Answer:
A
Step-by-step explanation:
Answer:
x-1
Step-by-step explanation:
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

Substitute:

Simplify:

Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:

The volume of the solid is π/40 cubic units.
Answer:
9.18 feet
Step-by-step explanation:
dimensions of whole area = (20 + x)(34 + x)
= 680 + 54x + x^2
where x is the width of the flower bed.
we know that x^2 + 54x + 680 = 1200
x^2 + 54x - 520 = 0
x = 9.18 or x = -63.18
width of flower bed cannot be negative therefore it is width 9.18 feet