291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.
Answer: a = 8; b = 15; c = 17
Step-by-step explanation:
c = b + 2 and c = 2a + 1
b = c − 2 and a = 
c² = b² + a²






c = 1 or c = 17
If c = 1 then b = 1 - 2 = -1, that's not possible
So x = 17
b = 17 - 2 = 15
a = 
Length sides of the triangle are 17 cm, 15 cm and 8 cm.
I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

This shows that this is correct.
Hope this helped! Again, some of this was from a site, not from me.
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:

Taking logs on both sides

This gives

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years
To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664
Answer: 0.8664