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Make H the Subject of the Formula R = H 2 ( a − B ) . Find H When R = 108, a = 16 and B = 12. - Mathematics

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Question

Make h the subject of the formula R = `"h"/(2)("a" - "b")`. Find h when R = 108, a = 16 and b = 12.

Sum

Solution

R = `"h"/(2)("a" - "b")`

⇒ 2R = h(a - b)

⇒ h = `(2"R")/("a" - "b")`

Substituting R = 108, a = 16 and b = 12, we get

h = `(2 xx 108)/(16 - 12)`

= `(2 xx 108)/(4)`

= 54.

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Changing the Subject of a Formula
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Chapter 6: Changing the subject of a formula - Exercise 6.3

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Frank Mathematics [English] Class 9 ICSE
Chapter 6 Changing the subject of a formula
Exercise 6.3 | Q 1
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