Find the cubic root of 135. (1 point) not In decimal
The cubic root of 135 is not an exact integer. However, it can be approximated as 5.678.
But what is that in numbers not decimal
The cubic root of 135 is approximately 5.678 when expressed in decimal form. In numerical form, it can be written as 135^(1/3).
What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for Tr. (1 point)
The formula to calculate the circumference of a circle is given by C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the circle is 4.5 miles, we can substitute this value in the formula:
C = 3.14 × 4.5
Evaluating the expression:
C ≈ 14.13
Therefore, the circumference of the circle, when estimated to the hundredths place using 3.14 for π, is approximately 14.13 miles.
Rewrite the irrational cube root ^3v189 as the product of an integer and another irrational cube root. Show your work.
To rewrite the irrational cube root ^3√189 as the product of an integer and another irrational cube root, we need to find a perfect cube that is a factor of 189.
We can start by factorizing 189:
189 = 9 * 21
The perfect cube that is a factor of 189 is 9, as it is equal to (3^2).
Using this, we can rewrite the expression ^3√189 as:
^3√189 = ^3√(9 * 21)
Splitting the radical:
^3√(9 * 21) = ^3√9 * ^3√21
Simplifying:
^3√9 = ∛(3^2) = 3
So, the expression ^3√189 can be rewritten as:
^3√189 = 3 * ^3√21