Answer:
The solution is correct.
Step-by-step explanation:
Im not sure howto explain it, but i just know that it's a.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.
![\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%20%3D%20%28x%2B2%29%28x-4%29%5Cimplies%200%3D%28x%2B2%29%28x-4%29%5Cimplies%20x%20%3D%20%5Cbegin%7Bcases%7D%20-2%5C%5C%204%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%5Cboxed%7B-2%7D%5Crule%5B0.35em%5D%7B7em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cdownarrow%20%7D%7B1%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B4%7D)
so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.
since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.
Answer: 60
Step-by-step explanation:
V = w h l = 3 x 5 x 4 = 60
Hope this helped, if not i can do the problem again :)!
Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is
Pr(3) = 0.5
<h3>Probability</h3>
Given Data
Sample Space
Total Sample size = 6
Probability of identifying 3 ingredient used is
Pr(3) = 3/6
Pr(3) = 1/2
Hence the Probability is 0.5
Learn more about probability here:
brainly.com/question/25870256
