Answer:
The minor arc HK is 60 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The inscribed angle is half that of the arc it comprises.
so

we have

substitute the given value


Remember that the measure of the minor arc must be less than 180 degrees
therefore
The minor arc HK is 60 degrees
<span>Formula for exponential decay is:
N = No * e^-kt
N = 1/2(45) = 22.5
No = 45
k = 0.1109
The solution to your problem is as follows:
Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.
22.5 = 45 * e^(-0.1109t)
1/2 = e^(-0.1109t)
ln(1/2) = -0.1109t
t = (ln(1/2))/(-0.1109) = 6.25 days
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
2/13
Step-by-step explanation:
In a deck of 52 cards, there are 2 sets of red cards. Diamonds and Hearts. In each set of red cards, there are 4 fives. If there are 2 sets, that means that there are 8 red fives in the deck of 52 cards. This means that the probability is 8/52 which is simplified into 2/13.
Let's say we wanted to subtract these measurements.
We can do the calculation exactly:
45.367 - 43.43 = 1.937
But let's take the idea that measurements were rounded to that last decimal place.
So 45.367 might be as small as 45.3665 or as large as 45.3675.
Similarly 43.43 might be as small as 43.425 or as large as 43.435.
So our difference may be as large as
45.3675 - 43.425 = 1.9425
or as small as
45.3665 - 43.435 = 1.9315
If we express our answer as 1.937 that means we're saying the true measurement is between 1.9365 and 1.9375. Since we determined our true measurement was between 1.9313 and 1.9425, the measurement with more digits overestimates the accuracy.
The usual rule is to when we add or subtract to express the result to the accuracy our least accurate measurement, here two decimal places.
We get 1.94 so an imputed range between 1.935 and 1.945. Our actual range doesn't exactly line up with this, so we're only approximating the error, but the approximate inaccuracy is maintained.
Answer: 18
Step-by-step explanation:
11/6 * 3/3 = 33/18
4/9 * 2/2 = 8/18
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