Answer:
7.45
Step-by-step explanation:
We are given a right triangle with one side length known and an angle know so we can use some trigonometry.
You need to find the hypotenuse so you are going to use either sine or cosine.
Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,
cos(20) = 7/h
=>h = 7/cos(20)
=> 7.44924
=> 7.45
X1-y1
x2-y2
-4-3
0+30
-6
30
the answer would be -0.2
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
Learn more about algebra:
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Answer:
0.1458333333 i think
Step-by-step explanation: