Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Where, <em>r</em> is the radius of the circle.
Let
be the radius of the original circle. So, the area of the circle is
![A_1=\pi (r_1)^2](https://tex.z-dn.net/?f=A_1%3D%5Cpi%20%28r_1%29%5E2)
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
![r_2=1.5r_1](https://tex.z-dn.net/?f=r_2%3D1.5r_1)
The area of the new circle is
![A_2=\pi (r_2)^2](https://tex.z-dn.net/?f=A_2%3D%5Cpi%20%28r_2%29%5E2)
![A_2=\pi (1.5r_1)^2](https://tex.z-dn.net/?f=A_2%3D%5Cpi%20%281.5r_1%29%5E2)
![A_2=2.25\pi (r_1)^2](https://tex.z-dn.net/?f=A_2%3D2.25%5Cpi%20%28r_1%29%5E2)
![A_2=2.25A_1](https://tex.z-dn.net/?f=A_2%3D2.25A_1)
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
Answer: True
Step-by-step explanation:
The number is going down in a way that cannot be written as a straight line so it is a nonlinear.
They are the same angle, so we can write an equation to resemble it.
2w - 5 = 95
Solution:
2w - 5 = 95
2w = 100
w = 50
Check:
2(50) - 5
100 - 5
95
Therefore, w = 50
Best of Luck!
First, you add the prices of what she bought. Second, you find ten percent of the total price ( you just move the decimal one place to the left). Then you find half of ten percent to get 5%. Then, you add all of the prices together. Hope this helps!
Answer:
The answer is 8.805
Step-by-step explanation:
5.87 x 1.5 = 8.805