It's basically already done.
(5u^2 - 2)(u - 4)
because both terms have (u - 4)
Answer:
![4 \frac{5}{28}](https://tex.z-dn.net/?f=4%20%20%5Cfrac%7B5%7D%7B28%7D%20)
Step-by-step explanation:
![4 \frac{7}{8} \div 1 \frac{1}{6}](https://tex.z-dn.net/?f=4%20%20%5Cfrac%7B7%7D%7B8%7D%20%20%5Cdiv%201%20%20%5Cfrac%7B1%7D%7B6%7D%20)
Convert the mixed numbers above to improper fractions
![= \frac{39}{8} \div \frac{7}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B39%7D%7B8%7D%20%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B6%7D%20)
Rule of basic operation states that when dividing fractions, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that 7/6 becomes 6/7.
![= \frac{39}{8} \times \frac{6}{7}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B39%7D%7B8%7D%20%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B7%7D%20)
![= \frac{39 \times 6}{8 \times 7}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B39%20%5Ctimes%206%7D%7B8%20%5Ctimes%207%7D%20)
![= \frac{234}{56}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B234%7D%7B56%7D%20)
Converting the answer above to mixed number result to:
![= 4 \frac{5}{28}](https://tex.z-dn.net/?f=%20%3D%204%20%20%5Cfrac%7B5%7D%7B28%7D%20)
We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.
This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.
To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:
A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)
Best Answer: 15 (number of geese) : 27 (total # of birds)<span>
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