Is a cell in a pro phase prokaryotic or eukaryotic?
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The resultant vector is known to have made a 6.3-degree angle with the horizontal force, hence correct option is A.
<h3>How do you determine angle of the resultant vector ?</h3>The resultant angle between the vectors is given by
θ = =
Note that the two forces are said to have the magnitude of 17.3 and 42.5 pounds hence, the angle of the resultant vector is known to be:
= (6.453/58.55)
= 6.2886 degree
= 6.3 degree.
Therefore, in the above scenario, the resultant vector makes a 6.3-degree angle with the horizontal<em> </em>force.
See full question below
Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9
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<h3>Answer:</h3>
60 days
<h3>Explanation:</h3>Half-life is the amount of time it takes half of a substance to decay away.
Guess and Check
One method for solving half-life problems like this is to guess and check. To do this, we can continue to divide 475mg by 2 until we get to 30mg.
- 475 ÷ 2 = 237.5
- 237.5 ÷ 2 = 118.75
- 118.75 ÷ 2 = 59.375
- 59.375 ÷ 2 = 29.6875
As seen here, it takes approximately 4 half-lives for this sample of Ra-225 to decay to 30mg. Now, we can multiply 4 by the length of the half-life, 15 days.
- 4 * 15 = 60 days.
Fractions
Another way to solve this is to use fractions.
- 30 is about 1/16 of 475
- 16 is equivalent to
.
This means that it takes 4 half-lives for 475mg to decay to 30mg. Using the same method above, we can tell that 4 half-lives are 60 days.
Important Note
In this question, I rounded occasionally. So, not all of the values are exact, but they are all very close.