The formula for finding the area of a rug:
![A = s^2](https://tex.z-dn.net/?f=A%20%3D%20s%5E2)
Plugging in the values we know, we can solve for s.
![79 = s^2](https://tex.z-dn.net/?f=79%20%3D%20s%5E2)
Take the square root of both sides.
![\sqrt{79} = s](https://tex.z-dn.net/?f=%5Csqrt%7B79%7D%20%3D%20s)
![\sqrt{79}](https://tex.z-dn.net/?f=%5Csqrt%7B79%7D)
is approximately equal to 8.89
So, 8.89 feet is the answer.
Answer:
5x+3. Explanation: (f+g)(x)=f( x)+g(x). =2x−6+3x+9=5x+3
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=−8/3
Decimal Form:
x=−2.6
Mixed Number Form:
x=−2 2/3
hope this helps
Answer:
dV ≈ 927.4 cm³
Step-by-step explanation:
Formula for volume of a cylinder is;
V = πr²h
Using differentials, we have;
dV = (dV/dr)dr + (dV/dh)dh
Now, dV/dr = 2πrh
dV/dh = πr²
Thus, at r = 24/2 = 12 cm
And at h = 60 cm, we have;
dV/dr = 2π(12 × 60)
dV/dr = 4523.89 cm²
Also;
dV/dh = π(12)²
dV/dh = 452.39 cm²
the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2
the metal in the sides is 0.05 cm thick. Thus; dh = 0.05
Thus;
dV = (4523.89 × 0.2) + (452.39 × 0.05)
dV ≈ 927.4 cm³