Answer:
54π
Step-by-step explanation:
To find the volume of a cylinder, you multiply the area of the base times the height.
The formula for the area of a circle is πr², so the base is 9π units².
Multiplying that by the height (6 units) gives you 54π units³.
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
There is a 2 in 4 chance for a red shirt
there is a 1 in 2 chance for blue pants
There is (I think) a 1 in 6 chance for the chosen pain to be worn.
Answer:40c^2-46c -14
Step-by-step explanation:
(8c+2)*(5c-7)
8c*(5c-7)+2(5c-7)
40c^2-56c+10c-14
40c^2-46c-14
Answer:
D
Step-by-step explanation:
D's equation shows y equals 7.8 times x. 7.8 is the unit rate.
