V of w sphere =
r³
Multiply by 3 on either sides to get rid of the fraction.
3V = 4
r³
Now divide either sides by 4
to isolate r³
r³
4
and 4
cancels out
= r³
Take the cube root to isolate r.
![\sqrt[3]{ \frac{3V}{4 \pi } } = \sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20%3D%20%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
the cube root cancels the cube
![\sqrt[3]{ \frac{3V}{4 \pi } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20)
= r
Answer:
Step-by-step explanation:
Tienen 15 hojas de pegatinas en total.
Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
<u>What is the Dilation?</u>
Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.
The following are the properties of dilation of the triangle:
1)measures of the angles will not change
2)The sides of the image of the triangle are multiplied by the scale factor 2.
So,
A'B'=2AB
B'C'=2BC
A'C'=2AC
Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
To learn more about the Dilation from the given link
brainly.com/question/3457976
#SPJ1
Answer:
Step-by-step explanation:
the formula for density is:
where d is density, m is mass, and V is volume.
solving for m in the last equation:
so if we find the volume and multiply it by the density 
we will get the mass of the object.
The volume of a rectangular prism is given by:
where 
is length, 
is width and 
is height:
we substitute to find the volume:
since the density has units of 
we need the volume also in units of , so we make the conversion using:
multiplying by 30:
and now we find the mass with the equation:
substituting d and V:
the nearest gram is:
I typed this into demos and got that the lines intersected at (-2,2)
