Answer:
The closest to the volume of cylinder is <u>63 in.³</u>.
Step-by-step explanation:
Given:
Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.
Now, to find the volume.
As circumference is given we get the radius by putting formula:
Circumference = 8 1/2 inches = 17/2 inches.
Let the radius be 
<em>Taking the value of π = 3.14.</em>
<em>Dividing both sides by 6.28 we get:</em>
So, radius = 1.35 inches.
Height = 11 inches.
Now, putting the formula to get the volume:
<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>
Therefore, the closest to the volume of cylinder is 63 in.³.
The answer is p=-2 because you add 5 to -17 and you get-12 then you do 6/-12 and you get -2
Answer:
Triangle 1 line segment AB and triangle 2 line segment BA correspond to each other
Step-by-step explanation:
Point b and point a don't correspond to anything else
triangle 1 and 2 are congruent my answer would be a 50/50 guess between C and D If it were me id risk it and go D but it is up to you.
The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
<h3>What is half-lives?</h3>
Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.
There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,
f=1-(70.3/100)=1-0.703
f=1-(70.3/100)=0.297
Now the fraction remaining can be given as,
f=(1/2)ⁿ
Here, n is the half life elapsed. Put the value of fraction remaining.
0.297=(1/2)ⁿ
n=1.75
The radioactive element carbon-14 has a half-life of total 5750 years. Thus,
Years=1.75*5750
Years=10062.5
Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
Learn more about the half lives here;
brainly.com/question/2320811
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