Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Find out how much you filled.
2.92 + 3.14 = 6.06 L
Find the remaining.
8.23 L - 6.06 L = 2.17 L
You need 2.17 L more to fill the water jug
Answer: Margret grew faster than donovan
Step-by-step explanation:
X=3/5 just add 4 to 26 then combine -35x and 85x to get 50x then divide both sides by 50 and simplify
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area = ![n[\frac{1}{2}\times (\text{Base})\times (\text{Height})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29%5D)
= ![n[\frac{1}{2}\times (\text{s})\times (\text{h})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7Bs%7D%29%5Ctimes%20%28%5Ctext%7Bh%7D%29%5D)
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.
