Answer:
3
Step-by-step explanation:
Divide
by ![\dfrac{2}{9}:](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B9%7D%3A)
![\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3A%5Cdfrac%7B2%7D%7B9%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Ccdot%20%5Cdfrac%7B9%7D%7B2%7D%3D%5Cdfrac%7B2%5Ccdot9%7D%7B3%5Ccdot%202%7D%3D%5Cdfrac%7B9%7D%7B3%7D%3D3.)
Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720
Answer: The time would be 3:00
There are 60 minute per hour. If it is 11:45, it's 25 minutes until 12:10. Once it is 12:10, the next hour (after 50 minutes) would be 1:00. so if you take 11:45 and add the 25 minutes from 3 hours and 25 minutes, it is 12:10 and you are left with 3 hours. 3 hours after 12:10 is 3:10
Answer:
and ![r=-\frac{\sqrt{3} }{4}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B4%7D)
Step-by-step explanation:
when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):
![r^2=\frac{3}{16} \\r=+/-\sqrt{\frac{3}{16}} \\r=+/-\frac{\sqrt{3} }{4}](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7B3%7D%7B16%7D%20%5C%5Cr%3D%2B%2F-%5Csqrt%7B%5Cfrac%7B3%7D%7B16%7D%7D%20%5C%5Cr%3D%2B%2F-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B4%7D)
then you need to include these two possible solutions:
and ![r=-\frac{\sqrt{3} }{4}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B4%7D)