Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
<u>Find fraction of snappers and catfish:</u>
1/3 + 2/9 = 3/9 + 2/9 = 5/9
<u>Find fraction of goldfish:</u>
1 - 5/9 = 4/9
4/9 = 40 goldfish
1/9 = 40 ÷ 4 = 10
9/9 = 10 x 9 = 90
Answer: 90 fish in the tank
Answer:
Step-by-step explanation:
tHE center is F
the radio is from f to h
the chord is from r to U
and the diameter is from N to M
$104 because 30% of $80 is $24 and $80+$24 is $124 so...... that's what I got
Answer:
Therefore values of a and b are
Step-by-step explanation:
Rewrite 
in the form
where a and b are integers,
To Find:
a = ?
b = ?
Solution:
..............Given
Which can be written as
Adding half coefficient of X square on both the side we get
...................( 1 )
By identity we have (A - B)² =A² - 2AB + B²
Therefore,
Substituting in equation 1 we get
Which is in the form of
On comparing we get
a = 3 and b = 2
Therefore values of a and b are
