Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below
<h3>Data obtained from the questio</h3>
- (p - 1/p) = 4
- p² + 1/p² = ?
<h3>How to determine the value of p² + 1/p²</h3>
(p - 1/p) = 4
Square both sides
(p - 1/p)² = (4)²
(p - 1/p)² = 16 ....(1)
Recall
(a - b)² = a² + b² - 2ab
Thus,
(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)
(p - 1/p)² = p² + 1/p² - 2
From equation (1) above,
(p - 1/p)² = 16
Therefore,
p² + 1/p² - 2 = 16
Rearrange
p² + 1/p² = 16 + 2
p² + 1/p² = 18
Thus, the value of p² + 1/p² is 18
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Given :
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.
Her tips averaged 18% of the total amount spent by all the groups of customers that day.
To Find :
Brianna's tip income earnings on Friday.
Solution :
Total amount of money spent by 12 groups :
P = $ 12×186 = $2232 .
She got tip of 18% of the total amount spent by all the groups of customers.

Brianna's tip income earnings on Friday is $446.4 .
Hence, this is the required solution.
Answer:
The horizontal distance from the plane to the person on the runway is 20408.16 ft.
Step-by-step explanation:
Consider the figure below,
Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner. The angle of elevation from the runway to the plane is 11.1°
BC is the horizontal distance from the plane to the person on the runway.
We have to find distance BC,
Using trigonometric ratio,

Here,
,Perpendicular AB = 4000


Solving for BC, we get,

(approx)
(approx)
Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft
1:16 or 5:80, if you're simplifying then all you do is divide denominator by numerator. then that's your simplified ratio
Answer:6hrs and &270
8hours and &360
9.5hours and&427.50
Step-by-step explanation: