Answer: the angle between the resultant vector and the vector of the 18 pound is 28°
Explanation:
given that data in the question; as its interpreted in the diagram below;
from the cosine rule, we know that;
a² = b² + c² - 2bc
so
(13)² = (6)² + (18)² - (2 × 6 × 18 ) cos∅
169 = 36 + 324 - 216cos∅
169 = 360 - 216cos∅
216cos∅ = 360 - 169
216cos∅ = 191
cos∅ = 0.8842
∅ = cos⁻¹ ( 0.8842 )
∅ = 27.8° ≈ 28° {nearest whole number}
Therefore the angle between the resultant vector and the vector of the 18 pound is 28°
Answer: 
Explanation:
According to Newton's law of universal gravitation:
Where:
is the module of the force exerted between both bodies
is the universal gravitation constant.
and 
are the masses of both bodies.
is the distance between both bodies
In this case we have two situations:
1) Two bags with masses 
and mutually exerting a gravitational attraction 
on each other:
(1)
(2)
(3)
2) Two bags with masses 
and 
mutually exerting a gravitational attraction 
on each other (assuming the distance between both bags is the same as situation 1):
(4)
(5)
(6)
Now, if we isolate 
from (3):
(7)
Substituting found in (7) in (6):
(8)
(9)
Simplifying, we finally get the expression for in terms of
:
Answer: Option (a) is the correct answer.
Explanation:
Global Positioning Systems (GPS) is a system which uses a network of satellites to construct maps. So, that it would be easy to trace location of a person, or to reach over a certain place.
It helps an individual by showing the route of destination wherever he/she wants to reach along with the total time to reach over the place.
Thus, GPS can determine the elevation of a given area and also it can determine latitude and longitude of a given area. As each GPS satellite broadcasts with a high power, narrow bandwidth, down link signal which can be received by our small hand held receiver antenna called mobile phone.
A GPS cannot determine the composition of soil on mountain ranges.
Thus, we can conclude that out of the given options, GPS can determine the composition of soil on mountain ranges is not true about the Global Positioning Systems (GPS).
- The four inner plants have shorter orbits slower spin ,no rings ,and they are made up of rock and metal
- The outer plants are made up of hydrogen and helium, so they are called gas giants
Explanation:
hope it is the right answer
