Answer:
![6 \sqrt[3]{5}](https://tex.z-dn.net/?f=6%20%5Csqrt%5B3%5D%7B5%7D)
Step-by-step explanation:
For the problem,
, use rules for simplifying cube roots. Under the operations of multiplication and division, if the roots have the same index (here it is 3) you can combine them.
![\sqrt[3]{24} *\sqrt[3]{45} = \sqrt[3]{24*45}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%2A%5Csqrt%5B3%5D%7B45%7D%20%3D%20%5Csqrt%5B3%5D%7B24%2A45%7D)
You can multiply it out completely, however to simplify after you'll need to pull out perfect cubes. Factor 24 and 45 into any perfect cube factors which multiply to each number. If none are there, then prime factors will do. You can group factors together such as 3*3*3 which is 27 and a perfect cube.
![\sqrt[3]{24*45} =\sqrt[3]{3*8*5*3*3} = 6 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%2A45%7D%20%3D%5Csqrt%5B3%5D%7B3%2A8%2A5%2A3%2A3%7D%20%20%3D%206%20%5Csqrt%5B3%5D%7B5%7D)
Area of square = L×W
L×W = 13×13
L×W = 169
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
Answer:
x-6 is less than 15+18x
Step-by-step explanation: In this situation no matter what X is 15+18x will be bigger because you are adding and multiplying to that x where as the other x is taking away 6
1. sin<span> (30°) = 1/2; 2. </span>sin<span> (300°) = - 3/2; 3. tan (30°) = 3/3; </span>4<span>. </span>sin<span> (45°) = 2/2; 5. sec (</span><span>240°) = -2; </span>6<span>. </span>sin<span> (</span>60<span>°) = 3/2; 7. </span>cos<span> (45°) = 2/2: Start a new line. 8. </span>cos<span> ... 17. tan (</span>150<span>°) = - 3/3; 18. </span>csc<span> (30°) = 2; 19. </span>csc<span> (45°) = 2; 20. </span>sec<span> (</span>210<span>°) = -2 3/3: Start a new line. 21. </span>cot<span> (45°) = 1; 22. sec (45°) = 2; 23. </span>sin<span> (330°) = -1/2; </span>24<span>. tan (135°) = -1 ...</span>