E varies directly with the square root of C. If E=40 when C=25, find: C when E = 10.4
2 answers:
Answer: C = 1.69
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = ?
E = 10.4
k = 8
E = k × √C
10.4 = 8 × √C
10.4 / 8 = √C
( 10.4 / 8 ) ^ 2 = C
C = 1.69
Answer:
Step-by-step explanation:
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