43.586- anything 5 and more rounds up, so the 6 rounds the 8 up to 9, the 9 rounds the 5 up to a 6, so your answer wound be 43.6 because 43.5(tenths)8(hundredths)6(thousandths), i hope this helps
Answer:
It's 253
Step-by-step explanation:
Answer:
1. x = +/- 2
- 7
2. x =
+/- ![2i\sqrt{3}](https://tex.z-dn.net/?f=2i%5Csqrt%7B3%7D)
3. n =
+/- ![i\sqrt{2}](https://tex.z-dn.net/?f=i%5Csqrt%7B2%7D)
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Subtract 7 from both sides: x = +/- 2
- 7
2. Square root both sides: x - 3 = ![\sqrt{-12}](https://tex.z-dn.net/?f=%5Csqrt%7B-12%7D)
Since there is a negative inside the radical, we need to have an imaginary number:
. So, ![\sqrt{-12} =i\sqrt{12} =2i\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B-12%7D%20%3Di%5Csqrt%7B12%7D%20%3D2i%5Csqrt%7B3%7D)
Add 3 to both sides: x =
+/- ![2i\sqrt{3}](https://tex.z-dn.net/?f=2i%5Csqrt%7B3%7D)
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 = ![\sqrt{-2}](https://tex.z-dn.net/?f=%5Csqrt%7B-2%7D)
Again, we have to use i: ![n-2=\sqrt{-2} =i\sqrt{2}](https://tex.z-dn.net/?f=n-2%3D%5Csqrt%7B-2%7D%20%3Di%5Csqrt%7B2%7D)
Add 2 to both sides: n =
+/- ![i\sqrt{2}](https://tex.z-dn.net/?f=i%5Csqrt%7B2%7D)
Hope this helps!
Answer:
![\theta=102.85^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D102.85%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given that,
The radius of circle, r = 7 cm
The area of sector, A = 44cm²
We need to find the angle of the sector. The formula for the area of sector is given by :
![A=\dfrac{\theta}{360}\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20r%5E2)
Solve for
.
![\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B360A%7D%7B%5Cpi%20r%5E2%7D%5C%5C%5C%5C%5Ctheta%3D%5Cdfrac%7B360%5Ctimes%2044%7D%7B%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%207%5E2%7D%5C%5C%5C%5C%5Ctheta%3D102.85%5E%7B%5Ccirc%7D)
So, the angle of the sector is equal to
.
Answer:
2x - 7
Step-by-step explanation:
Twice a number x means x times 2, which can be written as 2x
Minus 17 from 2x