In determining safe speed of a vessel we must consider visibility, traffic density etc.
<h3>What is safe speed?</h3>
The safe speed of a vessel is the maximum speed the vessel can be operated to avoid hazards such as collision, damage of vessel, etc.
<h3>Factors considered when determining safe speed of vessels</h3>
In determining safe speed of a vessel we must consider the following factors such as;
- Weather condition, eg visibility
- Traffic density,
- Background light at night, etc
Thus, in determining safe speed of a vessel we must consider visibility, traffic density etc.
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health insurance is a benefit
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
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The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
<h3>What are the rules for Ratio Test for Convergence?</h3>
The rules are:
- If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
- The test is inconclusive if the limit is equal to 1.
- The series is divergent if the limit is greater than 1.
Using this knowledge, we are able to state that
- A is not conclusive.
- C's convergence is absolute.
- There is divergence with D and E.
- B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.
The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
Please see the attached for the full question and the link below for more about Ratio Test for Convergence:
brainly.com/question/16618162
Answer:
D
Explanation:
Our answer choices are:
- A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.
- A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
- A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
Let's try the first one. We can just choose any temperature and then use the number 1 larger than it; let's do F = 10:
C = (5/9) * (10 - 32) = (5/9) * (-22) ≈ -12.2
When F = 10 + 1 = 11:
C = (5/9) * (11 - 32) = (5/9) * (-21) ≈ -11.7
We see that indeed, -11.7 - (-12.2) ≈ 0.56 ≈ 5/9, so the first is correct.
For the second, let's see what happens when C = 10 and when C = 11:
10 = (5/9) * (F - 32)
F = 50
11 = (5/9) * (F - 32)
F = 51.8
Again we see that indeed 51.8 - 50 = 1.8
So, the second choice is also correct.
Thus, the answer is D.
