Pooja writes the ratio x3=y4 to help her increase the size of a two-dimensional shape. If the new value of x is 15 units, what will be the value of y ?
20
To find the value of y, we need to solve the ratio equation x^3 = y^4 for y.
Taking the fourth root of both sides of the equation, we get:
y^4 = ∛(x^3)
y^4 = ∛(15^3)
y^4 = ∛(3375)
Taking the fourth root of both sides, we get:
y = ∛(∛(3375))
y ≈ 5
Therefore, the value of y is approximately 5 units.
That answer is wrong
My apologies for the error in my previous response. Let's solve the equation correctly.
Starting with the equation x^3 = y^4, we need to find the value of y when x = 15.
Substituting x = 15 into the equation, we get:
(15)^3 = y^4
225 * 15 = y^4
3375 = y^4
To find the fourth root of 3375, we can take the square root of the square root of 3375, which is √(√3375).
Using a calculator, we find that √(√3375) is approximately 7.15.
Therefore, the value of y is approximately 7.15 units.