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Answer:
A
Step-by-step explanation:
according to tangent property
we get
Given that
Thus our equation is

substitute the given values

simplify multiplication:

simplify addition:

cancel 20 from both sides:

divide both sides by 2:

AN=CN
hence,CN=7
therefore our answer is A
Answer:
5.5
Step-by-step explanation:
The volume of a sphere is represented by the formula 4/3πr^3. So, if we set 4/3πr^3 equal to 2048/3, we can start solving. Start by multiplying both sides by 3/4, the reciprocal of 4/3 to get rid of the fraction. This gives us πr^3 = 512. Divide 512 by π to get 163.1 (when rounded to the nearest tenth). This leaves us with r^3 = 163.1; find the cubic root of 163.1, which is 5.5, to get r
(a more exact answer is 5.4631958645870141851784948846314)
Lets do this week by week
beginning pressure 45 pounds
end of week 1
45 *.06 = 2.7
45 - 2.7 = 42.3
end of week 2
42.3 * .06 = 2.538
42.3 - 2.538 = 39.762
end of week 3
39.762 *.06 = 2.38
39.762 - 2.38 = 37.37
end of week 4
37.37* .06 = 2.2425
37.37628 - 2.2425= 35.12
end of week 5
35.12 * .06 = 2.107
35.12 - 2.107 = 33.012
end of week 6
33.012* .06 = 1.98
33.012 - 1.98 =31.03
Here is the fast way to get to this answer.
do 1-.06 = .94
then do
45(.94)(.94)(.94)(.94)(.94)(.94) = 31.04