Answer:
Product = ![\dfrac{64}{135}](https://tex.z-dn.net/?f=%5Cdfrac%7B64%7D%7B135%7D)
Step-by-step explanation:
The expression is as follows :
![\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B7%7D%5Ctimes%20%5Cdfrac%7B8%7D%7B9%7D%5Ctimes%20%5Cdfrac%7B14%7D%7B15%7D)
We need to find the product of the above expression
As 7 × 2 = 14
So, it will become :
![4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cdfrac%7B8%7D%7B9%7D%5Ctimes%20%5Cdfrac%7B2%7D%7B15%7D%5C%5C%5C%5C%3D%5Cdfrac%7B4%5Ctimes%208%5Ctimes%202%7D%7B9%5Ctimes%2015%7D%5C%5C%5C%5C%3D%5Cdfrac%7B64%7D%7B135%7D)
So, the product of the given fractions is
.
Answer:
12
Step-by-step explanation:
4 x 3 is 12
Answer:
![area = \frac{8}{3}pie ft^2](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7B8%7D%7B3%7Dpie%20ft%5E2)
Step-by-step explanation:
Area of sector is given as θ/360*πr²
Where,
θ = central angel of sector, m < DCE = 60°
r = radius = 4 feet
Area of sector = ![\frac{60}{360}*pie*4^2](https://tex.z-dn.net/?f=%20%5Cfrac%7B60%7D%7B360%7D%2Apie%2A4%5E2)
![area = \frac{1}{6}*pie*16](https://tex.z-dn.net/?f=%20area%20%3D%20%5Cfrac%7B1%7D%7B6%7D%2Apie%2A16)
![area = \frac{1*16}{6}*pie](https://tex.z-dn.net/?f=%20area%20%3D%20%5Cfrac%7B1%2A16%7D%7B6%7D%2Apie)
![area = \frac{16}{6}*pie](https://tex.z-dn.net/?f=%20area%20%3D%20%5Cfrac%7B16%7D%7B6%7D%2Apie)
![area = \frac{8}{3}pie ft^2](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7B8%7D%7B3%7Dpie%20ft%5E2)
Area of the sector = 8/3π ft²
Answer:
22x^2+x+3
Step-by-step explanation: