When you times a number by two you times a number by two and you times a number by five
if its diameter is 6, then its radius is half that or 3.
![\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%20%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D3%5C%5C%20h%3D4%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%283%29%5E2%284%29%7D%7B3%7D%5Cimplies%20V%3D12%5Cpi%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bsurface%20area%20of%20a%20cone%7D%5C%5C%5C%5C%20SA%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%2B%5Cpi%20r%5E2%5Cqquad%20%5Cimplies%20%5Cqquad%20SA%3D%5Cpi%20%283%29%5Csqrt%7B3%5E2%2B4%5E2%7D%2B%5Cpi%20%283%29%5E2%20%5C%5C%5C%5C%5C%5C%203%5Cpi%20%5Csqrt%7B25%7D%2B9%5Cpi%20%5Cimplies%203%5Cpi%20%285%29%2B9%5Cpi%20%5Cimplies%2015%5Cpi%20%2B9%5Cpi%20%5Cimplies%2024%5Cpi)
Answer:
Option (3)
Step-by-step explanation:
We have to divide polynomial given as (x³ - 21x² + 147x - 343) by (x - 7) by synthetic division.
7 | 1 -21 147 -343
<u> ↓ 7 -98 343 </u>
1 -14 49 0
Therefore, quotient is (x² - 14x + 49) and the remainder will be 0.
Option (3) will be the answer.
Answer:
So, /(100÷2) = 117/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 234/100 is also equal to 2 17/50 when expressed as a mixed number.
Step-by-step explanation:
When you say comparing do you mean dividing or just comparing
