Answered

Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

First, we must set up our equation using the Pythagorean Theorem.

[tex]\[
\begin{array}{c}
a^2 + b^2 = c^2 \\
[?]^2 + b^2 = {}^2
\end{array}
\][/tex]

Hint: Plug in the value of the cone's radius for [tex]\(a\)[/tex]. The diameter of the cone is 8, so the radius is half this value.

Sagot :

GinnyAnsweridn
Alright, let's proceed step-by-step.

1. Determine the radius of the cone:
- The diameter of the cone is given as 8.
- The radius \( r \) is half of the diameter, hence:
[tex]\[ r = \frac{\text{Diameter}}{2} = \frac{8}{2} = 4.0 \][/tex]

2. Set up the Pythagorean Theorem:
- The Pythagorean Theorem states that:
[tex]\[ a^2 + b^2 = c^2 \][/tex]
- In this case, we'll be using the radius \( r \) as \( a \). So, \( a \) is 4.0.
- Substitute this value into the Pythagorean Theorem:
[tex]\[ 4.0^2 + b^2 = c^2 \][/tex]

Therefore, the equation set up using the given values is:
[tex]\[ 4.0^2 + b^2 = c^2 \][/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.