Answer:
d) ÷
Step-by-step explanation:
120 ÷ 3/11 = 440
Answer:
952 cubic feet
Step-by-step explanation:
The diameter is 21, so the radius is 10.5. The area of a circle is πr^2, so 10.5^2π, or 110.25π. The pool is filled 9 inches from the top, so it is 3.5 feet - 9 inches high, 9 inches is 0.75 feet, so 2.75 feet filled. Now multiply 110.25π by 2.75 to get 303.1875π and then 952.4916, closer to 952 cubic feet.
Tell me if I'm right
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
Answer:
Hence in 52 weeks he will distribute 156 $ with 3 $ per week from his pay
Step-by-step explanation:
Given:
156 $ to United way for a year.
With each weeks.
To Find:
How much amount he will take for pay for giving to United way.
Solution:
He wants to give money to united way in a year
So there are 365 days per year
And he held money from is his pay every week
So there 7 days per weeks.
Hence Total number of weeks in a year will given by,
=365/7
=52 weeks per year
Now he held every week from his pay to United way
And Total amount to distribute is about 156 $ in 52 weeks.
So Every week amount will be
=156$/52
=3 $ /week