The figure below shows a shaded rectangular region inside a large rectangle: A rectangle of length 10 units and width 5 units is
1 answer:
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Answer:
,
,
Step-by-step explanation:
The perimeter covered by the electric fence in meters is:
The area of the rectangle is:
Let differentiate the previous equation and equates to zero:
The critical point is:
By the Second Derivative Text, it is proved that critical point lead to a maximum:
The other side of the rectangle is:
The largest area than can be enclosed is:
The dimensions of the triangle are:
Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is .
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>