Answer:
If we have a cone-shape candle with r=2 cm and h=3 cm, then the amount of paper needed is 18.84 cm^2 and the amount of plastic needed is 12.56 cm^2.
Step-by-step explanation:
<em>The question is incomplete: no numerical values for the dimensions of the cone are given.</em>
<em />
A right cone is defined by the radius r of the base and the height h.
The base area is the area of a circle with radius r:
The lateral area is calculated as:
As the values for r and h are not given, we will use an example with r=2 and h=3.
Then, the amount of paper needed is:
The amount of plastic needed is:
The <em><u>correct answer</u></em> is:
non-extraneous
Explanation:
An extraneous solution is one that we arrive at that will not work in the equation. For rational equations such as we have, extraneous solutions are ones that will cause the denominator to be 0. For ours, that would mean x=-5.
The equation we have is:
We will multiply everything by (x+5) in order to get that off the bottom of the fractions:
Multiply all terms by 5 to eliminate the fraction:
Combine like terms:
20+x = 10
Subtract 20 from each side:
20+x-20 = 10-20
x = -10
Since this is not -5, this is not an extraneous solution.
Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
Answer:
Step-by-step explanation: