Answer:
w = 15
Step-by-step explanation:
7(w + 3) = 16 + 10(w − 4)
7w + 21 = 16 + 10w - 40
7w + 21 = 10w - 24
-3w = - 45
w = 15
Slant height is about 8.544.
Lateral area is about 96.93.
Surface area is about 144.93.
Volume is 96^3.
The short answer is trial and error. The side lengths "3" and "4" can both be substituted for a² and b² but not c² because their value squared is not high enough since 5² is 25. "c²" as to match the longest side because the smaller numbers will cause the equation to not be true. See Below.
a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
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a² + b² = c²
4² + 3² = 5²
16 + 9 = 25
25 = 25
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a² + b² = c²
5² + 4² = 3²
25 + 16 = 9
41 ≠ 9
______________________________
a² + b² = c²
3² + 5² = 4²
9 + 25 = 16
34 ≠ 16
Hope this helped!
