Answer:
b
Step-by-step explanation:
hope this helps :)
<h3><u>Answer</u> :</h3>
For triangle : A + B + C = π
⇒ A + B = π - C
⇒ cot(A + B) = cot(π - C)
⇒ ![\sf\dfrac{cotA\:cotB-1}{cotB+cotA}=-cotA](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7BcotA%5C%3AcotB-1%7D%7BcotB%2BcotA%7D%3D-cotA)
⇒ ![\bf{cotA\:cotB+cotB\:cotC+cotC\:cotA=1}](https://tex.z-dn.net/?f=%5Cbf%7BcotA%5C%3AcotB%2BcotB%5C%3AcotC%2BcotC%5C%3AcotA%3D1%7D)
<u>Now 1st part of the given expression</u>!
⇒ ![\sf\dfrac{cosA}{sinB\:sinC}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7BcosA%7D%7BsinB%5C%3AsinC%7D)
⇒ ![\sf\dfrac{cos(\pi-(B+C))}{sinB\:sinC}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7Bcos%28%5Cpi-%28B%2BC%29%29%7D%7BsinB%5C%3AsinC%7D)
⇒ ![\sf\dfrac{-cosB\:cosC+sinB\:sinC}{sinB\:sinC}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B-cosB%5C%3AcosC%2BsinB%5C%3AsinC%7D%7BsinB%5C%3AsinC%7D)
⇒ 1 - cotB cotC
<u>Similarly 2nd part</u>!
⇒ 1 - cotA cotB
<u>Similarly 3rd part</u>!
⇒ 1 - cotC cotA
<u>LHS</u> :
![\circ\:\sf{3-(cotA\:cotB+cotB\:cotC+cotC\:cotA)}](https://tex.z-dn.net/?f=%5Ccirc%5C%3A%5Csf%7B3-%28cotA%5C%3AcotB%2BcotB%5C%3AcotC%2BcotC%5C%3AcotA%29%7D)
![\circ\:\sf{3-1}](https://tex.z-dn.net/?f=%5Ccirc%5C%3A%5Csf%7B3-1%7D)
= <u>RHS</u>
<h3>Hence Proved!!</h3>
Here, what we want to find is the lowest number of bottles / soaps while having the total inventory used. As we want the number of bottles and soaps to fit perfectly, we have to find a common divisor of 48 and 64. In addition, since we want the maximum number of baskets, we want to find the highest common divisor of the two numbers. Using a little guess and check, we can find 16 baskets as our answer. To have the same number of soaps and lotions in each, we have 48/16= 3 soaps per basket and 64/16=4 lotions per basket.
Feel free to contact me with further questions.
Answer:
1. A
2. A
3. C
4. A
5. B
6. B
Step-by-step explanation:
HERERERERERRERERERERHEREHERE
btw to multipy percent w a whole number you have to make the percent into a decimal. and move the decimal point 2 times to the left
ex, 15% converted into a decimal 0.15
and then u multiply with the whole number, 1500 times 0.15
which equals 225, and lastly u subtract 225 from 1500 (1500-225)
& u get $1275