Answer:
Step-by-step explanation:
1 .1 ( .1 repeating) =
Let x=0.1
Then 10x = 1.1111...
= 10 + 0.(1)
= 10+ x.
So, 9x=10 and lastly, x=
What is the value of x? Enter your answer in the box. units
1 answer:
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Answer:
2330.51 miles
Step-by-step explanation:
Given that the speed of the airplane = 610 mph.
The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.
So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.
As, distance = time x speed, so
The distance covered at 270 degrees, miles.
The distance covered at 310 degrees, miles.
Total distance covered, d, is the magnitude of the sum of vectors and
as shown in the figure.
The angle between the vectors and
,
degree.
Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},
miles
Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.
By definition, the unit vector of v = (a,b) is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is