Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
Answer:
x = 14.25
Step-by-step explanation:
Start with a^2 + b^2 = c^2
a = 11
b = x
c = 18
plug in and solve
11^2 + x^2 = 18^2
121 + x^2 = 324 - Simplify
x^2 = 203 - subtract 121 from both sides
x = 14.247 rounds to 14.25 - square root on both sides
Answer:
So the answer for this case would be n=107 rounded up to the nearest integer
Step-by-step explanation:
Information given
the sample mean
the sample deviation
the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as estimator of the real population deviation the sample deviation for this case
/ The critical value for 99% of confidence interval is given by
, replacing into formula (b) we got:
So the answer for this case would be n=107 rounded up to the nearest integer
Answer:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:

For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
14. (n-5)*4+7
15. No, this would not be neccesary because if I were to distribute 1/2 to both 4 and 6, I know that I would get half of those numbers which would give me 2x+3. I also know that if I distribute 1/3 to both 9 and 24, I would get 1/3 of each number which would be 3 and 8.