Answer:
Please find the solution in the image attached below.
Step-by-step explanation:
Tcos60 -2T sin(90-theta) = 0
Tcos60 = 2T(cos theta)
cos 60 = 2cos theta
cos60 = 2cos theta
1/4 = cos theta
theta = 75.5
So the angle to the vertical = 90-75.5 = 14.5
S
Resolving perpendicular
Tsin60 + 2Tsin75.5 - 2g = 0
T(sin 60 + 2sin75.5) = 2g
T = 19.6/sin 60 + 2sin75.5
T = 19.6/1.936 + 0.866
T = 19.6/2.802 = 7.0N
Hope this helps!
Answer:
63
Step-by-step explanation:
Ty worked 4 hours ad earned $28. This means that he earned $7 per hour. So, 7 times 9 is equal to 63. Which means that Ty will earns $63 in 9 hours.
Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.
Pythagoras theorem,
--->(1)
Given,
at x=3
Put x=3 in Pythagoras theorem equation (1)


= 135
y = 11.61
Derive equation (1) w.r.t to 't'
---->(2)
substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
12 + 23.22
= 0


Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Learn more about Pythagoras theorem here
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Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Answer:
x=1
Step-by-step explanation:
7x - 20 = 2x - 3(3x + 2)
Distribute
7x -20 = 2x -9x -6
Combine like terms
7x-20 =-7x -6
Add 7x to each side
7x+7x-20 =-7x+7x -6
14x -20 = -6
Add 20 to each side
14x-20+20 =-6+20
14x = 14
Divide by 14
14x/14=14/14
x=1