A cube has a volume of greater than 125 centimeters cubed. what are the possible lengths of the side of that cube?

Which equation justifies why nine to the one third power equals the cube root of nine?

AVprozaik [17]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

so

$(a^{b})^{c}=a^{b*c}$

In this problem we have

$9^{\frac{1}{3}} =\sqrt[3]{9}$

Remember that

$\sqrt[3]{9}=9^{\frac{1}{3}}$

Raise to the third power

$[9^{\frac{1}{3}}]^3$

Applying the power of power property

$9^{\frac{3}{3}}$

$9^{1}$

$9$

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

8 0

3 years ago

Read 2 more answers

John wants to fence in a portion of his backyard. ... How many feet of fencing does john need to buy to enclose this area? ... H

Lelechka [254]

For this problem you need to find the area.
To find area, you multiply the width by the length.
You multiply 12 1/2 by 5 1/2 and you get 31 1/4
This is how you do it::

= 25/2 × 5/2

= (25 × 5) / (2 × 2)

= 125/4

= 125/4

= 31 1/4

So you know that the area is 31 1/4 yards.
In the question it asks HOW MANY FEET so we have to convert 31 1/4 yards to feet.
1 yard= 3 feet
31 1/4 *3= 93.75
John need to buy 93.75 feet of fencing to enclose the area.

3 0

3 years ago

The image is an example of which type(s) of symmetry

LiRa [457]

Answer:

A. Both rotational and reflectional.

Step-by-step explanation:

We have been given an image of a regular polygon. We are asked to determine type(s) of symmetry for our given polygon.

Upon looking at our given polygon, we can see that it is a pentagon.

We know that a regular pentagon has five equal sides and five lines of symmetry.

We can see that each line of symmetry divides pentagon into two mirror images, therefore, our given pentagon has reflectional symmetry.

We know that the regular polygon has a rotational symmetry. We can find rotational symmetry of a regular polygon by multiplying 360 degrees by number of sides.

$\text{Rotational symmetry of pentagon}=\frac{360^{\circ}}{5}$