Answer: 3 cm to 15 km
Step-by-step explanation: 1 ÷ 5 = 0.2
3 ÷ 15 = 0.2
Answer: I believe is 65/99
Step-by-step explanation: my teacher once told me when it has that infinite thing you place 99 under as a fraction [ however I'm not sure but I think thats right]
Answer:
-7/3, -3/4, .5, 2/3, 1.2
Step-by-step explanation:
negatives are always the least number
Answer:
Step-by-step explanation:
This can be simplified into
![8^{\frac{1}{3}}*320^{\frac{1}{3}}](https://tex.z-dn.net/?f=8%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%2A320%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
which is saying that you are taking the cubed root of each of those bases. The cubed root of 8 comes out evenly, to 2 (since 2*2*2 = 8). The cubed root of 320 is not so simple. To find it, find the complete factorization of 320. 320 factors to: 5 * 2*2*2*2*2*2 or
![\sqrt[3]{320}= \sqrt[3]{5*2^6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B320%7D%3D%20%5Csqrt%5B3%5D%7B5%2A2%5E6%7D)
Split that 2^6 up into increments of 3's to make the simplifying a bit easier:
![\sqrt[3]{5*2^3*2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%2A2%5E3%2A2%5E3%7D)
Because the index (the little number sitting in the bend of the radial sign) matches the power on both the 2's we can pull both the 2's out front, leaving:
![4\sqrt[3]{5}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B5%7D)
but don't forget that we already found that the cubed root of 8 was 2, so multiply that 2 by the 4 to get:
![8\sqrt[3]{5}](https://tex.z-dn.net/?f=8%5Csqrt%5B3%5D%7B5%7D)
Answer:
19.33 feet
Step-by-step explanation:
As I see it:
her height/her shadow length=flagpole height/its shadow.
6/9=x/29 (20+9)
6(29)=9x
174=9x
174/9=9x/9
19.33=x