Find the area of the shaded region. Express your answer in terms of \piπ and do not round any numbers.
1 answer:
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Answer:
The rate of jet in still air is 850 mile per hour
The rate of jetstream is 150 mile per hour.
Step-by-step explanation:
Given as :
The distance cover against jetstream = 5600 miles
The time taken against Jetstream = 8 hours
The distance cover with jetstream = 4000 miles
The time taken with the jetstream = 4 hours
Now , let The speed of jet in still air = x mph
The speed of jetstream = y mph
As , Speed =
So, According to question
x - y =
Or, x - y = 700 mph
x + y =
Or, x + y = 1000 mph
So, ( x - y ) + ( x + y ) = 700 + 1000
Or, 2 x = 1700
∴ x = = 850 mph
And y = 1000 - 850 = 150 mph
Hence The rate of jet in still air is 850 mile per hour and The rate of jetstream is 150 mile per hour. Answer
Answer:
<h3>Postulates and Theorems</h3>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven. Listed below are six postulates and the theorems that can be proven from these postulates.
Postulate 1: A line contains at least two points.
Postulate 2: A plane contains at least three noncollinear points.
Postulate 3: Through any two points, there is exactly one line.
Postulate 4: Through any three noncollinear points, there is exactly one plane.
Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.
Postulate 6: If two planes intersect, then their intersection is a line.
Theorem 1: If two lines intersect, then they intersect in exactly one point.
Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.
Theorem 3: If two lines intersect, then exactly one plane contains both lines.
Example 1: State the postulate or theorem you would use to justify the statement made about each figure.
(a)
Through any three noncollinear points, there is exactly one plane (Postulate 4).
(b)
Through any two points, there is exactly one line (Postulate 3).
(c)
If two points lie in a plane, then the line joining them lies in that plane (Postulate 5).
(d)
If two planes intersect, then their intersection is a line (Postulate 6).
(e)
A line contains at least two points (Postulate 1).
(f)
If two lines intersect, then exactly one plane contains both lines (Theorem 3).
(g)
If a point lies outside a line, then exactly one plane contains both the line and the point (Theorem 2).
(h)
If two lines intersect, then they intersect in exactly one point (Theorem 1).
