H varies directly to the cube of c . When H= 40 , C= 2 Express H in terms of C.
Answers
Answer:
20 times of the value of C
Step-by-step explanation:
if we think c as x than h is 20 x
so the value oh h is about 20 times of c..
thanks..
Concept:
The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. It is symbolised by the proportional sign ∝. Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.
For instance, if x and y are two quantities or variables that are intimately linked to one another, we can say x y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant. In contrast, x and y are represented as x ∝1/y or xy = C in the case of inverse proportion.
Given:
H varies directly to the cube of c
Find:
When H= 40 , C= 2 Express H in terms of C.
Solution:
H α C
⇒H =kC³
Substituting H= 40 , C= 2
40 =k2³
⇒40 = 8k
⇒k =5
So, H = 5c³
Therefore, H can be expressed in terms if c by following equation ,H=C³
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