The net force acting on the crate is the sum of all the forces acting in the different directions on the crate, which is 176 N to the left.
<h3>What is net force?</h3>
The net force is defined as the sum of all the forces acting on an object.
From the figure given that,
Upward force = 440 N
Downward force = - 440 N
Rightward force = 176 N
Leftward Force = - 352 N
The net vertical force acting on the crate = Upward force + Downward force
= 440 N + (-440 N)
= 0 N
The net horizontal force acting on the crate = Rightward force + Leftward force
=176 N + (- 352 N)
= - 176 N
Hence, the net force acting on the crate is - 176 N, which is 176 N to the left.
To learn more about the net force from the given link:
brainly.com/question/24855755
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If x terminates in the fourth quadrant, then we know that sin(x) < 0 and cos(x) > 0. Given that sec(x) = 8, we immediately have
cos(x) = 1/sec(x) = 1/8
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
Then it follows that
sin(x) = -√(1 - cos²(x)) = -3√7/8
Now recall the double angle identities,
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
Then
sin(2x) = 2 (-3√7/8) (1/8) = -6√7/64 = -3√7/32
cos(2x) = (1/8)² - (-3√7/8)² = -62/64 = -31/32
By definition of tangent,
tan(x) = sin(x)/cos(x)
Then
tan(2x) = sin(2x)/cos(2x) = (=3√7/32) / (-31/32) = 3√7/31
To get the equivalent yearly increase of x% we use the compound formula given by:
A=P(1+r/100)^t
where:
A=amount, P=principle, r=rate, t=time
from the question:
A=£95000, P=£80000, r=x%, t=5 years
hence plugging the values we obtain:
95000=80000(1+x/100)^5
simplifying the above we obtain:
1.1875=(1+x/100)^5
1.03497=1+x/100
0.03497=x/100
thus
x=3.497~3.5%
The answer would be C. 8.
I would cross multiple the fractions (3*40) and (15 * x)
That would equal 15x= 120
Divide both sides by 15 and you get 8
Or
You could say: what number times 3 gives me 15? The answer would be 5 and then you would divide 40 by 5 to get 8.
Hope the explanation helps :)