Answer:
Step-by-step explanation:
one yard=3 feet so
33ft < 51 feet
Answer:
<em>720</em>
<em>12</em>
<em>120</em>
Step-by-step explanation:
<u>Factorials</u>
We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1
![n!= n(n-1)(n-2)...1](https://tex.z-dn.net/?f=n%21%3D%20n%28n-1%29%28n-2%29...1)
Let's evaluate the given expressions
![6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720](https://tex.z-dn.net/?f=6%21%3D6%5Ccdot%205%5Ccdot%204%5Ccdot%203%5Ccdot%202%5Ccdot%201%3D720)
Similarly
![3!\cdot 2!=(3\cdot 2\cdot 1)\cdot (2\cdot 1)=6\cdot 2=12](https://tex.z-dn.net/?f=3%21%5Ccdot%202%21%3D%283%5Ccdot%202%5Ccdot%201%29%5Ccdot%20%282%5Ccdot%201%29%3D6%5Ccdot%202%3D12)
Finally
![\displaystyle \frac{6!}{3!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6%21%7D%7B3%21%7D%3D%5Cfrac%7B6%5Ccdot%205%5Ccdot%204%5Ccdot%203%5Ccdot%202%5Ccdot%201%7D%7B3%5Ccdot%202%5Ccdot%201%7D)
![\displaystyle \frac{6!}{3!}= \frac{720}{6}=120](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6%21%7D%7B3%21%7D%3D%20%5Cfrac%7B720%7D%7B6%7D%3D120)
Answer:
<em>The new carpet for the master room will cost $379.30</em>
Step-by-step explanation:
The bedroom is a rectangle of dimensions:
![4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft](https://tex.z-dn.net/?f=4%5Csqrt%20%7B3%7D%2B6%5Csqrt%20%7B3%7D%3D10%5Csqrt%20%7B3%7D~ft)
![6\sqrt {6}~ft](https://tex.z-dn.net/?f=6%5Csqrt%20%7B6%7D~ft)
Thus, the area of the master bedroom is:
![A=10\sqrt {3}~ft*6\sqrt {6}~ft](https://tex.z-dn.net/?f=A%3D10%5Csqrt%20%7B3%7D~ft%2A6%5Csqrt%20%7B6%7D~ft)
Multiply the coefficients and the arguments:
![A=60\sqrt {18}~ft^2](https://tex.z-dn.net/?f=A%3D60%5Csqrt%20%7B18%7D~ft%5E2)
Calculating:
![A=254.56~ft^2](https://tex.z-dn.net/?f=A%3D254.56~ft%5E2)
The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:
$1.49*254.56=$379.30
The new carpet for the master room will cost $379.30
Answer:
I need a picture of the problem your working on
Step-by-step explanation: