Answer:
7.74 square cm
Step-by-step explanation:
To find the leftovers, calculate the area of the square and the area of the circle. Then subtract the two.
Square: A = s*s = 6*6 = 36
Circle: ![A = \pi r^2\\A = \pi 3^2\\A = 9 \pi\\A= 28.26](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2%5C%5CA%20%3D%20%5Cpi%203%5E2%5C%5CA%20%3D%209%20%5Cpi%5C%5CA%3D%2028.26)
The area leftover is A = 36 - 28.26 = 7.74
Factorizing an expression involves writing the expression in simpler forms
The values of z are
or ![z=4](https://tex.z-dn.net/?f=z%3D4)
The equation is given as:
![5z^2 - 21z + 4 = 0](https://tex.z-dn.net/?f=5z%5E2%20-%2021z%20%2B%204%20%3D%200)
Expand the equation
![5z^2 - 20z -z + 4 = 0](https://tex.z-dn.net/?f=5z%5E2%20-%2020z%20-z%20%2B%204%20%3D%200)
Factorize the expression:
![5z(z - 4) -1(z - 4) = 0](https://tex.z-dn.net/?f=5z%28z%20-%204%29%20-1%28z%20-%204%29%20%3D%200)
Factor out z - 4
![(5z - 1)(z - 4) = 0](https://tex.z-dn.net/?f=%285z%20-%201%29%28z%20-%204%29%20%3D%200)
Split
or ![z - 4 = 0](https://tex.z-dn.net/?f=z%20-%204%20%3D%200)
Solve for z
or ![z=4](https://tex.z-dn.net/?f=z%3D4)
Hence, the values of z are
or ![z=4](https://tex.z-dn.net/?f=z%3D4)
Read more about factorization at:
brainly.com/question/11579257
Answer:
107810
Step-by-step explanation:
You can use the order of operations! So we start with 99^3/9. That is 99^2*11. So now let’s do 99/99, it’s 1. So 99^2*11 is 107811, so the answer is 107810.
Answer:
y=+3
Step-by-step explanation:
Answer:
0.486% of world population lives in Canada.
Step-by-step explanation:
Given: World Population= 7691 million.
Canada Population= 37.4 million.
Now, finding the percentage of world population lives in Canada.
![Population\ percentage= \frac{Canada\ population}{World\ population} \times 100](https://tex.z-dn.net/?f=Population%5C%20percentage%3D%20%5Cfrac%7BCanada%5C%20population%7D%7BWorld%5C%20population%7D%20%5Ctimes%20100)
⇒ ![Population\ percentage= \frac{37.4}{7691} \times 100](https://tex.z-dn.net/?f=Population%5C%20percentage%3D%20%5Cfrac%7B37.4%7D%7B7691%7D%20%5Ctimes%20100)
⇒ ![Population\ percentage= 0.00486\times 100](https://tex.z-dn.net/?f=Population%5C%20percentage%3D%200.00486%5Ctimes%20100)
∴ ![Population\ percentage= 0.486\%](https://tex.z-dn.net/?f=Population%5C%20percentage%3D%200.486%5C%25)
Hence, 0.486% of world population lives in Canada.