Answer:
![916.11\:ft^{3}](https://tex.z-dn.net/?f=916.11%5C%3Aft%5E%7B3%7D)
Step-by-step explanation:
Volume of the hexagonal pyramid = ![1/3\times (area\: of \: hexagonal\:base)\times height](https://tex.z-dn.net/?f=1%2F3%5Ctimes%20%28area%5C%3A%20of%20%5C%3A%20hexagonal%5C%3Abase%29%5Ctimes%20height)
Here sides of hexagonal base = 9 ft
So, Area of hexagon = ![6\times \frac{\sqrt{3} }{4} a^{2}](https://tex.z-dn.net/?f=6%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B4%7D%20a%5E%7B2%7D)
![6\times \frac{\sqrt{3} }{4} \times 9 \times 9](https://tex.z-dn.net/?f=6%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B4%7D%20%5Ctimes%209%20%5Ctimes%209)
![= 210.5](https://tex.z-dn.net/?f=%3D%20210.5)
Height is given, 13 ft
So, volume = ![1/3\times 210.5\times 13](https://tex.z-dn.net/?f=1%2F3%5Ctimes%20210.5%5Ctimes%2013)
![= 916.11\: ft^{3}](https://tex.z-dn.net/?f=%3D%20916.11%5C%3A%20ft%5E%7B3%7D)
<u>OAmalOHopeO</u>
You add 13 and 8 it gets 21 so for X its 13
Answer: RI 18,823.14
Step-by-step explanation:
I guess that we want to find the 12.6% of Rl 149,390
First, we assume that Rl 149,390 is the 100%
Then we can write an equation like:
Rl 149,390 = 100%
Then if the amount X is the 12.6%, we also have the equation:
X = 12.6%
Then we have the two equations:
X = 12.6%
Rl 149,390 = 100%
If we take the quotient between these two equations we get:
(X/Rl 149,390) = (12.6%/100%)
Solving this for X we get:
X = (12.6%/100%)*(Rl 149,390) = RI 18,823.14
measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Step-by-step explanation:
Arc length = 29.21
Circumference = 40.44
Central angle = ?
The formula used to find central angle is:
![s=r\theta](https://tex.z-dn.net/?f=s%3Dr%5Ctheta)
where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference
![c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43](https://tex.z-dn.net/?f=c%3D2%5Cpi%20r%5C%5Cr%3D%5Cfrac%7Bc%7D%7B2%5Cpi%20%7D%20%5C%5CPutting%5C%2C%5C%2Cvalues%3A%5C%5Cr%3D%5Cfrac%7B40.44%7D%7B2%2A3.14%7D%5C%5Cr%3D6.43)
So, radius = 6.34
Now, finding central angle:
![s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians](https://tex.z-dn.net/?f=s%3Dr%5Ctheta%5C%5C29.21%3D6.34%5C%2C%5C%2C%5Ctheta%5C%5C%5Ctheta%3D%5Cfrac%7B29.21%7D%7B6.34%7D%5C%5C%5Ctheta%3D4.607%5C%2C%5C%2Cradians)
So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Keywords: Central angle of circle
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