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T varies inversely with the cube of W. When wis 3, T is a Find the value of w when Tis 233 · W = [?]
Question
T varies inversely with the cube of W. When wis 3, T is a Find the value of w when Tis 233 · W = [?]
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Mathematics
6 months
2021-08-09T16:45:28+00:00
2021-08-09T16:45:28+00:00 1 Answers
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Answers ( )
Answer:
cuberoot[27a/233
Step-by-step explanation:
If T varies inversely with the cube of W, then;
T = k/W³
k = TW³
If W = 3 and T ,= a
k = a(3)³
k = 27a
To get W when T is 233
Recall
T = k/W³
233 = 27a/W³
233w³ = 27a
W³= 27a/233
w = cuberoot[27a/233]