To get the greatest possible quotient, you need the biggest possible
dividend and the smallest possible divisor.
96,432 divided by 225 = 428.5666... <== greatest possible
23,469 divided by 522 = 44.9597... <== smallest possible
Answer:
Hence the correct option is 3rd option. 40
Step-by-step explanation:
If two figures are similar, then the ratio of the corresponding sides is proportional.
![\frac{15}{30} =\frac{20}{n} \\\\n=\frac{30 \times 20}{15} \\\\n= 40.](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B30%7D%20%3D%5Cfrac%7B20%7D%7Bn%7D%20%5C%5C%5C%5Cn%3D%5Cfrac%7B30%20%5Ctimes%2020%7D%7B15%7D%20%5C%5C%5C%5Cn%3D%2040.)
Answer:
3x + 2 = 59
Step-by-step explanation:
because the total is 59 so is definetly =59
and no of oranges in bag so there are 3 bags it means its 3x so the equation is 3x + 2 = 59
Hope it will help you
Lots of love from nepal <3 :)
Answer:
![\theta = 108.29](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20108.29)
Step-by-step explanation:
Given
![u =](https://tex.z-dn.net/?f=u%20%3D%20%3C2%2C6%3E)
![v =](https://tex.z-dn.net/?f=v%20%3D%20%3C4%2C-7%3E)
Required:
Calculate the angle between u and v
The angle
is calculated as thus:
![cos\theta = \frac{u.v}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7Bu.v%7D%7B%7Cu%7C.%7Cv%7C%7D)
For a vector
![A =](https://tex.z-dn.net/?f=A%20%3D%20%3Ca%2Cb%3E)
![A = a * b](https://tex.z-dn.net/?f=A%20%3D%20a%20%2A%20b)
becomes
![cos\theta = \frac{.}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B%3C2%2C6%3E.%3C4%2C-7%3E%7D%7B%7Cu%7C.%7Cv%7C%7D)
![cos\theta = \frac{2*6+4*-7}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B2%2A6%2B4%2A-7%7D%7B%7Cu%7C.%7Cv%7C%7D)
![cos\theta = \frac{12-28}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B12-28%7D%7B%7Cu%7C.%7Cv%7C%7D)
![cos\theta = \frac{-16}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B%7Cu%7C.%7Cv%7C%7D)
For a vector
![A =](https://tex.z-dn.net/?f=A%20%3D%20%3Ca%2Cb%3E)
![|A| = \sqrt{a^2 + b^2}](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20%5Csqrt%7Ba%5E2%20%2B%20b%5E2%7D)
So;
![|u| = \sqrt{2^2 + 6^2}](https://tex.z-dn.net/?f=%7Cu%7C%20%3D%20%5Csqrt%7B2%5E2%20%2B%206%5E2%7D)
![|u| = \sqrt{4 + 36}](https://tex.z-dn.net/?f=%7Cu%7C%20%3D%20%5Csqrt%7B4%20%2B%2036%7D)
![|u| = \sqrt{40}](https://tex.z-dn.net/?f=%7Cu%7C%20%3D%20%5Csqrt%7B40%7D)
![|v| = \sqrt{4^2+(-7)^2}](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%5Csqrt%7B4%5E2%2B%28-7%29%5E2%7D)
![|v| = \sqrt{16+49}](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%5Csqrt%7B16%2B49%7D)
![|v| = \sqrt{65}](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%5Csqrt%7B65%7D)
So:
![cos\theta = \frac{-16}{|u|.|v|}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B%7Cu%7C.%7Cv%7C%7D)
![cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B%5Csqrt%7B40%7D%2A%5Csqrt%7B65%7D%7D)
![cos\theta = \frac{-16}{\sqrt{2600}}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B%5Csqrt%7B2600%7D%7D)
![cos\theta = \frac{-16}{\sqrt{100*26}}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B%5Csqrt%7B100%2A26%7D%7D)
![cos\theta = \frac{-16}{10\sqrt{26}}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-16%7D%7B10%5Csqrt%7B26%7D%7D)
![cos\theta = \frac{-8}{5\sqrt{26}}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B-8%7D%7B5%5Csqrt%7B26%7D%7D)
Take arccos of both sides
![\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7B-8%7D%7B5%5Csqrt%7B26%7D%7D%29)
![\theta = cos^{-1}(\frac{-8}{5 * 5.0990})](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7B-8%7D%7B5%20%2A%205.0990%7D%29)
![\theta = cos^{-1}(\frac{-8}{25.495})](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7B-8%7D%7B25.495%7D%29)
![\theta = cos^{-1}(-0.31378701706)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%28-0.31378701706%29)
![\theta = 108.288386087](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20108.288386087)
<em></em>
<em> (approximated)</em>
Answer:
Answer below hopes it helps
Step-by-step explanation: