This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
The first thing we should know in this case is that by definition the flow of liquid is given by:
Q = V / t
Where,
V: volume
t: time
The volume of the cone is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting the values we have:
V = (3.14 * ((3) ^ 2) * 7) / (3)
V = 65.94 in ^ 3
We now turn off the time of the flow equation:
t = V / Q
Substituting values:
t = (65.94) / (14)
t = 4.71 minutes
Answer:
It will take for all the liquid in the funnel to pass through the nozzle about:
t = 4.71 minutes
Answer:
Step-by-step explanation:
- 2/3x - 9 - 2x + 2 = 1
- 2/3x - 2x - 7 = 1
- 2/3x - 6/3x - 7 = 1
- -4/3x - 7 = 1
Correct option is B
8.180-65-90=25
180-80-60=40
So, 180-40-25=115.
9.(180-40)divide by 2=70
X=180-70
X=110
10.180-118=62
So, 180-62-90
=28
11.not confident yet
12.180-60=120
13. (180-66)divide by 2 =57
180-57=123
(180-123)divide by 2
=28.5
14.180-68-44=68
180-58-73=49
So,180-68-49=63
(Its the same)
Answer:
x = 60°
Step-by-step explanation:
since, the triangles are complementary the sum of their measures will be 90°
now,
