Answer:
s for length of either equal side
b for the unequal side
b=-2+2*(s+s) and 2s+b=40
b=2*2s-2
b=4s-2
2s+4s-2=40
6s-2=40
6s=42
s=7
b=4*7-2
b=28-2
b=26
Answer:
So the answer for this case would be n=220 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the population deviation
represent the margin of error
The margin of error for the true mean is given by this formula:
(a)
And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:
(b)
The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is
and the critical value would be
, replacing into formula (b) we got:
So the answer for this case would be n=220 rounded up to the nearest integer
19.2
To find the hypotenuse the equation would be: a^2 + b^2 = c^2.
12 squared is 144 and 15 squared is 225. Add them and you get 369. Then, square root 369 to isolate c. It'd be about 19.2
A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78
The radius is approximately 4 inches.