Answer:
(4a+7)(4a-7)
Step-by-step explanation:
This is a guess using logic, but my answer for this is that she concluded that she walked faster in the first 15 minutes. An increase in speed would increase the distance she walked in that amount of time
Answer:
DC=6
Step-by-step explanation:
all is shown and pictured
Answer:
75%
Step-by-step explanation:
What percent of 24 is 18?
24x = 18
x = 18/24 = 3/4 = 0.75 = 75% passed
Answer:
The length of apothem of given hexagon is 8.66 cm
Step-by-step explanation:
Apothem of a polygon is given by:
![apothem = \frac{s}{2\ tan\ (\frac{180}{n})}](https://tex.z-dn.net/?f=apothem%20%3D%20%5Cfrac%7Bs%7D%7B2%5C%20tan%5C%20%28%5Cfrac%7B180%7D%7Bn%7D%29%7D)
Here
s is length of side
tan is trigonometric function
and n denotes number of sides
Given that the polygon is a hexagon
![s = 10cm\\n = 6](https://tex.z-dn.net/?f=s%20%3D%2010cm%5C%5Cn%20%3D%206)
Putting the values in the formula
![apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm](https://tex.z-dn.net/?f=apothem%20%3D%20%5Cfrac%7B10%7D%7B2%5C%20tan%5C%20%28%5Cfrac%7B180%7D%7B6%7D%29%7D%5C%5C%3D%20%5Cfrac%7B10%7D%7B2%5C%20tan%5C%2030%7D%5C%5C%3D%5Cfrac%7B10%7D%7B2%20%2A%200.5773%7D%5C%5C%3D%5Cfrac%7B10%7D%7B1.1546%7D%5C%5C%3D8.6610%5C%5CRounding%5C%20off%5C%20to%5C%20nearest%5C%20hundredth%5C%5C%3D%208.66%5C%20cm)
Hence,
The length of apothem of given hexagon is 8.66 cm