Solve the formula for the specified variable. I don't understand the following:
s=2*pi*r*h + 2*pi*r^2 for h
-the options for this one are:
a. h=(s)/(2*pi*r)-1
b. h=2*pi(s-r)
c. h=(s-2*pi*r^2)/2*pi*r
d.h=s-r
A=P(1+nr) for r
-the options for this one are:
a. r= a-p/pn
b.r=a/n
c.r= p-a/pn
d. r= pn/a-p
1. Check whether you copied option "a" correctly. Unless the last term is r instead of 1, none of the choices are correct.
2. Unless there are parentheses around (a-p), noe of the choices are correct. Try to avoid mixing up upper and lower case sumbols.
For the first equation, s = 2πrh + 2πr², we want to solve for h. Here's how we can do that:
Step 1: Start by isolating the term with h on one side of the equation.
Subtract 2πr² from both sides:
s - 2πr² = 2πrh
Step 2: Next, divide both sides of the equation by 2πr to solve for h.
(s - 2πr²) / (2πr) = h
Step 3: Simplify the right-hand side, if possible.
h = (s - 2πr²) / (2πr)
So, the correct answer for solving the equation s = 2πrh + 2πr² for h is:
c. h = (s - 2πr²) / (2πr)
Now, let's move on to the second equation, A = P(1 + nr) for r.
Step 1: Start isolating the term with r on one side of the equation.
Divide both sides of the equation by P:
A / P = 1 + nr
Step 2: Rewrite the left-hand side as a fraction (A/P) and isolate the term with r.
A / P - 1 = nr
Step 3: Finally, divide both sides of the equation by n to solve for r.
(A / P - 1) / n = r
So, the correct answer for solving the equation A = P(1 + nr) for r is:
b. r = (A / P - 1) / n
Please note the corrections mentioned at the beginning of the response regarding the provided answer choices.