Answer: 45
Step-by-step explanation:
S is 45 (labelled on the diagram)
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
Step-by-step explanation:
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Answer:
No, because the sample was randomly selected.
Step-by-step explanation:
In this example, the main element that we need to focus on is the way in which the sample was determined. We learn that the sample was taken in California with 1000 people. However, this sample was random, and the survey was conducted in both English and Spanish. The fact that this was a random sample means that it is representative of the population. The size of the population does not affect the accuracy of a random sample.
