584557678 = 23.56 <span>rounded to the nearest hundredth
hope it helps</span>
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Answer:
75
Step-by-step explanation:
For this, you need to solve a proportion-
3.4 x
----- = -----
1.8 39.75
3.4*39.75=135.15
135.15/1.8= 75.0833.....
75.0833.. is rounded to 75
Answer:
37.68 units³
Step-by-step explanation:
To calculate the volume of a cone, the formula is:
V = π x r² x ( h / 3 )
Simply input the corresponding numbers into the equation:
V = π x ( 2 )² x ( 9 / 3 )
V = π x 4 x ( 3 )
V = π x 12
V = 3.14 x 12
V = 37.68 units³
If we use 3.14 for pi, the answer comes out to 37.68 units³
