Simplify the radical

Mathematics

1 answer:

mamaluj [8]2 years ago

4 0

Answer:

$9d^3$

Step-by-step explanation:

$~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3$

You might be interested in

6p+2+ p - 3 = 8p - 8

saul85 [17]

6p+p+2-3=8p-8
7p-1=8p-8
1=1p-8
7=1p
p=7

7 0

3 years ago

A pizza has a diameter of 12 inches. Each piece has a central angle of radians. What is

Firlakuza [10]

Answer:

The area of one slice of pizza is 18 in²

Step-by-step explanation:

First we have to know that the 360 ° representing the circle expressed in radians are expressed as 2π

Now we must calculate the area of the circle

a = π * r²

a = π * (12in)²

a = 144π in²

Now that we have the area of the circumference we multiply it by (π/4) / (2π)

144π in² * (π/4) / (2π) =

144 in² * 1/8 =

18 in²

The area of one slice of pizza is 18 in²

3 0

3 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$