For this, we use the equation for arithmetic sequence. It is given as:
an = a1 + (n-1)d
where an is the value at n term, a1 is the first term and d is the common difference
For 54,
54 = 12 + (3 -1)d
d = 21
an = 12 + (2-1)21
an = 33
Given a radius
, the volume of a sphere is given by

We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
Answer:
640
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3,-3)
Answer:
Length of each side = (4x-1)
Step-by-step explanation:
You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.
For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.
My work is in the attachment. Comment with any questions.