Advertisements
Advertisements
Question
Make d the subject of formula S = `"n"/(2){2"a" + ("n" - 1)"d"}`
Advertisements
Solution
S = `"n"/(2){2"a" + ("n" - 1)"d"}`
⇒ 2S = 2an + n(n - 1)d
⇒ 2S - 2an = n(n - 1)d
⇒ 2(S - an) = n(n - 1)d
⇒ d = `(2("S" - "an"))/("n"("n" - 1)`.
APPEARS IN
RELATED QUESTIONS
The fahrenheit temperature, F is 32 more than nine -fifths of the centigrade temperature C. Express this relation by a formula.
Make a formula for the statement:"The number of diagonals, d, that can be drawn from one vertex of an n sided polygon to all the other vertices is equal to the number of sides of the polygon less 3"
Make R the subject of formula A = `"P"(1 + "R"/100)^"N"`
Make R2 the subject of formula R2 = 4π(R12 - R22)
Given: mx + ny = p and y = ax + b. Find x in terms of m, n, p, a and b.
Make s the subject of the formula v2 = u2 + 2as. Find s when u = 3, a = 2 and v = 5.
Make x the subject of the formula a = `1 - (2"b")/("cx" - "b")`. Find x, when a = 5, b = 12 and
Make h the subject of the formula K = `sqrt("hg"/"d"^2 - "a"^2`. Find h, when k = -2, a = -3, d = 8 and g = 32.
Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.
"The volume of a cone V is equal to the product of one third of π and square of radius r of the base and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 1232cm3, π = `(22)/(7)`, h = 24cm.
