We know that
[area of the figure]=[area of rectangle]+[area of semi circle]
area of rectangle=b*h------> 10*18-----> 180 cm²
area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²
[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²
the answer is
the area of the figure is 307 cm²
If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:
averages: 56.4, 59.8, 55.8
the number of values: 3
arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33
geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31
harmonic mean:
3 / (1/56.4 + 1/59.8 + 1/55.8) = 57.28
Answer:
State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
![x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-4%28a%29%28c%29%7D%7D%7B2%28a%29%7D%20)
![x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-1%20%5Cpm%20%5Csqrt%7B1%5E2%20-4%281%29%28-132%29%7D%7D%7B2%281%29%7D%20)
![x = \frac{-1 \pm 23}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-1%20%5Cpm%2023%7D%7B2%7D%20)
![x_1 = \frac{-1 + 23}{2}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B-1%20%2B%2023%7D%7B2%7D%20)
![x_1 = 11](https://tex.z-dn.net/?f=x_1%20%3D%2011%20)
![x_2 = \frac{-1 - 23}{2}](https://tex.z-dn.net/?f=x_2%20%3D%20%5Cfrac%7B-1%20-%2023%7D%7B2%7D%20)
![x_2 = -12](https://tex.z-dn.net/?f=x_2%20%3D%20-12)
The negative solution has no sense in the context of our problem, then the solution is x = 11.
Answer:
3) 10
4) 12
hope that helps buddy
Step-by-step explanation:
Answer:
(-2,1)
Step-by-step explanation: