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
208.81 square centimeters of aluminium are needed
<em><u>Solution:</u></em>
Given that,
Radius = 3.5 cm
Height = 6 cm
We have to find the square centimeters of aluminum needed
So we have to find the surface area of cylinder
<em><u>The surface area of cylinder is given by formula:</u></em>
Where "r" is the radius and "h" is the height of cylinder
<em><u>Substituting the values we get,</u></em>
Thus 208.81 square centimeters of aluminium are needed
35 people have red hair. Do 700 times 0.05.
The first answer of the missing blank is 4/5.
The second answer of the missing blank is 2.
The third answer of the missing blank is 25.
*For all of these solutions, I will be using the common rules for logarithms.*
Solution for the first question:
Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.
Solution for the second question:
Log3^22 must equal log3^11+log3^2, if you break it down.
Solution for the third question:
Log9^25 must equal 2log9^5 because it will be like this when simplifying it:
log9^25=2log9^5
log9^5²=2log9^5
2log9^5=2log9^5
These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!