Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
. We begin by dividing both sides by 70 to get:
and then take the natural log of both sides:
which allows us to bring down the exponent to the front on the right side:
. We divide both sides by ln(.5) to get:
and then multiply both sides by 24 to get:
t = 4.8 years
The value of x is 91.2 degrees if Larry is reroofing his house. each side of the roof measures 14 feet from the eave to the ridge.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a triangle shown in the picture:
We can find the angle using cos law:
After solving:
x = 91.2 degree
Thus, the value of x is 91.2 degrees if Larry is reroofing his house. each side of the roof measures 14 feet from the eave to the ridge.
Learn more about the triangle here:
brainly.com/question/25813512
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Answer:
The number of questions in sixth assignment must be less than or equal to 28.
Step-by-step explanation:
The number of questions in first five assignments are 11,10,13,14 and 14.
It is given that Mrs hawk assigns her students an average of no more than 15 questions on each assignment. Therefore the average of six assignments is less than or equal to 15 questions.
Let the number of questions in sixth assignment be x
Average of six assignments are
Since the average of questions is no more than 15, therefore
Therefore the number of questions in sixth assignment must be less than or equal to 28.
Answer:
905.26
Step-by-step explanation:
905.255
We are rounding to the hundredths place, so we need to look at the thousandths place. That digit is also a 5. 5>= 5 so we need to round the 5 in the hundredths place up to a 6
905.255 rounds to 905.26