She should navigate at 45° 34' 22.7856" to go to Island C.
Given that Susan is on vacation at a tropical bay that has three islands, and she rents a boat on Island A and plans to navigate to Island C, which is 8 miles away, to determine, based on the figure below, at what angle should she navigate to go to Island C, the following calculation must be carried out, applying the cosine law:
- 11^2 = 8^2 + 15^2 - (2 x 8 x 15) x cos A
- Cos A = (8^2 + 15^2 - 11^2) / (2x8x15)
- A = arc cos (8^2 + 15^2 - 11^2) / (2x8x15)
- A = arc cos (64 + 225 - 121) / 240
- A = arc cos (168 / 240)
- A = arc cos 0.7
- A = 45.572996
Therefore, she should navigate at 45° 34' 22.7856" to go to Island C.
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Answer:</h2>
The statement that is true about the radius of a sphere is:
The radius is a line segment from the center point to the surface of the sphere.
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Step-by-step explanation:</h2>
We know that the radius of a circle/sphere is a line segment that joins the center of circle/sphere to any point on the circumference/ surface of the circle/sphere.
Also, in a circle the radius is the length such that each point on the circumference are equidistant from the center of the circle.
The question has missing diagram, diagram is in the attachment.
Answer:
The length of the actual swimming pool is 50 m.
Step-by-step explanation:
Given in the diagram;
Width = 7.5 cm
Length = 15 cm
Actual width of the pool = 25 m
we have to find the actual length of the swimming pool.
Solution,
Firstly we will find out the scale of the swimming pool.
since, the actual width = 25 m
width in the diagram = 7.5 cm
That means,
So the scale is
Now the length in the diagram = 15 cm
Then the actual is calculated by multiplying 15 cm to 3.33 m.
The actual length =
Hence The length of the actual swimming pool is 50 m.
Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The p is 0.8
The significance level, α = 0.1 is , which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.