Matthew will need to leave home at 10:15 in order to arrive at concert ar 10.45
1. A
2. B
3. A
4. C
5. B and C
To solve this, we are going to use the surface are of a sphere formula:
![A=4 \pi r^2](https://tex.z-dn.net/?f=A%3D4%20%5Cpi%20r%5E2)
where
![A](https://tex.z-dn.net/?f=A)
is the surface area of the sphere
![r](https://tex.z-dn.net/?f=r)
is the radius of the sphere
We know for our problem that
![A=2122.64](https://tex.z-dn.net/?f=A%3D2122.64)
and
![\pi =3.14](https://tex.z-dn.net/?f=%20%5Cpi%20%3D3.14)
, so lets replace those vales in our formula:
![A=4 \pi r^2](https://tex.z-dn.net/?f=A%3D4%20%5Cpi%20r%5E2)
![2122.64=4(3.14)r^2](https://tex.z-dn.net/?f=2122.64%3D4%283.14%29r%5E2)
![2122.64=12.56r^2](https://tex.z-dn.net/?f=2122.64%3D12.56r%5E2)
Now, we just need to solve our equation for
![r](https://tex.z-dn.net/?f=r)
:
![\frac{2122.64}{12.56} =r^2](https://tex.z-dn.net/?f=%20%5Cfrac%7B2122.64%7D%7B12.56%7D%20%3Dr%5E2)
![r^2=\frac{2122.64}{12.56}](https://tex.z-dn.net/?f=%20r%5E2%3D%5Cfrac%7B2122.64%7D%7B12.56%7D)
![r^2=169](https://tex.z-dn.net/?f=r%5E2%3D169)
![r=+or- \sqrt{169}](https://tex.z-dn.net/?f=r%3D%2Bor-%20%5Csqrt%7B169%7D%20)
![r=13](https://tex.z-dn.net/?f=r%3D13)
or
![r=13](https://tex.z-dn.net/?f=r%3D13)
Since the radius of a sphere cannot be a negative number,
![r=13](https://tex.z-dn.net/?f=r%3D13)
.
We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>
![in^2](https://tex.z-dn.net/?f=in%5E2)
is
13 in.
Answer:
WX = 9
Step-by-step explanation:
WY is the entire line - this tells you that the length of the entire line is 11.
XY is a section of the line, and WX is the section you need to find the length for. Since it is given that XY is of length 2, we can find the length of WX by subtracting the length of XY from WY.
11 (WY) - 2 (XY) = 9.
I would go with B i had this question on my test and i got it correct