Answer:
![c = 16.392\,\frac{USD}{ft^{2}}](https://tex.z-dn.net/?f=c%20%3D%2016.392%5C%2C%5Cfrac%7BUSD%7D%7Bft%5E%7B2%7D%7D)
Step-by-step explanation:
The surface area of the cone shaped roof is:
![A_{s} = \pi\cdot (10\,ft)\cdot (6\,ft)](https://tex.z-dn.net/?f=A_%7Bs%7D%20%3D%20%5Cpi%5Ccdot%20%2810%5C%2Cft%29%5Ccdot%20%286%5C%2Cft%29)
![A_{s} \approx 188.496\,ft^{2}](https://tex.z-dn.net/?f=A_%7Bs%7D%20%5Capprox%20188.496%5C%2Cft%5E%7B2%7D)
The cost of roofing per square feet is: (USD stands for US dollar)
![c = \frac{3089.76\,USD}{188.496\,ft^{2}}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B3089.76%5C%2CUSD%7D%7B188.496%5C%2Cft%5E%7B2%7D%7D)
![c = 16.392\,\frac{USD}{ft^{2}}](https://tex.z-dn.net/?f=c%20%3D%2016.392%5C%2C%5Cfrac%7BUSD%7D%7Bft%5E%7B2%7D%7D)
Answer:
there are 14 possible outcomes
Step-by-step explanation:
this is because there are 14 marbles in the bag
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
![V_{ball} = \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%20)
![V_{ball} = \frac{4}{3} \times 3.14(5)^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%203.14%285%29%5E3%20)
![V_{ball} = \frac{4}{3} \times 3.14\times 125](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%203.14%5Ctimes%20125%20)
![V_{ball} = \frac{1,570}{3}\: In^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B1%2C570%7D%7B3%7D%5C%3A%20In%5E3%20)
![V_{box} =l^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3Dl%5E3%20)
![V_{box} =(10)^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3D%2810%29%5E3%20)
![V_{box} =1000\: In^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3D1000%5C%3A%20In%5E3%20)
Percentage of the space in the box occupied by the ball
![= \frac{V_{ball}}{V_{box} } \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7BV_%7Bball%7D%7D%7BV_%7Bbox%7D%20%7D%20%5Ctimes%20100%20)
![= \frac{\frac{1,570}{3}}{1000} \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B%5Cfrac%7B1%2C570%7D%7B3%7D%7D%7B1000%7D%20%5Ctimes%20100%20)
![= \frac{1570}{3000} \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1570%7D%7B3000%7D%20%5Ctimes%20100%20)
![= \frac{157}{3}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B157%7D%7B3%7D%20%20)
![= 52.33\%](https://tex.z-dn.net/?f=%20%3D%2052.33%5C%25%20)
Answer:
Step-by-step explanation:
10(3)+2(10)(4)+2(3)(4)=30+80+24
=134
Answer:
-0.75 linear
Step-by-step explanation: